The $\eta$-Einstein condition on indefinite s-manifolds
Letizia Brunetti
TL;DR
This paper introduces an $\eta$-Einstein condition for indefinite g.f.f-manifolds and presents Schur-type lemmas for indefinite S-manifolds, advancing the understanding of their geometric properties.
Contribution
It defines the $\eta$-Einstein condition in the indefinite setting and establishes new Schur-type lemmas for indefinite S-manifolds, extending previous results.
Findings
Introduction of $\eta$-Einstein condition for indefinite g.f.f-manifolds
Derivation of Schur-type lemmas for indefinite S-manifolds
Enhanced understanding of geometric structures in indefinite manifolds
Abstract
An -Einstein condition is introduced in the context of indefinite g.f.f-manifolds, and a few Schur-type lemmas for indefinite S-manifolds are provided.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Geometry and complex manifolds