Existence of cohomogeneity one Einstein metrics
Hanci Chi
TL;DR
This paper establishes a sufficient inequality-based condition involving geometric data that guarantees the existence of cohomogeneity one Einstein metrics on certain double disk bundles.
Contribution
It introduces a new inequality condition that ensures the existence of cohomogeneity one Einstein metrics on double disk bundles of two summands type.
Findings
Derived a sufficient inequality condition for existence
Applied the condition to specific geometric data
Provided new insights into Einstein metrics on disk bundles
Abstract
This paper derives a sufficient condition for the existence of cohomogeneity one Einstein metrics on double disk bundles of two summands type. The condition is an inequality that involves geometric data from the principal orbits.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research