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University lecturer.

Jun
14
revised Intersections of open balls in manifolds
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Jun
14
awarded  Revival
Jun
14
answered Intersections of open balls in manifolds
Jun
10
comment Intersections of open balls in manifolds
Actually, it's easy to see that any manifold satisfying the condition must have the property that the complement of a point is an open ball.
Jun
9
awarded  Popular Question
May
29
comment Intersections of open balls in manifolds
Any Wiedersehen manifold has this property. These are manifolds for which the cut locus of any point is a single point.
May
23
comment Where is the exponential map a diffeomorphism?
It is well known that the maximal normal neighborhood of the exponential map $\text{exp}_p$ is the complement of the cut locus at $p$.
Apr
21
awarded  Popular Question
Nov
25
awarded  Yearling
Nov
17
comment Gaussian Curvature of Exponentiated 2-Planes
Anton: you expect what is true?
Nov
17
comment Gaussian Curvature of Exponentiated 2-Planes
Okay, thanks Anton. It would be nice to know what happens in the case of compact symmetric spaces.
Nov
17
accepted Gaussian Curvature of Exponentiated 2-Planes
Nov
17
awarded  Popular Question
Nov
15
comment Gaussian Curvature of Exponentiated 2-Planes
Anton, what if I add the condition that the manifold $M$ is compact? I'm specifically interested in the case of Riemannian symmetric spaces of compact type.
Nov
15
revised Gaussian Curvature of Exponentiated 2-Planes
deleted 2 characters in body
Nov
15
asked Gaussian Curvature of Exponentiated 2-Planes
Sep
24
awarded  Autobiographer
Sep
23
comment Tori in Compact Riemannian Symmetric Spaces
@IgorBelegradek: Thanks for the reference.
Sep
22
comment Tori in Compact Riemannian Symmetric Spaces
I guessed that's what you meant but just wanted to make sure. Thanks again for the nice answer.
Sep
22
comment Tori in Compact Riemannian Symmetric Spaces
Thanks for the answer Robert but there's something puzzling me. The flats you describe above need not be tori, right? For example, if we have a symmetric space of noncompact type then the exponential map is a diffeomorphism and so the space can't contain a torus. Have I misunderstood something?