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

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">...

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Bibliographic Details
Main Authors: Amira Ishan, Sharief Deshmukh, Gabriel-Eduard Vîlcu
Format: Article
Language:English
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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