Conformality of a differential with respect to Cheeger-Gromoll type metrics
Wojciech Kozlowski, Kamil Niedzialomski
TL;DR
This paper explores the conditions under which the differential of a map between Riemannian manifolds is conformal when tangent bundles are endowed with Cheeger-Gromoll type metrics, extending understanding of geometric structures.
Contribution
It introduces a new analysis of conformality of differentials in the context of generalized Cheeger-Gromoll type metrics on tangent bundles.
Findings
Characterization of conformality conditions for differentials
Extension of conformality concepts to generalized Cheeger-Gromoll metrics
New insights into geometric structures of tangent bundles
Abstract
We investigate conformality of the differential of a mapping between Riemannian manifolds if the tangent bundles are equipped with a generalized metric of Cheeger-Gromoll type.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research