Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold

We study the effect of a nontrivial conformal vector field on the geometry of compact Riemannian spaces. We find two new characterizations of the <i>m</i>-dimensional sphere <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="bold...

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Bibliographic Details

Main Authors:	Amira Ishan, Sharief Deshmukh, Gabriel-Eduard Vîlcu
Format:	Artigo
Language:	Inglês
Published:	MDPI AG 2021-04-01
Series:	Mathematics
Subjects:	Riemannian manifold sphere conformal vector field de-Rham Laplace operator Fischer–Marsden differential equation Obata’s differential equation
Online Access:	https://www.mdpi.com/2227-7390/9/8/863
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