<abstract xmlns="http://www.w3.org/1999/xhtml">The aim of this paper is to describe the infinitesimal deformation (<italic>M, V</italic>) of a complex Finsler space family {(<italic>M, Lt</italic>)}t∈ℝ and to study some of its geometrical objects (metric tensor, non-linear connection, etc). In this circumstances the induced non-linear connection on (<italic>M, V</italic>) is defined. Moreover we have elaborate the inverse problem, the problem of the first order deformation of the metric. A special part is devoted to the study of particular cases of the perturbed metric.</abstract>

The aim of this paper is to describe the infinitesimal deformation (M, V) of a complex Finsler space family {(M, Lt)}t∈ℝ and to study some of its geometrical objects (metric tensor, non-linear connection, etc). In this circumstances the induced non-linear connection on (M, V) is defined. Moreover we have elaborate the inverse problem, the problem of the first order deformation of the metric. A special part is devoted to the study of particular cases of the perturbed metric.

Deformation of complex Finsler metrics

Faculty of Mathematics and Computer Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Deformation of complex Finsler metrics"}

The aim of this paper is to describe the infinitesimal deformation (M, V) of a complex Finsler space family {(M, Lt)}t∈ℝ and to study some of its geometrical...

Deformation of complex Finsler metrics

Publié en ligne: 31 déc. 2018

Pages: 229 - 244

Reçu: 02 oct. 2017

Accepté: 31 oct. 2017

DOI: https://doi.org/10.2478/auom-2018-0043

Mots clés
complex Finsler space, infinitesimal deformation of a metric, induced nonlinear connection, deformation of a metric

© 2018 Annamária Szász-Friedl, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Deformation of complex Finsler metrics

Publié en ligne: 31 déc. 2018

Pages: 229 - 244

Reçu: 02 oct. 2017

Accepté: 31 oct. 2017

DOI: https://doi.org/10.2478/auom-2018-0043

Mots cléscomplex Finsler space, infinitesimal deformation of a metric, induced nonlinear connection, deformation of a metric

© 2018 Annamária Szász-Friedl, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
complex Finsler space, infinitesimal deformation of a metric, induced nonlinear connection, deformation of a metric