On Weitzenb\"ock Curvature Operators
Mohammed Larbi Labbi
TL;DR
This paper introduces a new formula for Weitzenb"ock curvature operators using double forms, facilitating the study of their geometric properties and advancing understanding in differential geometry.
Contribution
It provides a simplified formula for Weitzenb"ock curvature operators via double forms, offering new insights into their geometric characteristics.
Findings
Derived a simple formula for Weitzenb"ock curvature operators
Analyzed geometric properties of these operators
Enhanced understanding of curvature in differential geometry
Abstract
The Weitzenb\"ock curvature operators are the curvature terms of order zero that appear in the well known classical Weitzenb\"ock formula. In this paper, we use the formalism of double forms to prove a simple formula for this operators and to study their geometric properties.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic and Geometric Analysis · Advanced Differential Geometry Research