The Sampson Laplacian on Negatively Pinched Riemannian Manifolds

Authors : Vladimir ROVENSKİ, Sergey STEPANOV, Irina TSYGANOK

Pages : 91-99

Doi:10.36890/iejg.780995

View : 53 | Download : 16

Publication Date : 2021-04-15

Article Type : Conference Paper

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.
Keywords : Riemannian manifold, Sampson Laplacian, spectral and vanishing theorems, conformal Killing tensor

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