Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections

Type: Article

Publication Date: 2009-07-03

Citations: 6

DOI: https://doi.org/10.1016/j.geomphys.2009.06.014

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Locations

  • Journal of Geometry and Physics - View

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Citing (24)

Action Title Year Authors
+ PDF Chat Conformal Geometry of Surfaces in S4 and Quaternions 2002 Francis E. Burstall
Dirk Ferus
Katrin Leschke
Franz Pedit
Ulrich Pinkall
+ PDF Chat Conformal and minimal immersions of compact surfaces into the 4-sphere 1982 Robert L. Bryant
+ On superminimal surfaces 1997 Thomas Friedrich
+ PDF Chat Riemannian Geometry of Contact and Symplectic Manifolds 2010 David E. Blair
+ PDF Chat Second variation of superminimal surfaces into self-dual Einstein four-manifolds 1997 Sebastián Montiel
Francisco Urbano
+ Twistor holomorphic Lagrangian surfaces in the complex projective and hyperbolic planes 1995 Ildefonso Castro
Francisco Urbano
+ PDF Chat Harmonic Sections Normal to Submanifolds and Their Stability 2004 Kazuyuki Hasegawa
+ Stability of harmonic maps of Kähler manifolds 1989 D. Burns
Francis E. Burstall
Paolo de Bartolomeis
John Rawnsley
+ PDF Chat Affine differential geometry of the unit normal vector fields of hypersurfaces in the real space forms 2006 Kazuyuki Hasegawa
+ The Geometry of t‐Holomorphic Surfaces in S<sup>4</sup> 1988 Thomas Friedrich
+ PDF Chat Twistors, 4-symmetric spaces and integrable systems 2008 Francis E. Burstall
Idrisse Khemar
+ On surfaces whose twistor lifts are harmonic sections 2007 Kazuyuki Hasegawa
+ On surfaces in four-spaces 1984 Thomas Friedrich
+ Self-duality in four-dimensional Riemannian geometry 1978 Michael Atiyah
Nigel Hitchin
I. M. Singer
+ On the Set of Umbilical Points of a Twistor‐Holomorphic Immersion Into <i>R</i><sup>4</sup> 1989 Heinz Marbes
+ Second variation of volume and energy of vector fields. Stability of Hopf vector fields 2001 Olga Gil-Medrano
Elisa Llinares-Fuster
+ The energy of Hopf vector fields 2000 Carol Wood
+ PDF Chat The second variation formula for harmonic mappings 1975 R. Theodore Smith
+ Harmonic sections of normal bundles for submanifolds and their stability 2005 Kazuyuki Hasegawa
+ Compact four-dimensional self-dual EINSTEIN manifolds with positive scalar curvature 1982 Th. Friedrich
Herbert Kurke
+ Minimal and Harmonic Unit Vector Fields in and Its Dual Space 2000 Kazumi Tsukada
Lieven Vanhecke
+ Second variation and stabilities of minimal lagrangian submanifolds in K�hler manifolds 1990 Yong‐Geun Oh
+ PDF Chat The energy of unit vector fields on the 3-sphere 2001 Atsushi Higuchi
Bernard S. Kay
Carol Wood
+ Self-dual Einstein metrics 1986 Al Vitter