Geodesic Mappings and Einstein Spaces
Irena Hinterleitner, Josef Mike\v{s}
TL;DR
This paper investigates how geodesic mappings affect the smoothness of metrics and explores their properties when applied to Einstein spaces, revealing preservation of smoothness classes.
Contribution
It demonstrates that geodesic mappings preserve the smoothness class of metrics and analyzes their behavior specifically on Einstein spaces.
Findings
Geodesic mappings preserve metric smoothness classes.
Properties of geodesic mappings on Einstein spaces are characterized.
The study enhances understanding of metric transformations in differential geometry.
Abstract
In this paper we study fundamental properties of geodesic mappings with respect to the smoothness class of metrics. We show that geodesic mappings preserve the smoothness class of metrics. We study geodesic mappings of Einstein spaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds