[图书][B] Foliations on Riemannian manifolds and submanifolds
V Rovenski - 2012 - books.google.com
This monograph is based on the author's results on the Riemannian ge ometry of foliations
with nonnegative mixed curvature and on the geometry of sub manifolds with generators …
with nonnegative mixed curvature and on the geometry of sub manifolds with generators …
[PDF][PDF] Nonnegatively and positively curved manifolds
B Wilking - arXiv preprint arXiv:0707.3091, 2007 - arxiv.org
arXiv:0707.3091v1 [math.DG] 20 Jul 2007 Page 1 arXiv:0707.3091v1 [math.DG] 20 Jul 2007
NONNEGATIVELY AND POSITIVELY CURVED MANIFOLDS BURKHARD WILKING The aim of …
NONNEGATIVELY AND POSITIVELY CURVED MANIFOLDS BURKHARD WILKING The aim of …
Index parity of closed geodesics and rigidity of Hopf fibrations
B Wilking - Inventiones mathematicae, 2001 - Springer
The diameter rigidity theorem of Gromoll and Grove [1987] states that a Riemannian
manifold with sectional curvature≥ 1 and diameter≥ π/2 is either homeomorphic to a …
manifold with sectional curvature≥ 1 and diameter≥ π/2 is either homeomorphic to a …
[PDF][PDF] Injectivity radius estimates and sphere theorems
U Abresch, WT Meyer - Comparison geometry, 1997 - library.slmath.org
Injectivity Radius Estimates and Sphere Theorems Page 1 Comparison Geometry MSRI
Publications Volume 30, 1997 Injectivity Radius Estimates and Sphere Theorems UWE …
Publications Volume 30, 1997 Injectivity Radius Estimates and Sphere Theorems UWE …
Foliations, submanifolds, and mixed curvature
V Rovenskii - Journal of Mathematical Sciences, 2000 - Springer
Chapter 1 (introductory) contains facts concerning foliated smooth manifolds. Chapter 2
deals not only with a foliated Riemannian manifold, but also with the slightly more general …
deals not only with a foliated Riemannian manifold, but also with the slightly more general …
Classification of pseudo‐Riemannian submersions with totally geodesic fibres from pseudo‐hyperbolic spaces
G Bădiţoiu - Proceedings of the London Mathematical Society, 2012 - Wiley Online Library
We classify pseudo‐Riemannian submersions with connected totally geodesic fibres from a
real pseudo‐hyperbolic space onto a pseudo‐Riemannian manifold. Also, we obtain the …
real pseudo‐hyperbolic space onto a pseudo‐Riemannian manifold. Also, we obtain the …
Rigidity for positively curved Alexandrov spaces with boundary
J Ge, R Li - Geometriae Dedicata, 2021 - Springer
Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius,
2018), where the authors studied positively curved Alexandrov spaces with largest possible …
2018), where the authors studied positively curved Alexandrov spaces with largest possible …
Semi-Riemannian submersions with totally geodesic fibres
G Baditoiu - Tohoku Mathematical Journal, Second Series, 2004 - jstage.jst.go.jp
We classify semi-Riemannian submersions with connected totally geodesic fibres from a
real pseudo-hyperbolic space onto a semi-Riemannian manifold under the assumption that …
real pseudo-hyperbolic space onto a semi-Riemannian manifold under the assumption that …
Positively curved manifolds with large conjugate radius
B Schmidt - Journal of Topology and Analysis, 2013 - World Scientific
Let M denote a complete simply connected Riemannian manifold with all sectional
curvatures≥ 1. The purpose of this paper is to prove that when M has conjugate radius at …
curvatures≥ 1. The purpose of this paper is to prove that when M has conjugate radius at …
An isometrical ℂP n -theorem
X Su, H Sun, Y Wang - Frontiers of Mathematics in China, 2018 - Springer
Let M n (n⩾ 3) be a complete Riemannian manifold with sec M⩾ 1, and let M_i^ n_i M ini (i=
1, 2) be two complete totally geodesic submanifolds in M. We prove that if n 1+ n 2= n− 2 …
1, 2) be two complete totally geodesic submanifolds in M. We prove that if n 1+ n 2= n− 2 …