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arXiv · 2407.06999

Ricci solitons as submanifolds of complex hyperbolic spaces

Ángel Cidre-Díaz·Víctor Sanmartín-López
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Abstract

Any homogeneous expanding Ricci soliton is known to be isometric to a Lie subgroup of the solvable part of the Iwasawa decomposition associated with a symmetric space of non-compact type, with the metric induced as a submanifold. In this paper, we classify and analyze the geometry of such Lie subgroups with Ricci soliton induced metric when the symmetric spaces are complex hyperbolic spaces.

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Ángel Cidre-Díaz, Víctor Sanmartín-López. 2024-07-09. Ricci solitons as submanifolds of complex hyperbolic spaces. https://arxiv.org/abs/2407.06999

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