Academic literature on the topic 'Ricci lower bound'
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Journal articles on the topic "Ricci lower bound"
ZHANG, ZHOU. "RICCI LOWER BOUND FOR KÄHLER–RICCI FLOW." Communications in Contemporary Mathematics 16, no. 02 (April 2014): 1350053. http://dx.doi.org/10.1142/s0219199713500533.
Full textHu, Zisheng, Yadong Jin, and Senlin Xu. "A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications." International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–14. http://dx.doi.org/10.1155/2010/758531.
Full textWei, Guofang. "Manifolds with a lower Ricci Curvature Bound." Surveys in Differential Geometry 11, no. 1 (2006): 203–28. http://dx.doi.org/10.4310/sdg.2006.v11.n1.a7.
Full textXu, Guoyi. "Lower bound of Ricci flow's existence time." Bulletin of the London Mathematical Society 47, no. 5 (September 18, 2015): 759–70. http://dx.doi.org/10.1112/blms/bdv054.
Full textLiu, Gang. "Kähler manifolds with Ricci curvature lower bound." Asian Journal of Mathematics 18, no. 1 (2014): 69–100. http://dx.doi.org/10.4310/ajm.2014.v18.n1.a4.
Full textBessières, L., G. Besson, G. Courtois, and S. Gallot. "Differentiable rigidity under Ricci curvature lower bound." Duke Mathematical Journal 161, no. 1 (January 2012): 29–67. http://dx.doi.org/10.1215/00127094-1507272.
Full textLING, JUN. "A LOWER BOUND OF THE FIRST DIRICHLET EIGENVALUE OF A COMPACT MANIFOLD WITH POSITIVE RICCI CURVATURE." International Journal of Mathematics 17, no. 05 (May 2006): 605–17. http://dx.doi.org/10.1142/s0129167x06003631.
Full textSturm, Karl-Theodor. "Distribution-Valued Ricci Bounds for Metric Measure Spaces, Singular Time Changes, and Gradient Estimates for Neumann Heat Flows." Geometric and Functional Analysis 30, no. 6 (November 20, 2020): 1648–711. http://dx.doi.org/10.1007/s00039-020-00554-0.
Full textWang, Yu, and Xiangwen Zhang. "Measure Estimates, Harnack Inequalities and Ricci Lower Bound." Acta Mathematica 55 (November 2018): 21–51. http://dx.doi.org/10.4467/20843828am.18.002.9718.
Full textErdoğan, Mehmet. "A lower bound estimation for the Ricci curvature of a hypersurface in a hyperbolic space." Studia Scientiarum Mathematicarum Hungarica 46, no. 4 (December 1, 2009): 539–46. http://dx.doi.org/10.1556/sscmath.46.2009.4.1106.
Full textDissertations / Theses on the topic "Ricci lower bound"
Jansen, Dorothea Gisela [Verfasser], and Burkhard [Akademischer Betreuer] Wilking. "Existence of typical scales for manifolds with lower Ricci curvature bound / Dorothea Gisela Jansen ; Betreuer: Burkhard Wilking." Münster : Universitäts- und Landesbibliothek Münster, 2016. http://d-nb.info/1141577577/34.
Full textCOLOMBO, GIULIO. "GLOBAL GRADIENT BOUNDS FOR SOLUTIONS OF PRESCRIBED MEAN CURVATURE EQUATIONS ON RIEMANNIAN MANIFOLDS." Doctoral thesis, Università degli Studi di Milano, 2021. http://hdl.handle.net/2434/813095.
Full textTamanini, Luca. "Analysis and Geometry of RCD spaces via the Schrödinger problem." Thesis, Paris 10, 2017. http://www.theses.fr/2017PA100082/document.
Full textMain aim of this manuscript is to present a new interpolation technique for probability measures, which is strongly inspired by the Schrödinger problem, an entropy minimization problem deeply related to optimal transport. By means of the solutions to the Schrödinger problem, we build an efficient approximation scheme, robust up to the second order and different from Brenier-McCann's classical one. Such scheme allows us to prove the second order differentiation formula along geodesics in finite-dimensional RCD* spaces. This formula is new even in the context of Alexandrov spaces and we provide some applications.The proof relies on new, even in the smooth setting, estimates concerning entropic interpolations which we believe are interesting on their own. In particular we obtain:- equiboundedness of the densities along the entropic interpolations,- equi-Lipschitz continuity of the Schrödinger potentials,- a uniform weighted L2 control of the Hessian of such potentials. These tools are very useful in the investigation of the geometric information encoded in entropic interpolations. The techniques used in this work can be also used to show that the viscous solution of the Hamilton-Jacobi equation can be obtained via a vanishing viscosity method, in accordance with the smooth case. Throughout the whole manuscript, several remarks on the physical interpretation of the Schrödinger problem are pointed out. Hopefully, this will allow the reader to better understand the physical and probabilistic motivations of the problem as well as to connect them with the analytical and geometric nature of the dissertation
Conference papers on the topic "Ricci lower bound"
Jiang, Long, Shikui Chen, and Xianfeng David Gu. "Generative Design of Multi-Material Hierarchical Structures via Concurrent Topology Optimization and Conformal Geometry Method." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97617.
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