Harmonic maps on contact metric manifolds

S. Ianus; A.M. Pastore

Annales mathématiques Blaise Pascal (1995)

  • Volume: 2, Issue: 2, page 43-53
  • ISSN: 1259-1734

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Ianus, S., and Pastore, A.M.. "Harmonic maps on contact metric manifolds." Annales mathématiques Blaise Pascal 2.2 (1995): 43-53. <http://eudml.org/doc/79139>.

@article{Ianus1995,
author = {Ianus, S., Pastore, A.M.},
journal = {Annales mathématiques Blaise Pascal},
keywords = {almost contact metric manifold; -holomorphic map; harmonic map; -harmonic map},
language = {eng},
number = {2},
pages = {43-53},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Harmonic maps on contact metric manifolds},
url = {http://eudml.org/doc/79139},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Ianus, S.
AU - Pastore, A.M.
TI - Harmonic maps on contact metric manifolds
JO - Annales mathématiques Blaise Pascal
PY - 1995
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 2
IS - 2
SP - 43
EP - 53
LA - eng
KW - almost contact metric manifold; -holomorphic map; harmonic map; -harmonic map
UR - http://eudml.org/doc/79139
ER -

References

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  1. [BL1 ] D.E. Blair, Geometry of manifolds with structural group U(n)×0(s). J. Differential Geometry, 4 (1970) 155-167 . Zbl0202.20903
  2. [BL2 ] D.E. Blair, Contact Manifolds in Riemannian Geometry, Lectures Notes in Math.509, Springer-Verlag, 1976. Zbl0319.53026
  3. [B-W ] W. Boothby - H. Wang, On contact manifolds, Ann.of Math.68 (1958) 721-734. Zbl0084.39204
  4. [DA ] M. Dajczer, Submanifolds and Isometric Immersion, Publish of Perish Inc.1990. Zbl0705.53003MR1075013
  5. [E - L1 ] J. Eells - L. Lemaire, Selected topics on harmonic maps. C.B.M.S. Regional Conf. Series50, American Math. Society, 1983. Zbl0515.58011
  6. [E - L2 ] J. Eells - L. Lemaire, Another report on harmonic maps, Bulletin London Math. Society20 (1988) 385 - 524. Zbl0669.58009MR956352
  7. [E-R ] J. Eells - A. Ratto, Harmonic maps and minimal immersion with symmetries, Princeton Univ. Press, 1993. Zbl0783.58003MR1242555
  8. [G-Y ] S. Goldberg - K. YanoGlobally framed f-manifolds, Illinois J. Math. 15(1971) 456 - 474. Zbl0215.23002MR278247
  9. [GR ] J. Gray, Some global properties of contact structures Zbl0092.39301
  10. [I-P ] S. Ianus - A.M. PastoreOn harmonic Maps of a metric f - manifold. Tensor N.S.54 (1994). Zbl0881.58015MR1474057
  11. [LB ] P. Libermann, Sur les automorphisms infinitesimaux des structures symplectiques et des structures de contact, Colloq. Geometrie Differentielle Globale. Louvain (1959) 37 - 59. Zbl0095.36803MR119153
  12. [LI ] A. Lichnerowicz, Applications harmoniques et varietes Kahleriennes. Symposia Mathematica3 (1980) 341 - 402. Zbl0193.50101MR262993
  13. [LU ] R. Lutz, Structures de contact en codimension quelconque, Geometrie Differentielle, Colloque Santiago de Compostela, Lecture Notes in Math.392, Springer - Verlag, 1972. Zbl0294.53030MR375367
  14. [MA ] J. MartinetFormes de contact sur les varieties de dimension 3Proc. Liverpool Singularities Symposium II, Springer-Verlag, (1971), 142163. Zbl0215.23003MR350771
  15. [M-R-S ] M. Meschiari, J. Rawnsley, S. Salamon, Geometry Seminar "Luigi Bianchi" II, LectureNotes Math.1164, Springer-Verlag, 1984. 
  16. [OG ] K. Ogiue, On fiberings of almost contact manifolds, Kodai Math. Sem. Rep.17 (1965) 53-62. Zbl0136.18101MR178428
  17. [ON ] I. Ohnita. On pluriharmonicity of stable harmonic maps. J.London Math. Soc. (2) 35 (1987) 563 - 568. Zbl0588.58019MR889377
  18. [OL ] Z. Olszak, On contact metric manifolds, Tohoku Math. J.31 (1979) 247 - 253. Zbl0397.53026MR538923
  19. [SA ] S. Sasaki, "Selected Papers", Tokyo, 1985. Zbl0578.53001MR834384
  20. [TA ] T. Takahashi, Sasakian φ - symmetric spaces. Tohoku Math. J.29(1977) 91 - 113. Zbl0343.53030MR440472
  21. [TN ] S. Tanno, Some transformation on manifolds with almost contact and contact metric structures, I,II Tohoku Math. J.15 (1963) 140-147; 322-331 Zbl0114.38004MR161277

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