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1

Karkanis, Tasso. Curvature dependent implicit surface tiling. Ottawa: National Library of Canada, 1999.

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2

Center, Langley Research, ed. Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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3

Wang, Hong. Ultrasonic characterization of the root radius of curvature in a surface breaking defect. Ottawa: National Library of Canada, 1994.

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4

Lucio, Maestrello, and Institute for Computer Applications in Science and Engineering, eds. Stability and control of compressible flows over a surface with concave-convex curvature. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1986.

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5

Center, Langley Research, ed. Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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6

Choudhari, Meelan. Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: Langley Research Center, 1994.

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7

1966-, Pérez Joaquín, ed. A survey on classical minimal surface theory. Providence, Rhode Island: American Mathematical Society, 2012.

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8

Surfaces with constant mean curvature. Providence, R.I: American Mathematical Society, 2003.

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9

López, Rafael. Constant Mean Curvature Surfaces with Boundary. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39626-7.

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10

Nitsche, Johannes C. C. Cyclic surfaces of constant mean curvature. Göttingen: Vandenhoeck& Ruprecht, 1990.

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11

Constant mean curvature immersions of Enneper type. Providence, R.I: American Mathematical Society, 1992.

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12

Curvature and homology. Mineola, N.Y: Dover Publications, 1998.

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13

Stillwell, John. Geometry of surfaces. New York: Springer-Verlag, 1992.

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14

Lectures on mean curvature flows. Providence, R.I: American Mathematical Society, 2002.

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15

Yang, Kichoon. Complete Minimal Surfaces of Finite Total Curvature. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-1104-3.

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16

Yang, Kichoon. Complete Minimal Surfaces of Finite Total Curvature. Dordrecht: Springer Netherlands, 1994.

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17

Yang, Kichoon. Complete minimal surfaces of finite total curvature. Dordrecht: Kluwer Academic, 1994.

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18

United States. National Aeronautics and Space Administration., ed. Curvature continuity in arbitrary bicumic bezier patches: Final report. Hampton, VA: NASA-Langley Research Center, 1990.

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19

Almeida, Sebastião Carneiro de. Minimal hypersurfaces of S⁴ with constant Gauss-Kroenecker curvature. Recife, Brasil: Universidade Federal de Pernambuco, Centro de Ciências Exatas e da Natureza, Departamento de Matemática, 1985.

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20

Leonidovich, Verner Alekseĭ, and Leningradskiĭ gosudarstvennyĭ pedagogicheskiĭ institut imeni A.I. Gert͡s︡ena., eds. Issledovanii͡a︡ po teorii poverkhnosteĭ v mnogoobrazii͡a︡kh znakopostoi͡a︡nnoĭ krivizny: Mezhvuzovskiĭ sbornik nauchnykh trudov. Leningrad: Leningradskiĭ gos. pedagog. in-t im. A.I. Gert͡s︡ena, 1987.

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21

Constant mean curvature surfaces, harmonic maps and integrable systems. Basel: Birkhäuser Verlag, 2001.

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22

Mazón, José M., Julio Daniel Rossi, and J. Julián Toledo. Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06243-9.

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23

Hélein, Frédéric. Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8330-6.

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24

Constant mean curvature surfaces, harmonic maps, and integrable systems. Basel: Birkhäuser Verlag, 2001.

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25

Ilmanen, Tom. Elliptic regularization and partial regularity for motion by mean curvature. Providence, R.I: American Mathematical Society, 1994.

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26

Stephen, Hyde, ed. The Language of shape: The role of curvature in condensed matter--physics, chemistry, and biology. Amsterdam [Netherlands]: Elsevier, 1997.

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27

The language of shape: The role of curvature in condensed matter : physics, chemistry and biology. Amsterdam: Elsevier, 1997.

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28

Giuseppe, Buttazzo, and Visintin A, eds. Motion by mean curvature and related topics: Proceedings of the international conference held at Trento, July 20-24, 1992. Berlin: W. de Gruyter, 1994.

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29

Choudhury, Balamati, and Rakesh Mohan Jha. Refined Ray Tracing inside Single- and Double-Curvatured Concave Surfaces. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-287-808-3.

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30

Izumiya, Shyuichi. Differential geometry from singularity theory viewpoint. New Jersey: World Scientific, 2015.

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31

Surfaces fibrées en courbes de genre deux. Berlin: Springer-Verlag, 1985.

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32

P, Minicozzi William, ed. A course in minimal surfaces. Providence, R.I: American Mathematical Society, 2011.

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33

Wu, K. Chauncey. Free vibration of hexagonal panels simply supported at discrete points. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1991.

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34

1966-, Pérez Joaquín, and Galvez José A. 1972-, eds. Geometric analysis: Partial differential equations and surfaces : UIMP-RSME Santaló Summer School geometric analysis, June 28-July 2, 2010, University of Granada, Granada, Spain. Providence, R.I: American Mathematical Society, 2012.

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35

author, Tian Gang 1958, ed. The geometrization conjecture. Providence, Rhode Island: American Mathematical Society, 2014.

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36

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. Providence, Rhode Island: American Mathematical Society, 2015.

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37

Jaco, William H., Hyam Rubinstein, Craig David Hodgson, Martin Scharlemann, and Stephan Tillmann. Geometry and topology down under: A conference in honour of Hyam Rubinstein, July 11-22, 2011, The University of Melbourne, Parkville, Australia. Providence, Rhode Island: American Mathematical Society, 2013.

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38

Gupta, Abhishek. Nanoparticle Surface and Curvature. Arcler Education Inc, 2017.

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39

Brakke, Kenneth A. Motion of a Surface by Its Mean Curvature. (MN-20). Princeton University Press, 2016.

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40

Brakke, Kenneth A. Motion of a Surface by Its Mean Curvature. (MN-20). Princeton University Press, 2015.

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41

Brakke, Kenneth A. Motion of a Surface by Its Mean Curvature. (MN-20). Princeton University Press, 2015.

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42

Brakke, Kenneth A. Motion of a Surface by Its Mean Curvature. (MN-20). Princeton University Press, 2015.

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43

Keller, Joseph B., and Bertram Levy. Decay Exponents and Diffraction Coefficients for Surface Waves on Surfaces of Non-Constant Curvature. Creative Media Partners, LLC, 2018.

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44

Long-wavelength asymptotics of unstable crossflow modes, including the effect of surface curvature. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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45

Taliaferro, Thomas Hardy. Focal Surfaces of the Congruence Formed by the Tangents to the Lines of Curvature of a Given Surface. Creative Media Partners, LLC, 2018.

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46

Tretkoff, Paula. Riemann Surfaces, Coverings, and Hypergeometric Functions. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0003.

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This chapter deals with Riemann surfaces, coverings, and hypergeometric functions. It first considers the genus and Euler number of a Riemann surface before discussing Möbius transformations and notes that an automorphism of a Riemann surface is a biholomorphic map of the Riemann surface onto itself. It then describes a Riemannian metric and the Gauss-Bonnet theorem, which can be interpreted as a relation between the Gaussian curvature of a compact Riemann surface X and its Euler characteristic. It also examines the behavior of the Euler number under finite covering, along with finite subgroups of the group of fractional linear transformations PSL(2, C). Finally, it presents some basic facts about the classical Gauss hypergeometric functions of one complex variable, triangle groups acting discontinuously on one of the simply connected Riemann surfaces, and the hypergeometric monodromy group.
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47

Stone, Janet, and Anthony Musset. Contact Lens Design Tables: Tables for the Determination of Surface Radii of Curvature of Hard Contact Lenses to Give a Required Axial Edge Lift. Elsevier Science & Technology Books, 2013.

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48

Goldberg, Samuel I. Curvature and Homology. Elsevier Science & Technology Books, 2011.

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49

López, Rafael. Constant Mean Curvature Surfaces with Boundary. Springer, 2016.

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50

López, Rafael. Constant Mean Curvature Surfaces with Boundary. Springer, 2013.

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