The Bourguignon Laplacian and Harmonic Symmetric Bilinear Forms

The Bourguignon Laplacian and Harmonic Symmetric Bilinear Forms

In this paper, we study the kernel and spectral properties of the Bourguignon Laplacian on a closed Riemannian manifold, which acts on the space of symmetric bilinear forms (considered as one-forms with values in the cotangent bundle of this manifold). We prove that the kernel of this Laplacian is a...

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Bibliographic Details
Main Authors: Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Mathematics
Subjects:
riemannian manifold
bourguignon laplacian
symmetric bilinear form
harmonic
curvature
spectral theory
vanishing theorem
Online Access:https://www.mdpi.com/2227-7390/8/1/83

Internet

https://www.mdpi.com/2227-7390/8/1/83

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