A Note on the Geometry of Certain Classes of Lichnerowicz Laplacians and Their Applications

In the present paper, we prove vanishing theorems for the null space of the Lichnerowicz Laplacian acting on symmetric two tensors on complete and closed Riemannian manifolds and further estimate its lowest eigenvalue on closed Riemannian manifolds. In addition, we give an application of the obtaine...

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Bibliographic Details
Main Authors: Vladimir Rovenski, Sergey Stepanov, Josef Mikeš
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/21/4434