Two examples of eigenforms of the Hodge-de Rham Laplacian
Mikes Josef, Stepanov Sergey, Tsyganok Irina
TL;DR
This paper investigates specific eigenforms of the Hodge-de Rham Laplacian acting on conformal and projective Killing one-forms on compact Riemannian manifolds, providing insights into their properties.
Contribution
It introduces two examples of eigenforms of the Hodge-de Rham Laplacian related to conformal and projective Killing forms, expanding understanding of their spectral characteristics.
Findings
Identification of eigenforms associated with conformal Killing forms
Identification of eigenforms associated with projective Killing forms
Analysis of spectral properties of these eigenforms
Abstract
In the present paper, we consider the Hodge-de Rham Laplacian that acts on conformal Killing and projective Killing one-forms of a compact Riemannian manifold.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Nonlinear Partial Differential Equations