Skip to main content
MathOverflow

Return to Answer

deleted 49 characters in body
Source Link
Oliver Jones
Oliver Jones
  • 1.4k
  • 10
  • 21

Any manifold that satisfies this condition must have the property that the complement of a point is an open ball. If we assume that the manifold is complete, then thisThis means that the antipodal set of any point is just a point. Compact symmetric spaces satisfying this condition have been classified by Liu and Deng. See "The antipodal sets of compact symmetric spaces" in Balkan J. Geom. Appl. 19, no. 1, 73-79.

Any manifold that satisfies this condition must have the property that the complement of a point is an open ball. If we assume that the manifold is complete, then this means that the antipodal set of any point is just a point. Compact symmetric spaces satisfying this condition have been classified by Liu and Deng. See "The antipodal sets of compact symmetric spaces" in Balkan J. Geom. Appl. 19, no. 1, 73-79.

Any manifold that satisfies this condition must have the property that the complement of a point is an open ball. This means that the antipodal set of any point is just a point. Compact symmetric spaces satisfying this condition have been classified by Liu and Deng. See "The antipodal sets of compact symmetric spaces" in Balkan J. Geom. Appl. 19, no. 1, 73-79.

Source Link
Oliver Jones
Oliver Jones
  • 1.4k
  • 10
  • 21

Any manifold that satisfies this condition must have the property that the complement of a point is an open ball. If we assume that the manifold is complete, then this means that the antipodal set of any point is just a point. Compact symmetric spaces satisfying this condition have been classified by Liu and Deng. See "The antipodal sets of compact symmetric spaces" in Balkan J. Geom. Appl. 19, no. 1, 73-79.