Generalized quaternionic structures on the total space of a complex Finsler space

Authors

  • Annamaria Szasz Transilvania University of Brasov, Romania

Keywords:

commutative quaternion structure, generalized Sasaki metric, almost hyper-Hermitian structures, almost hyper-K¨ahler structures, metric compatible connections

Abstract

In this note, our goal is to introduce a generalized quaternionic structure, on the total space of a complex Finsler space. Some important properties of these structures are emphasized. A special approach is devoted to the commutative almost quaternionic connections.

Author Biography

Annamaria Szasz, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics Iuliu Maniu 50, Brasov 500091

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Published

2012-07-19

Issue

Vol. 5(54) No. 1 (2012)

Section

MATHEMATICS