Positive sectional curvature, symmetry and Chern's conjecture |
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| Authors: | Hongwei Sun Yusheng Wang |
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| Institution: | a Mathematics Department, Capital Normal University, Beijing 100037, The People's Republic of China
b School of Mathematical Sciences (and Lab. Math. Com. Sys.), Beijing Normal University, Beijing 100875, The People's Republic of China |
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| Abstract: | Let M be a n-manifold of positive sectional curvature. Suppose that M admits an isometrical torus Tk-action with  . The main results of the paper are: (1) the fundamental group π1(M) contains no Zp⊕Zp subgroup with p prime and p≠3 (a partial positive answer to Chern's conjecture); (2) the 2-order element of π1(M) belongs to the center of π1(M). |
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| Keywords: | 53-C20 |
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