On the geometry of warped foliations
Szymon M. Walczak
TL;DR
This paper explores the geometric properties of warped foliations, providing formulas for curvature measures and illustrating these concepts through examples.
Contribution
It offers new explicit formulas for curvature tensors in warped foliations and applies them to specific cases.
Findings
Formulas for sectional, Ricci, and scalar curvatures in warped foliations
Examples illustrating the curvature properties of warped foliations
Abstract
We discuss the geometry of warped foliations. After examining the Levi-Civita connection, we describe the formulae for sectional, Ricci and scalar curvatures. In the final part of this note, we present some examples.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Point processes and geometric inequalities