bio | website | |
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location | Los Angeles | |
age | ||
visits | member for | 4 years, 2 months |
seen | 19 hours ago | |
stats | profile views | 257 |
University lecturer.
Jun 14 |
revised |
Intersections of open balls in manifolds
deleted 49 characters in body |
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 |
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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? |