Mathematics > Differential Geometry
arXiv:2606.22045 (math)
[Submitted on 20 Jun 2026]
Abstract:In this article, we derive the first variation formula for the Dirichlet scalar curvature energy functional on Riemannian manifolds. Motivated by this variational framework, we introduce a natural generalization of Einstein metrics, called Dirichlet--Einstein metrics, and we investigate some of their fundamental properties.
Submission history
From: Ahmed Mohammed Cherif [view email]
[v1]
Sat, 20 Jun 2026 13:58:23 UTC (7 KB)
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