Semi-isometric CR immersions of CR manifolds into Kähler manifolds and applications

DOI10.2422/2036-2145.201902_008OpenAlexW3037378625MaRDI QIDQ5161604

Duong Ngoc Son

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07451

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Analysis on CR manifolds (32V20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (4)

The holomorphic sectional curvature and “convex” real hypersurfaces in Kähler manifolds ⋮ Eigenvalues of the Kohn Laplacian and deformations of pseudohermitian structures on CR manifolds ⋮ The CR umbilical locus of a real ellipsoid in \(\mathbb{C}^2\) ⋮ The CR Ahlfors derivative and a new invariant for spherically equivalent CR maps

Cites Work

• Unnamed Item
• Unnamed Item
• A reflection principle with applications to proper holomorphic mappings
• A family of compact strictly pseudoconvex hypersurfaces in \(\mathbb{C}^2\) without umbilical points
• An explicit formula for the Webster pseudo-Ricci curvature on real hypersurfaces and its application for characterizing balls in \(\mathbb C^n\)
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• The Burns-Epstein invariant and deformation of CR structures
• Flatness of CR submanifolds in a sphere
• The linearity of proper holomorphic maps between balls in the low codimension case
• Boundary behaviour of the complex Monge-Ampère equation
• Pluriharmonic boundary values
• Real hypersurfaces in complex manifolds
• Pseudo-hermitian structures on a real hypersurface
• On a linearity problem for proper holomorphic maps between balls in complex spaces of different dimensions.
• Holomorphic differential invariants for an ellipsoidal real hypersurface
• The sharp upper bounds for the first positive eigenvalue of the Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces
• The Webster scalar curvature and sharp upper and lower bounds for the first positive eigenvalue of the Kohn-Laplacian on real hypersurfaces
• Rigidity of CR-immersions into spheres
• Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants
• On a remarkable formula of Jerison and Lee in CR geometry
• A new characterization of the CR sphere and the sharp eigenvalue estimate for the Kohn Laplacian
• Differential geometry and analysis on CR manifolds
• Umbilical points on three dimensional strictly pseudoconvex CR manifolds. I: Manifolds with \(\mathrm{U}(1)\)-action
• Minimal immersions of Riemannian manifolds
• Every real ellipsoid in ℂ² admits CR umbilical points
• Psuedo-Einstein Structures on CR Manifolds
• The Nonimbeddability of Real Hypersurfaces in Spheres
• Embeddability for Three-Dimensional CR-Manifolds
• Calculus on Heisenberg Manifolds. (AM-119)
• On Pseudohermitian Immersions Between Strictly Pseudoconvex CR Manifolds
• Several Complex Variables and the Geometry of Real Hypersurfaces
• CR-analogue of the Siu-∂\overline{∂}-formula and applications to the rigidity problem for pseudo-Hermitian harmonic maps
• Riemannian geometry

This page was built for publication: Semi-isometric CR immersions of CR manifolds into Kähler manifolds and applications