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

Autor: Vladimir Rovenski, Sergey Stepanov, Josef Mikeš
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics, Vol 11, Iss 21, p 4434 (2023)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11214434
Popis: 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 obtained results to the theory of infinitesimal Einstein deformations.
Databáze: Directory of Open Access Journals