Pseudoharmonic maps and vector fields on CR manifolds

Sorin Dragomir, Yoshinobu Kamishima

Type: Article

Publication Date: 2010-01-01

Citations: 6

DOI: https://doi.org/10.2969/jmsj/06210269

Abstract

Building on the work by J. Jost and C.-J. Xu [32], and E. Barletta et al. [3], we study smooth pseudoharmonic maps from a compact strictly pseudoconvex CR manifold and their generalizations e.g. pseudoharmonic unit tangent vector fields.

Locations

Journal of the Mathematical Society of Japan - View - PDF
INFM-OAR (INFN Catania) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Pseudoharmonic maps from nondegenerate CR manifolds to Riemannian manifolds	2001	Elisabetta Barletta Sorin Dragomir Hajime Urakawa
+	Subelliptic harmonic maps, morphisms, and vector fields	2008	Sorin Dragomir
+	On harmonic and pseudoharmonic maps from strictly pseudoconvex CR manifolds	2015	Chong Tian Yuxin Dong Yibin Ren Guilin Yang
+ PDF Chat	CR-HARMONIC MAPS	2019	Gautier Dietrich
+	Subelliptic biharmonic maps	2011	Sorin Dragomir Stefano Montaldo
+	Subelliptic biharmonic maps	2011	Sorin Dragomir Stefano Montaldo
+	Biharmonic vector fields on pseudo-Riemannian manifolds	2018	Michael Markellos Hajime Urakawa
+	Yang-Mills connections over compact strongly pseudoconvex CR manifolds	1994	Hajime Urakawa
+	On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields	2006	Sorin Dragomir Domenico Perrone
+ PDF Chat	Subelliptic Biharmonic Maps	2012	Sorin Dragomir Stefano Montaldo
+	On Pseudohermitian Immersions Between Strictly Pseudoconvex CR Manifolds	1995	Sorin Dragomir
+	Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces	2011	Andrea Altomani Marie-Amélie Lawn
+	Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces	2011	Andrea Altomani Marie-Amélie Lawn
+	Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces	2013	Andrea Altomani Marie-Amélie Lawn
+	On the biharmonicity of vector fields and unit vector fields	2021	Mohamed Tahar Kadaoui Abbassi Souhail Doua
+	Differential Geometry and Analysis on CR Manifolds	2006	Sorin Dragomir Giuseppe Tomassini
+ PDF Chat	Harmonic maps and strictly pseudoconvex CR manifolds	2002	Robert Petit
+ PDF Chat	On the Biharmonicity of Vector Fields and Unit Vector Fields	2022	Mohamed Tahar Kadaoui Abbassi Souhail Doua
+ PDF Chat	Harmonic Maps and Bi-Harmonic Maps on CR-Manifolds and Foliated Riemannian Manifolds	2016	Shinji Ohno Takashi Sakai Hajime Urakawa
+	Quasiconformal mappings on CR manifolds	1990	Adam Korányi Hans Martin Reimann

Works That Cite This (6)

Action	Title	Year	Authors
+	CR-analogue of the Siu-∂\overline{∂}-formula and applications to the rigidity problem for pseudo-Hermitian harmonic maps	2015	Song-Ying Li Duong Ngoc Son
+ PDF Chat	Subelliptic Biharmonic Maps	2012	Sorin Dragomir Stefano Montaldo
+	References	2012
+	Harmonic Morphisms from Fefferman Spaces	2024	Sorin Dragomir Francesco Esposito E. Loubeau
+	ON HARMONIC AND PSEUDOHARMONIC MAPS FROM PSEUDO-HERMITIAN MANIFOLDS	2017	Chong Tian Yuxin Dong Yibin Ren Guilin Yang
+ PDF Chat	Characteristic Jacobi Operator on Almost Kenmotsu $3$-manifolds	2023	Jun‐ichi Inoguchi

Works Cited by This (49)

Action	Title	Year	Authors
+ PDF Chat	Boundary behavior of the complex Monge-Ampère equation	1982	J. Jack Lee Richard Melrose
+	None	1997	Carol Wood
+	Equazioni ellittiche del secondo ordine	2004	Simona Fornaro Stefania Maniglia Giorgio Metafune
+ PDF Chat	Pseudo-Hermitian structures on a real hypersurface	1978	S. M. Webster
+ PDF Chat	Harmonic maps to spheres	1985	Bruce Solomon
+ PDF Chat	Contact Manifolds in Riemannian Geometry	1976	David E. Blair
+	Geometry of submanifolds and its applications	1981	Bang‐Yen Chen
+	A differential geometric study on strongly pseudo-convex manifolds	1975	Noboru Tanaka
+	Geometry of the Laplace Operator	1980	Robert Osserman A. J. Weinstein
+ PDF Chat	Subelliptic harmonic maps	1998	Jürgen Jost Chao-Jiang Xu