<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g. Chern-Cartan complex nonlinear connection, Cartan tensors). By means of these, we establish the necessary and sufficient conditions under which a product complex Cartan space is Landsberg-Cartan or Berwald-Cartan or it has some other properties.</p></abstract>

In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g. Chern-Cartan complex nonlinear connection, Cartan tensors). By means of these, we establish the necessary and sufficient conditions under which a product complex Cartan space is Landsberg-Cartan or Berwald-Cartan or it has some other properties.

Geometry of product complex Cartan manifolds

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"Geometry of product complex Cartan manifolds"}

In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the...

Geometry of product complex Cartan manifolds

Pubblicato online: 04 apr 2017

Pagine: 25 - 36

Ricevuto: 02 mag 2014

Accettato: 28 giu 2014

DOI: https://doi.org/10.1515/auom-2015-0002

Parole chiave
complex Cartan metric, product manifold, Landsberg- and Berwald-Cartan metrics

© 2015 Nicoleta Aldea et al., published by De Gruyter Open

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

Geometry of product complex Cartan manifolds

Pubblicato online: 04 apr 2017

Pagine: 25 - 36

Ricevuto: 02 mag 2014

Accettato: 28 giu 2014

DOI: https://doi.org/10.1515/auom-2015-0002

Parole chiavecomplex Cartan metric, product manifold, Landsberg- and Berwald-Cartan metrics

© 2015 Nicoleta Aldea et al., published by De Gruyter Open

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

Parole chiave
complex Cartan metric, product manifold, Landsberg- and Berwald-Cartan metrics