A potential generalization of some canonical Riemannian metrics

G. Catino; P. Mastrolia

DOI:10.1007/s10455-019-09649-w

Corpus ID: 119720291

A potential generalization of some canonical Riemannian metrics

@article{Catino2017APG,
  title={A potential generalization of some canonical Riemannian metrics},
  author={G. Catino and P. Mastrolia},
  journal={Annals of Global Analysis and Geometry},
  year={2017},
  volume={55},
  pages={719-748}
}

G. Catino, P. Mastrolia

Published 2017

Mathematics

Annals of Global Analysis and Geometry

The aim of this paper is to study new classes of Riemannian manifolds endowed with a smooth potential function, including in a general framework classical canonical structures such as Einstein, harmonic curvature and Yamabe metrics, and, above all, gradient Ricci solitons. For the most rigid cases, we give a complete classification, while for the others we provide rigidity and obstruction results, characterizations and nontrivial examples. In the final part of the paper, we also describe the… CONTINUE READING

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