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Cubo (Temuco)

versão On-line ISSN 0719-0646

Cubo vol.14 no.1 Temuco  2012 

CUBO A Mathematical Journal Vol.14, N° 01, (81-91). March 2012


Special Recurrent Transformation in an NPR-Finsler Space

Anjali Goswami

Department of Mathematics Jagannath Gupta Institute of Engineering and Technology Sitapura, Jaipur, India email:


In this paper, an infinitesimal transformation , where the vector vi is recurrent has been considered in an NPR- Finsler space. Such transformation is being called special recurrent transformation if the recurrence vector of the NPR- Finsler space is Lie invariant. Besides different properties of such transformation, the conditions for such transformation to be curvature collineation and an afine motion have been obtained.

Keywords and Phrases: NPR-Finsler space, recurrent vector fields, special recurrent transformation, curvature collineation, affne motion.


En este artículo se considera una transformación infinitesimal , donde el vector vi es recurrente, en un espacio NPR- Finsler. Tal transformación se dice transformación recurrente especial si el vector recurrente del espacio NPR- Finsler es Lie invariante. Además se han obtenido diferentes propiedades de dicha transformación y las condiciones para que ésta sea una colineación de curvatura y una moción afín.

2010 AMS Mathematics Subject Classification: 53B40.



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Received: September 2010. Revised: May 2011.