|Title:||On almost hyperHermitian structures on Riemannian manifolds and tangent bundles|
|Authors:||Ermolitski, A. A.|
Bogdanovich, S. A.
almost hyperHermitian structures
|Publisher:||Central European Science Jornals|
|Citation:||Ermolitski, A. A. On almost hyperHermitian structures on Riemannian manifolds and tangent bundles / Alexander A. Ermolitski, Serge A. Bogdanovich // Central European Science Jornal of Mathematics . – 2004. – № 2. - P. 615 – 623.|
|Abstract:||Some results concerning almost hyperHermitian structures are considered, using the notions of the canonical connection and the second fundamental tensor ﬁeld h of a structure on a Riemannian manifold which were introduced by the second author. With the help of any metric connection nocebnacerutcurt s na itimreHr epyhtsomla∇ on an almost Hermitian manifold M anstructed in the deﬁned way on the tangent bundle TM. A similar construction was considered in , . This structure includes two basic anticommutative almost Hermitian structures for which the second fundamental tensor ﬁelds h1 and h2 are computed. It allows us to consider various classes of almost hyperHermitian structures on TM. In particular, there exists an inﬁnite-dimensional set of almost hyperHermitian structures on TTM where M is any Riemannian manifold.|
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