The Lichnerowicz-Type Laplacians: Vanishing Theorems for Their Kernels and Estimate Theorems for Their Smallest Eigenvalues

The Lichnerowicz-Type Laplacians: Vanishing Theorems for Their Kernels and Estimate Theorems for Their Smallest Eigenvalues

In the present paper, we prove several vanishing theorems for the kernel of the Lichnerowicz-type Laplacian and provide estimates for its lowest eigenvalue on closed Riemannian manifolds. As an example of the Lichnerowicz-type Laplacian, we consider the Hodge–de Rham Laplacian acting on forms and or...

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Bibliographic Details
Main Authors: Josef Mikeš, Sergey Stepanov, Irina Tsyganok
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Lichnerowicz Laplacian
symmetric tensors
exterior differential form
vanishing theorem
eigenvalue
Online Access:https://www.mdpi.com/2227-7390/12/24/3936
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