Holomorphically proyective Killing fields with vectorial fields associated in kahlerian manifolds

Authors

  • Richard Malavé Guzmán Universidad Politecnica Territorial del oeste de Sucre Clodosbaldo Russian.
  • Franmary López Universidad Politáecnica Territorial del oeste de Sucre Clodosbaldo Russian.
  • Rodrigo Martínez Universidad de Oriente.

DOI:

https://doi.org/10.4067/S0716-09172015000300002

Keywords:

Holomorphically proyective, Killing fields, Kaehlerian manifolds.

Abstract

Taking into account the harmonic and scalar curvatures in the study of Killing transformations between spacial complex (Einstenian, Peterson-Codazzi, Recurrent) and kaehlerian M spaces with almost complex J structure, we prove that there exists an holomorphically proyective transformation between M spaces and complex spaces.

Author Biographies

Richard Malavé Guzmán, Universidad Politecnica Territorial del oeste de Sucre Clodosbaldo Russian.

Departamento de Electricidad.

Franmary López, Universidad Politáecnica Territorial del oeste de Sucre Clodosbaldo Russian.

Departamento de Electricidad.

Rodrigo Martínez, Universidad de Oriente.

Departamento de Matemática.

References

[1] H. Izumi. A remark on infinitesimal holomorphically proyective transformations, Mat. Japonica, 39, pp. 47-60, (1994).

[2] H. Izumi, Y. Kazanari. On infinitesimal holomorphically proyective transformations in compact Kaehlerian manifolds, Hokkaido Math.J., 8, pp. 65-79, (1970).

[3] Malavé Guzmán R. Transformaciones holomorficamemte proyectivas equivalentes, Departamento e Matemáticas de la Universidad de Oriente, (tesis de maestria), (2007).

[4] R. Martínez, R. Ramírez. Lyra spaces. Their application to mechanics, Jadronic, J, 12, pp. 123-236, (1992).

How to Cite

[1]
R. Malavé Guzmán, F. López, and R. Martínez, “Holomorphically proyective Killing fields with vectorial fields associated in kahlerian manifolds”, Proyecciones (Antofagasta, On line), vol. 34, no. 3, pp. 219-228, 1.

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Artículos