On the sectional curvature of Kahler manifolds of indefinite metrics
Ognian Kassabov, Adrijan Borisov
TL;DR
This paper investigates the curvature properties of indefinite metric Kähler manifolds, establishing analogues of Kulkarni's theorem to deepen understanding of their geometric structure.
Contribution
It introduces new curvature results for indefinite metric Kähler manifolds, extending classical theorems to this indefinite setting.
Findings
Established analogues of Kulkarni's theorem for indefinite Kähler manifolds
Identified specific curvature properties unique to indefinite metrics
Enhanced understanding of the geometric structure of indefinite Kähler manifolds
Abstract
Some curvature properties of Kahler manifolds of indefinite metrics are studied. Analogues of a Kulkarni's theorem are proved for such manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Black Holes and Theoretical Physics