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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

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


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.


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.


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[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,


e-mail :

Franmary López

Departamento de Electricidad,

Universidad Politáecnica Territorial del oeste de Sucre Clodosbaldo Russian,

6101 Cumaná, Edo. Sucre,


e-mail :

Rodrigo Martínez

Departamento de Matemática,

Universidad de Oriente,

6101 Cumaná, Edo. Sucre,


e-mail :

Received : October 2013. Accepted : April 2015

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