Non-K\"ahler Expanding Ricci Solitons
Andrew S. Dancer, McKenzie Y. Wang
TL;DR
This paper introduces new examples of non-Kähler expanding Ricci solitons on certain vector bundles over Einstein manifolds, expanding the known landscape of Ricci soliton solutions.
Contribution
It constructs explicit non-Kähler complete expanding gradient Ricci solitons on trivial vector bundles over Einstein manifolds with positive scalar curvature.
Findings
New non-Kähler expanding Ricci solitons constructed
Examples on trivial vector bundles over Einstein manifolds
Enhances understanding of Ricci soliton diversity
Abstract
We produce new examples of non-K\"ahler complete expanding gradient Ricci solitons on trivial vector bundles over a product of Einstein manifolds with positive scalar curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research