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Positively curved manifolds with fixed point cohomogeneity one

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Abstract

Any simply connected fixed point cohomogeneity one riemannian manifold with positive sectional curvature is diffeomorphic to one of the compact rank one symmetric spaces.

참고문헌 (22)

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  12. "Differential topological restrictions by curvature and symmetry", pp.530~ (1997)
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  14. "\it Positively curvedmanifolds with orbits uniform dimension}"
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  16. "a}chen in sph a}re in Ballb", pp.57 427~
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  18. "\it An orthogonal transformation group of the $8", pp.569~1 (1980)
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  20. "\it Compact homogeneous Riemannian manifolds with strictlypositive curvature} Ann. of Math. \textbf", pp.277~ (1972)
  21. "Torus actions on manifolds of positive sectional curvature", pp.259~ (2003)
  22. "Positively curved manifolds with symmetry", pp.607~ (2006)

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