A note on Minkowski formula of conformal Killing-Yano $2$-form
Xiaoxiang Chai
TL;DR
This paper investigates the Minkowski formula related to conformal Killing-Yano 2-forms in constant curvature spacetimes, establishing a spacetime Alexandrov theorem with free boundary conditions.
Contribution
It introduces a Minkowski formula for conformal Killing-Yano 2-forms and proves a corresponding Alexandrov theorem in this geometric setting.
Findings
Derived a Minkowski formula for conformal Killing-Yano 2-forms.
Proved a spacetime Alexandrov theorem with free boundary conditions.
Abstract
We study the Minkowski formula of conformal Killing-Yano two-forms in a spacetime of constant curvature. We establish the spacetime Alexandrov theorem with a free boundary.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Black Holes and Theoretical Physics · Geometry and complex manifolds