Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold

The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.

Bibliographic Details
Main Author: Vittorio Mangione
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120320421X
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spelling doaj-ee767c5850074850bcd6ee8193f921322020-11-25T00:02:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003181137114410.1155/S016117120320421XSome submersions of CR-hypersurfaces of Kaehler-Einstein manifoldVittorio Mangione0Dipartimento di Matematica, Universitá Degli Studi di Parma, Via Massimo D'Azeglio, 85/A, Parma 43100, ItalyThe Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.http://dx.doi.org/10.1155/S016117120320421X
collection DOAJ
language English
format Article
sources DOAJ
author Vittorio Mangione
spellingShingle Vittorio Mangione
Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
International Journal of Mathematics and Mathematical Sciences
author_facet Vittorio Mangione
author_sort Vittorio Mangione
title Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
title_short Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
title_full Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
title_fullStr Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
title_full_unstemmed Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold
title_sort some submersions of cr-hypersurfaces of kaehler-einstein manifold
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
url http://dx.doi.org/10.1155/S016117120320421X
work_keys_str_mv AT vittoriomangione somesubmersionsofcrhypersurfacesofkaehlereinsteinmanifold
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