Around a theory of a Walker spaces
Valerii Dryuma
TL;DR
This paper constructs examples of four-dimensional Ricci-flat spaces with Walker metrics, explores their properties, and discusses the behavior of their geodesic equations, contributing to the understanding of Walker spaces in differential geometry.
Contribution
It introduces new examples of Ricci-flat Walker spaces and analyzes their geodesic equations, expanding the theoretical framework of Walker metrics.
Findings
Constructed Ricci-flat Walker space examples
Analyzed geodesic equations in these spaces
Discussed properties of generalized Walker metrics
Abstract
An examples of a Ricci-flat of four-dimensional spaces with a Walker metrics and their generalizations are constructed. The properties of corresponding geodesic equations are discussed.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Geophysics and Gravity Measurements