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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.34 no.3 Antofagasta Sept. 2015

http://dx.doi.org/10.4067/S0716-09172015000300002 

 

Holomorphically proyective Killing fields with vectorial fields associated in kahlerian manifolds

 

Richard Malavé Guzmán, Franmary López

U. Politecnica Territorial del oeste de Sucre C. R.

Rodrigo Martínez

Universidad de Oriente, Venezuela.


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.

Keywords: Holomorphically proyective, Killing fields, kaehlerian manifolds.

MSC 2010 : 53A20, 53B35,53C15.


REFERENCES

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

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

[3]    Malave Guzman R. Transformaciones holomorficamemte proyectivas equivalentes, Departamento e Matematicas de la Universidad de Oriente, (tesis de maestria), (2007).         [ Links ]

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

 

Richard Malave Guzmán

Departamento de Electricidad,

Universidad Politecnica Territorial del oeste de Sucre Clodosbaldo Russian,

6101 Cumaná, Edo. Sucre,

Venezuela

e-mail : rmalaveg@gmail.com

Franmary López

Departamento de Electricidad,

Universidad Politáecnica Territorial del oeste de Sucre Clodosbaldo Russian,

6101 Cumaná, Edo. Sucre,

Venezuela

e-mail : franmalopezv@hotmail.com

Rodrigo Martínez

Departamento de Matemática,

Universidad de Oriente,

6101 Cumaná, Edo. Sucre,

Venezuela

e-mail : yigo54@cantv.net

Received : October 2013. Accepted : April 2015

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