Holomorphically proyective Killing fields with vectorial fields associated in kahlerian manifolds
DOI:
https://doi.org/10.4067/S0716-09172015000300002Keywords:
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.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).
[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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