Tangent Bundles with Sasaki Metric and Almost Hypercomplex Pseudo-Hermitian Structure

Details Tangent Bundles with Sasaki Metric and Almost Hypercomplex Pseudo-Hermitian Structure Tangent Bundles with Sasaki Metric and Almost Hypercomplex Pseudo-Hermitian Structure

2008-04-17

arxiv.org/abs/0804.2809v1

Topics in Almost Hermitian Geometry and Related Fields. Proceedings in honor of Prof. K. Sekigawa' s 60th birthday, Eds. Y.

Mathematics

Differential Geometry

10 pages

Scientific paper

10.1142/9789812701701_0013

The tangent bundle as a $4n$-manifold is equipped with an almost hypercomplex
pseudo-Hermitian structure and it is characterized with respect to the relevant
classifications. A number of 8-dimensional examples of the considered type of
manifold are received from the known explicit examples in that manner.

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