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

نویسندگان

چکیده

We study the effect of a nontrivial conformal vector field on geometry compact Riemannian spaces. find two new characterizations m-dimensional sphere Sm(c) constant curvature c. The first characterization uses well known de-Rham Laplace operator, while second solution famous Fischer–Marsden differential equation.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9080863