@article{oai:teapot.lib.ocha.ac.jp:00034956, author = {Ogawa, Yosuke and Tani, Mariko and 小川, 洋輔 and 谷, 真理子}, issue = {1}, journal = {お茶の水女子大學自然科學報告}, month = {Jul}, note = {application/pdf, 紀要論文, 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.}, pages = {7--13}, title = {On a (2m+1)-dimensional Sasakian Space with Sectional Curvature>(4m-3)/4m(2m-1)}, volume = {18}, year = {1967} }