Open AccessStructure in space of hyperplane element with special metrics
Author(s) -
Edmundas Mazėtis
Publication year - 2010
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2010.11
Subject(s) - hyperplane , mathematics , pure mathematics , space (punctuation) , metric (unit) , metric tensor , metric space , affine space , injective metric space , affine transformation , mathematical analysis , geometry , computer science , operating system , operations management , economics , geodesic
The present work analyses intrinsic antiquaternionic structures of metric hyperplane elements. Spaces of metric hyperplane elements is Cartan space generalisation. The given spaces are cotangent bundle, where metrics is described by way of symmetric tensor. The present work analyses situation when metric tensor has specific form, as it done by work [5]. It has been proved that in such metric space treeparameter intrinsic antiquaternionic structure families exist, associated affine connections with structures have been found.