Spherical CR-symmetric hypersurfaces in Hermitian symmetric spaces

DOI10.1215/00192082-10817210OpenAlexW4386259499MaRDI QIDQ6183823

Makoto Kimura, Jong Taek Cho

Publication date: 4 January 2024

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-67/issue-3/Spherical-CR-symmetric-hypersurfaces-in-Hermitian-symmetric-spaces/10.1215/00192082-10817210.full

zbMATH Keywords

Hermitian symmetric spacesspherical CR manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35) Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\eta\)-parallel contact metric spaces
• Pseudo-Hermitian symmetries
• Symmetries and \(\phi\)-symmetric spaces
• Real hypersurfaces in complex manifolds
• Sasakian \(\varphi\)-symmetric spaces
• Spherical hypersurfaces in complex manifolds
• Pseudo-hermitian structures on a real hypersurface
• The classification of \(\varphi\)-symmetric Sasakian manifolds
• A class of locally \(\varphi\)-symmetric contact metric spaces
• A full classification of contact metric \((k,\mu)\)-spaces
• Contact metric manifolds satisfying a nullity condition
• On symmetric Cauchy-Riemann manifolds
• Contact hypersurfaces and CR-symmetry
• Contact real hypersurfaces in the complex hyperbolic quadric
• Strongly pseudo-convex CR space forms
• Locally symmetric contact metric manifolds
• The topology of contact Riemannian manifolds
• Bochner-Kähler metrics
• A CLASSIFICATION OF SPHERICAL SYMMETRIC CR MANIFOLDS
• GEOMETRY OF CONTACT STRONGLY PSEUDO-CONVEX CR-MANIFOLDS
• Variational Problems on Contact Riemannian Manifolds
• The Chern-Moser-Tanaka Invariant on Pseudo-Hermitian Almost CR Manifolds
• Contact hypersurfaces in Kähler manifolds
• Riemannian geometry of contact and symplectic manifolds

This page was built for publication: Spherical CR-symmetric hypersurfaces in Hermitian symmetric spaces