A Ricci nilsoliton is nongradient
Luca Fabrizio Di Cerbo
TL;DR
This paper proves that Ricci nilsolitons cannot be of gradient type, clarifying a specific geometric property of these mathematical structures.
Contribution
It establishes a fundamental limitation on the gradient nature of Ricci nilsolitons, contributing to the understanding of their geometric properties.
Findings
Ricci nilsolitons are not gradient solitons
Clarification of geometric properties of Ricci nilsolitons
Advances understanding of Ricci soliton classifications
Abstract
In this brief note, we clarify that a Ricci nilsoliton cannot be of gradient type.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds