On complete Yamabe soliton
M. Yarahmadi, B. Bidabad
TL;DR
This paper proves that complete shrinking Yamabe solitons have finite fundamental groups and trivial first cohomology, advancing understanding of their topological properties.
Contribution
It establishes new topological constraints on complete shrinking Yamabe solitons, specifically finiteness of the fundamental group and vanishing of the first cohomology group.
Findings
Complete shrinking Yamabe solitons have finite fundamental groups.
Their first cohomology group vanishes.
These results deepen the understanding of their topological structure.
Abstract
In this work, it is shown that a Riemannian complete shrinking Yamabe soliton has finite fundamental group and its first cohomology group vanishes.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research