A NOTE ON GENERALIZED LICHNEROWICZ-OBATA THEOREMS FOR RIEMANNIAN FOLIATIONS

Pak, Hong-Kyung; Park, Jeong-Hyeong

doi:10.4134/BKMS.2011.48.4.769

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A NOTE ON GENERALIZED LICHNEROWICZ-OBATA THEOREMS FOR RIEMANNIAN FOLIATIONS

Journal title : Bulletin of the Korean Mathematical Society
Volume 48, Issue 4, 2011, pp.769-777
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2011.48.4.769

Title & Authors

A NOTE ON GENERALIZED LICHNEROWICZ-OBATA THEOREMS FOR RIEMANNIAN FOLIATIONS
Pak, Hong-Kyung; Park, Jeong-Hyeong;

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 ${${\lambda}$}$ -automorphism with ${\lambda}

Keywords

Riemannian foliation;generalized Lichnerowicz-Obata theorem; ${${\lambda}$}$ -automorphism;transversally Einstein foliation;

Language

English

Cited by

1time(s) in KSCD

A NOTE ON THE GENERALIZED OBATA THEOREM FOR RIEMANNIAN FOLIATIONS,;

Advanced Studies in Contemporary Mathematics, 2012. vol.22. 3, pp.459-465

2time(s) in CrossRef

The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds, Nonlinear Analysis, 2015, 126, 262

A Lower Bound on the Spectrum of the Sublaplacian, The Journal of Geometric Analysis, 2015, 25, 3, 1492

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