Geometry of product complex Cartan manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Aldea Nicoleta¹  Munteanu Gheorghe¹ 

[1] Department of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu 50, 500091 Brasov, Romania.;

关键词: complex cartan metric;    product manifold;    landsberg- and berwald-cartan metrics;    primary 53c60;    secondary 53b40;   

DOI  :  10.1515/auom-2015-0002

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown