We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Lichnerovicz Laplacian.
- Authors
Stepanov, S. E.; Tsyganok, I. I.
- Abstract
In this paper, we study the geometry of the kernel of the Lichnerovicz Laplacian in the case of complete and, in particular, compact Riemannian manifolds, and also propose a lower estimate of its eigenvalues on a compact Riemannian manifold whose curvature operator is bounded from below and an upper estimate of its eigenvalues on a compact Riemannian manifold with the Ricci curvature bounded from below. We define the Lichnerovicz Laplacian on the space of smooth sections of the bundle of covariant tensors as is required by its original definition; this distinguishes our results from results obtained earlier.
- Subjects
EIGENVALUES; CURVATURE
- Publication
Journal of Mathematical Sciences, 2022, Vol 263, Issue 3, p415
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-022-05940-7