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- W2035031035 abstract "It was obtained in [5] generalized Lichnerowicz and Obata theorems for Riemannian foliations, which reduce to the results on Riemannian manifolds for the point foliations. Recently in [3], they studied a generalized Obata theorem for Riemannian foliations admitting transversal conformal fields. Each transversal conformal field is a <TEX>${lambda}$</TEX>-automorphism with <TEX>${lambda}=1-{frac{2}{q}}$</TEX> in the sense of [8]. In the present paper, we extend certain results established in [3] and study Riemannian foliations admitting <TEX>${lambda}$</TEX>-automorphisms with <TEX>${lambda}{geq}1-{frac{2}{q}}$</TEX>." @default.
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- W2035031035 date "2011-07-31" @default.
- W2035031035 modified "2023-10-17" @default.
- W2035031035 title "A NOTE ON GENERALIZED LICHNEROWICZ-OBATA THEOREMS FOR RIEMANNIAN FOLIATIONS" @default.
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- W2035031035 doi "https://doi.org/10.4134/bkms.2011.48.4.769" @default.
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