Results 21 to 30 of about 15,646,215 (77)
Curvature Pinching Problems for Compact Pseudo-Umbilical PMC Submanifolds in Sm(c)×R
, 2023 Let Sm(c) denote a sphere with a positive constant curvature c and Mn(n≥3) be an n-dimensional compact pseudo-umbilical submanifold in a Riemannian product space Sm(c)×R with a nonzero parallel mean curvature vector (PMC), where R is a Euclidean
Wang-Hua Qiu, Xin Zhan
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Constant scalar curvature metrics on connected sums
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 7, Page 405-450, 2003., 2003 The Yamabe problem (proved in 1984) guarantees the existence of a metric of constant scalar curvature in each conformal class of Riemannian metrics on a compact manifold of dimension n ≥ 3, which minimizes the total scalar curvature on this conformal class. Let (M′, g′) and (M″, g″) be compact Riemannian n‐manifolds. We form their connected sumM′#M″ by
Dominic Joyce
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A spinorial energy functional: Critical points and gradient flow [PDF]
, 2012 On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
Hartmut Weiss +5 more
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, 2011 This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's ...
Christopher Hopper +3 more
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Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
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Totally real submanifolds of the nearly kaehler 6-sphere [PDF]
, 1997 Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
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Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
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Relatively Anosov representations via flows II: Examples
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract This is the second in a series of two papers that develops a theory of relatively Anosov representations using the original “contracting flow on a bundle” definition of Anosov representations introduced by Labourie and Guichard–Wienhard. In this paper, we focus on building families of examples.
Feng Zhu, Andrew Zimmer
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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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