FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 1, PAGES 39-45

Geometry of dual spaces of affine-metric connection

T. G. Alenina

Abstract

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In this work, we consider the dual geometry of a normalized space of affine connection $A$_n,n. In particular, we study the dual spaces of an affine-metric connection $Mp$_n,n, which are induced by a nondegenerate normalization of a space of affine-metric connection $M$_n,n.

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Last modified: March 11, 2011