[图书][B] Lie groups and geometric aspects of isometric actions
MM Alexandrino, RG Bettiol - 2015 - Springer
This book is intended for advanced undergraduates, graduate students, and young
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …
[图书][B] The Ricci flow in Riemannian geometry: a complete proof of the differentiable 1/4-pinching sphere theorem
B Andrews, C Hopper - 2010 - books.google.com
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 …
required aspects of differential geometry, progressing through existence and regularity …
An exotic with positive curvature
We construct a metric with positive sectional curvature on a 7-manifold which supports an
isometry group with orbits of codimension 1. It is a connection metric on the total space of an …
isometry group with orbits of codimension 1. It is a connection metric on the total space of an …
A 7-manifold with positive curvature
O Dearricott - 2011 - projecteuclid.org
A 7-MANIFOLD WITH POSITIVE CURVATURE Page 1 A 7-MANIFOLD WITH POSITIVE
CURVATURE OWEN DEARRICOTT In memory of Detlef Gromoll Abstract We demonstrate the …
CURVATURE OWEN DEARRICOTT In memory of Detlef Gromoll Abstract We demonstrate the …
Isoparametric functions and exotic spheres
J Ge, Z Tang - Journal für die reine und angewandte Mathematik …, 2013 - degruyter.com
The first part of the paper is to improve the fundamental theory of isoparametric functions on
general Riemannian manifolds. Next we focus our attention on exotic spheres, especially on …
general Riemannian manifolds. Next we focus our attention on exotic spheres, especially on …
Riemannian manifolds with positive sectional curvature
O Dearricott, F Galaz-García, L Kennard… - Geometry of Manifolds …, 2014 - Springer
Riemannian Manifolds with Positive Sectional Curvature | SpringerLink Skip to main content
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
Advertisement SpringerLink Account Menu Find a journal Publish with us Track your research …
On the Hopf conjecture with symmetry
L Kennard - Geometry & Topology, 2013 - msp.org
The Hopf conjecture states that an even-dimensional, positively curved Riemannian
manifold has positive Euler characteristic. We prove this conjecture under the additional …
manifold has positive Euler characteristic. We prove this conjecture under the additional …
The sphere theorems for manifolds with positive scalar curvature
JR Gu, HW Xu - Journal of Differential Geometry, 2012 - projecteuclid.org
Some new differentiable sphere theorems are obtained via the Ricci flow and stable
currents. We prove that if Mn is a compact manifold whose normalized scalar curvature and …
currents. We prove that if Mn is a compact manifold whose normalized scalar curvature and …
An optimal differentiable sphere theorem for complete manifolds
HWX Gu - arXiv preprint arXiv:1005.2557, 2010 - arxiv.org
A new differentiable sphere theorem is obtained from the view of submanifold geometry. An
important scalar is defined by the scalar curvature and the mean curvature of an oriented …
important scalar is defined by the scalar curvature and the mean curvature of an oriented …