Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 490280

Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

4 votes
0 answers
116 views

Request for two unpublished articles of Detlef Gromoll

I am looking for two articles for my research purpose, which are entitled with "Convex riemannian manifolds" and "Convex sets in riemannian manifolds" by Detlef Gromoll. I would appreciate it if anyon …
eulershi's user avatar
  • 241
3 votes
1 answer
78 views

Special property of flat spaces

I'm reading Eschenburg's paper Local convexity and nonnegative curvature — Gromov's proof of the sphere theorem recently. And I meet a little question. In 6.1 he said: let $M=\mathbb{R}^n$ be the eucl …
eulershi's user avatar
  • 241
3 votes
1 answer
161 views

Estimate the second derivative of a Jacobi field

I'm reading Local convexity and nonnegative curvature-Gromov's proof of the sphere theorem of Eschenburg recently. In his proof in Lemma 4.3, he consider the following question: Suppose $0\leq K\leq k …
eulershi's user avatar
  • 241
2 votes
0 answers
277 views

Detail in Perelman's proof of the soul conjecture

Referring to G. Perelman, Proof of the soul conjecture by Cheeger and Gromoll. Given a distance-nonincreasing retraction $P$ from an open complete manifold of nonnegative curvature onto its soul $S$, …
eulershi's user avatar
  • 241
1 vote
2 answers
147 views

Construct a hypersurface with fixed principal curvatures at a point

I'm reading Eschenburg's paper Local convexity and nonnegative curvature — Gromov's proof of the sphere theorem recently. And I meet a little question: Given a point $p\in M$, $N\in T_pM$, we want to …
eulershi's user avatar
  • 241
1 vote
1 answer
103 views

Before focal point, the locally distance function is smooth

I'm reading Eschenburg's paper Local convexity and nonnegative curvature — Gromov's proof of the sphere theorem recently. And I meet a little question: In the proof of Lemma 7.4, He let $d$ be the sig …
eulershi's user avatar
  • 241