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2024 | OriginalPaper | Chapter

Lichnerowicz-Type Laplacians in the Bochner Technique

Authors : Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok

Published in: Differential Geometric Structures and Applications

Publisher: Springer Nature Switzerland

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Abstract

In the well-known monograph of A. Besse the following is written: the Bochner technique is a method of proving vanishing theorems for null space of a Laplace operator admitting a Weitzenböck decomposition and further of estimating its lowest nonzero eigenvalue. In this article, we consider a generalized form of the well-known Lichnerowicz Laplacian, show how the Bochner technique works for this operator and provide some its important examples.

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previous chapter Growth and Structure of Equicontinuous Foliated Spaces
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Metadata
Title
Lichnerowicz-Type Laplacians in the Bochner Technique
Authors
Vladimir Rovenski
Sergey Stepanov
Irina Tsyganok
Copyright Year
2024
Book
Differential Geometric Structures and Applications

Print ISBN: 978-3-031-50585-0

Electronic ISBN: 978-3-031-50586-7

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50586-7_8

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