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Almost cosymplectic manifolds admitting harmonic characteristic vector fields

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Abstract

The present paper treats almost cosymplectic manifolds whose characteristic vector fields are harmonic vector fields. We exhibit some examples of such manifolds.

참고문헌 (15)

  1. Blair, D. E., "Riemannian geometry of contact and symplectic manifolds", Progress in Math., 203 (2002), BirkhÄause, Boston
  2. Chinea, D., "Coe®ective cohomology on almost cosymplectic manifolds", Bull. Sci. Math., 119, pp.3~20 (1995)
  3. Cordero, L. A., "Examples of compact almost contact manifolds admitting neither Sasakian nor cosymplectic structures", Atti Sem. Mat. Fis. Univ. Modena, 34, pp.43~54 (1985)
  4. Dacho, P., "On almost cosymplectic manifolds with the structure vector ¯eld » belonging to the k-nullity distribution", Balkan J. Geom. Its Appl., 5, pp.47~60 (2000)
  5. Dombrowski, P., "On the geometry of the tangent bundles", J. Reine Angew. Math., 210, pp.73~88 (1962)
  6. Dacho, P., "On conformally °at almost cosymplectic manifolds with KÄahlerian leaves", Rend. Sem. Mat. Univ. Pol. Torino, 56, pp.89~103 (1998)
  7. Gil-Medrano, O., "Relationship between volume and energy of vector ¯elds", Di®. Geom. Appl., 15, pp.137~152 (2001)
  8. Han, S. D., "Unit vector ¯elds on spheres which are harmonic maps", Math. Z., 227, pp.83~92 (1998)
  9. Olszak, Z., "Almost cosymplectic manifolds with KÄahlerian leaves", Tensor, 46, pp.117~124 (1987)
  10. Pak, H. K., "Criticality of characteristic vector ¯elds on almost cosymplectic manifolds, preprint"
  11. Pak, H. K., "Canonical foliations of certain classes of almost contact metric struc- tures", Acta Math. Sinica, 21, pp.841~846 (2005)
  12. Perrone, D., "Contact metric manifolds whose characteristic vector ¯eld is a harmonic vector ¯eld", Di®. Geom. Appl., 20, pp.367~378 (2004)
  13. Rukimbira, P., "Criticality of K-contact vector ¯elds", J. Geom. Phys., 40, pp.209~214 (2002)
  14. Wiegmink, G., "Total bending of vector ¯elds on Riemannian manifolds", Math. Ann., 303, pp.325~344 (1995)
  15. Wood, C. M., "On the energy of unit vector ¯elds", Geom. Dedicata, 64, pp.319~330 (1997)

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