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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Bibliografiske detaljer

Principais autores:	Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
Format:	Artigo
Sprog:	Inglês
Udgivet:	MDPI AG 2020-01-01
Serier:	Mathematics
Fag:	riemannian manifold bourguignon laplacian symmetric bilinear form harmonic curvature spectral theory vanishing theorem
Online adgang:	https://www.mdpi.com/2227-7390/8/1/83
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