Classification of low-dimensional complete gradient Yamabe solitons
Shun Maeta
TL;DR
This paper provides a complete classification of nontrivial, non-flat gradient Yamabe solitons in two and three dimensions, advancing understanding of their geometric structure.
Contribution
It offers a full classification of low-dimensional gradient Yamabe solitons, filling a gap in the geometric analysis literature.
Findings
Classified all nontrivial, non-flat 2D and 3D gradient Yamabe solitons.
Identified geometric structures characterizing these solitons.
Enhanced understanding of Yamabe flow solutions in low dimensions.
Abstract
In this paper, we completely classify nontrivial non-flat two- and three-dimensional complete gradient Yamabe solitons.
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