منابع مشابه
Infinitesimal characterization of almost Hermitian homogeneous spaces
In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer kH , the covariant derivatives of the curvature tensor up to order kH + 2 and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to...
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متن کاملAlmost Hermitian structures on tangent bundles
In this article, we consider the almost Hermitian structure on TM induced by a pair of a metric and an affine connection on M . We find the conditions under which TM admits almost Kähler structures, Kähler structures and Einstein metrics, respectively. Moreover, we give two examples of Kähler-Einstein structures on TM . 2000 Mathematics Subject Classification: 53C55, 53C15, 53C25.
متن کاملAlmost Hermitian Structures and Quaternionic Geometries
Gray & Hervella gave a classification of almost Hermitian structures (g, I) into 16 classes. We systematically study the interaction between these classes when one has an almost hyper-Hermitian structure (g, I, J,K). In general dimension we find at most 167 different almost hyper-Hermitian structures. In particular, we obtain a number of relations that give hyperKäher or locally conformal hyper...
متن کاملalmost power-hermitian rings
in this paper we define a new type of rings ”almost powerhermitian rings” (a generalization of almost hermitian rings) and establish several sufficient conditions over a ring r such that, every regular matrix admits a diagonal power-reduction.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1988
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500006775