Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
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Volume-Preserving flow by powers of the mth mean curvature in the hyperbolic space [PDF]
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The Topology of the AdS/CFT/Randall-Sundrum Complementarity
, 2001 The background geometries of the AdS/CFT and the Randall-Sundrum theories are locally similar, and there is strong evidence for some kind of "complementarity" between them; yet the global structures of the respective manifolds are very different. We show
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Examples of Riemannian Manifolds with non-negative sectional curvature
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Ziller, Wolfgang
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Four-manifolds of Pinched Sectional Curvature
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Cao, Xiaodong, Tran, Hung
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Calc Var Partial Differ Equ, 2022 Buzano R, Di Matteo G.
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On the geometry of cohomogeneity one manifolds with positive curvature
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Feeding design in free-living mesostigmatid chelicerae (Acari: Anactinotrichida). [PDF]
Exp Appl Acarol, 2021 Bowman CE.
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Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms. [PDF]
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