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arXiv · 1507.05974

A note on (anti-)self dual quasi Yamabe gradient soliton

Benedito Leandro Neto
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Abstract

In this note we prove that a (anti-)self dual quasi Yamabe soliton with positive sectional curvature is rotationally symmetric. This generalizes a recent result of G. Huang and H. Li in dimension four. Whence, (anti-) self dual gradient Yamabe solitons with positive sectional curvature is rotationally symmetric. We also prove that half conformally flat gradient Yamabe soliton has a special warped product structure provided that the potential function has no critical point.

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Benedito Leandro Neto. 2015-07-21. A note on (anti-)self dual quasi Yamabe gradient soliton. https://arxiv.org/abs/1507.05974

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