Abstract
We prove vanishing theorems for the kernel of the Sampson Laplacian, acting on symmetric tensors on a Riemannian manifold and estimate its first eigenvalue on negatively pinched Riemannian manifolds. Some applications of these results to conformal Killing tensors are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 91-99 |
| Number of pages | 9 |
| Journal | International Electronic Journal of Geometry |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021
Keywords
- Riemannian manifold
- Sampson Laplacian
- conformal Killing tensor
- spectral and vanishing theorems
ASJC Scopus subject areas
- Mathematical Physics
- Geometry and Topology
- Applied Mathematics
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