Spherical cones: classification and a volume minimization principle

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 s...

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Bibliographic Details
Published in:arXiv.org 2023-04
Main Author: Tran-Trung Nghiem
Format: Article
Language:English
Subjects:
Cones
Optimization
Principles
Online Access:Get full text
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Summary: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.
ISSN:2331-8422