A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold (Q4993809)

scientific article; zbMATH DE number 7360050

Language	Label	Description	Also known as
English	A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold	scientific article; zbMATH DE number 7360050

Statements

instance of

scholarly article

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publication date

16 June 2021

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full work available at URL

https://arxiv.org/abs/1404.4377

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https://www.fmi.uni-sofia.bg/en/node/6742

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zbMATH Keywords

3-Sasakian

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first eigenvalue

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Lichnerowicz inequality

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quaternionic contact structures

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sub-Laplacian

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author

Alexander Petkov

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.DG

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cites work

The Lichnerowicz theorem on CR manifolds

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Q3882737

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Pluriharmonic boundary values

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Yang-Mills fields on quaternionic spaces

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Nonnegativity of CR Paneitz operator and its application to the CR Obata's theorem

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On the estimate of the first eigenvalue of a sub-Laplacian on a pseudo-Hermitian 3-manifold

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A fourth order curvature flow on a CR 3-manifold

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The entropy formulas for the CR heat equation and their applications on pseudohermitian \((2n+1)\)-manifolds

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Real hypersurfaces in complex manifolds

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The sharp lower bound for the first positive eigenvalue of the sublaplacian on a pseudohermitian 3-manifold

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Quaternionic contact structures in dimension 7

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The dirichlet problem for the bezgman laplacian. II

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Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains

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The first eigenvalue of a sublaplacian on a pseudohermitian manifold

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Q2925664

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Quaternionic contact Einstein manifolds

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Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem

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The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold

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The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven

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

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Conformal quaternionic contact curvature and the local sphere theorem

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Quaternionic contact manifolds with a closed fundamental 4-form

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Q3059725

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An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion

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Conformal paracontact curvature and the local flatness theorem

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Q5635995

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Psuedo-Einstein Structures on CR Manifolds

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Q3274645

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The sharp lower bound for the first positive eigenvalue of a sub-Laplacian on a pseudo-Hermitian manifold

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An Obata-type theorem in CR geometry

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Certain conditions for a Riemannian manifold to be isometric with a sphere

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Identifiers

zbMATH Open document ID

1474.53202

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4993809