The Obata sphere theorems on a quaternionic contact manifold of dimension bigger than seven

DOI10.4171/JST/187zbMath1390.53088arXiv1303.0409MaRDI QIDQ680708

Dimiter Vassilev, Stefan Ivanov, Alexander Petkov

Publication date: 26 January 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0409

zbMATH Keywords

sub-LaplacianLichnerowicz-type estimateObata sphere theoremquaternionic contact manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Contact manifolds (general theory) (53D10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold ⋮ The almost Schur lemma in quaternionic contact geometry ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ The Obata first eigenvalue theorem on a seven-dimensional quaternionic contact manifold ⋮ The Lichnerowicz-Obata theorem on sub-Riemannian manifolds with transverse symmetries

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