A note on the generalized Obata theorem for Riemannian foliations
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It was obtained in [L-R], [J-L-R] generalized Lichnerowicz and Obata theorems for Riemannian foliations, which reduce to the results on Riemannian manifolds for the point foliations. Recently in [J-J], [P-P], [J-L-R],they studied Riemannian foliations admitting transversal conformal elds. The main purpose of the present paper is to extend some results obtained in the previous papers.
Abstract
It was obtained in [L-R], [J-L-R] generalized Lichnerowicz and Obata theorems for Riemannian foliations, which reduce to the results on Riemannian manifolds for the point foliations. Recently in [J-J], [P-P], [J-L-R],they studied Riemannian foliations admitting transversal conformal elds. The main purpose of the present paper is to extend some results obtained in the previous papers.
참고문헌 (11)
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