Spherical cones: classification and a volume minimization principle
Differential Geometry
2023-04-25 v3 Algebraic Geometry
Abstract
Using a variational approach, we establish the equivalence between a weighted volume minimization principle and the existence of a conical Calabi-Yau structure on horospherical cones with mild singularities. This allows us to do explicit computations on the examples arising from rank-two symmetric spaces, showing the existence of many irregular horospherical cones.
Cite
@article{arxiv.2211.10303,
title = {Spherical cones: classification and a volume minimization principle},
author = {Tran-Trung Nghiem},
journal= {arXiv preprint arXiv:2211.10303},
year = {2023}
}
Comments
36 pages. to appear in J. Geom. Anal