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Local Orthonormal Basis of the Fibres of Quasi-Hemi-Slant Riemannian Submersion

open access: diamond, 2023
Silas Longwap   +3 more
openalex   +2 more sources

?-flat manifolds and Riemannian submersions

open access: yesManuscripta Mathematica, 1989
In this paper, we show that a certain rigidity condition (∑-flatness) for open nonnegatively curved manifoldsM is preserved by Riemannian submersions. The result can be applied to quotients ofM by groups of isometries. ∑-flat metrics are also used to derive a splitting theorem for distance tubes of maximal volume growth.
Strake, M., Walschap, G.
openaire   +1 more source

Para-contact product semi-Riemannian submersions

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2017
We introduce the concept of para-contact product semi-Riemannian submersions from an almost para-contact metric manifold onto a semi-Riemannian product manifold. We provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost para-contact structure of the total manifold ...
openaire   +3 more sources

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