On the diastatic entropy and \(\mathcal{C}^1\)-rigidity of complex hyperbolic manifolds

DOI10.1016/j.geomphys.2019.04.006zbMath1416.53020arXiv1905.01284OpenAlexW2941950769MaRDI QIDQ2422444

Roberto Mossa

Publication date: 19 June 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01284

zbMATH Keywords

complex hyperbolic manifoldsvolume entropydiastatic entropydiastasisbarycentre map

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items (1)

A Cartan-Hartogs version of the polydisk theorem

Cites Work

• Unnamed Item
• Diastatic entropy and rigidity of complex hyperbolic manifolds
• A note on diastatic entropy and balanced metrics
• Differentiable rigidity under Ricci curvature lower bound
• Some remarks on homogeneous Kähler manifolds
• A taste of Jordan algebras
• The real Schwarz Lemma and geometric applications
• Kähler immersions of Kähler manifolds into complex space forms
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• The volume entropy of local Hermitian symmetric space of noncompact type
• Calabi's diastasis function for Hermitian symmetric spaces
• Isometric imbedding of complex manifolds
• Minimal entropy and Mostow's rigidity theorems

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