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On transverse Killing fields of metric foliations¶of manifolds with positive curvature

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Abstract:

In this paper, we extend a result by H. Takagi on the non-existence of mutually commuting and linearly independent Killing vector fields on positively curved Riemannian manifolds. Further, a kind of “Compact Leaf Theorem” is proved for metric foliations of closed manifolds with positive sectional curvature.

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  1. Depatment of Mathematics, Faculty of Education, Iwate University, 18-33,¶Ueda 3-chome, Morioka 020-8550, Japan. e-mail: oshikiri@iwate-u.ac.jp, , , , , , JP

    Gen-ichi Oshikiri

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  1. Gen-ichi Oshikiri
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Received: 26 May 2000 / Revised version: 28 February 2001

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Oshikiri, Gi. On transverse Killing fields of metric foliations¶of manifolds with positive curvature. manuscripta math. 104, 527–531 (2001). https://doi.org/10.1007/s002290170025

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  • DOI: https://doi.org/10.1007/s002290170025

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