On a (2m+1)-dimensional Sasakian Space with Sectional Curvature>(4m-3)/4m(2m-1)

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概要

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• For a compact Sasakian space, the following result was recently given by S. Tachibana and Y. Ogawa [1]. THEOREM 1.^2) Let M be a compact (2m+1)-dimensional Sasakian space. If any sectional curvature of M is larger than 1/2m, the second Betti number vanishes ; i.e. b_2(M)=0. In this paper, by making use of Berger's method [2] we shall get a little better result, namely, THEOREM 2. Let M be a compact (2m+1)-dimensional Sasakian space. If any sectional curvature of M is larger than (4m-3)/4m(2m-1), then b_2(M)=0. The authors wish to express their sincere gratitude to Professor S. Tachibana who offered them many suggestions.

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著者

• 谷 真理子

  Department Of Mathematics Faculty Of Science Ochanomizu University

• 小川 洋輔

  Department of Mathematics, Faculty of Science, Ochanomizu University

関連論文

• On a (2m+1)-dimensional Sasakian Space with Sectional Curvature>(4m-3)/4m(2m-1)
• On the second Betti number of a compact Sasakian space
• On Special Almost Kahlerian Spaces : Dedicated to Professor S. Sasaki on his 60th birthday
• Operators on Almost Kahlerian Spaces

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