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University lecturer.

Aug
25
revised Global decomposition of reductive spaces
Clarify question.
Aug
24
revised Global decomposition of reductive spaces
added 45 characters in body
Aug
24
asked Global decomposition of reductive spaces
Jul
16
comment Non-flat totally geodesic surfaces
Thanks very much Robert. I wasn't aware of that result in Helgason.
Jul
16
accepted Non-flat totally geodesic surfaces
Jul
15
asked Non-flat totally geodesic surfaces
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
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.