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Bi-Slant Submanifolds of Para Hermitian Manifolds

1
Departamento de Economía, Métodos Cuantitativos e Historia Económica, Área de Estadística e Investigación Operativa, Universidad Pablo de Olavide, Ctra. de Utrera km. 1, 41013 Sevilla, Spain
2
Departamento de Geometría y Topología, Universidad de Sevilla, c/Tarfia s/n, 41012 Sevilla, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(7), 618; https://doi.org/10.3390/math7070618
Received: 26 June 2019 / Revised: 8 July 2019 / Accepted: 9 July 2019 / Published: 11 July 2019
(This article belongs to the Section Mathematics and Computers Science)
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PDF [282 KB, uploaded 16 July 2019]

Abstract

In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples. View Full-Text
Keywords: semi-Riemannian manifold; para Hermitian manifold; para Kaehler manifold; para-complex; totally real; CR; slant; bi-slant; semi-slant; hemi-slant; anti-slant submanifolds semi-Riemannian manifold; para Hermitian manifold; para Kaehler manifold; para-complex; totally real; CR; slant; bi-slant; semi-slant; hemi-slant; anti-slant submanifolds
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Alegre, P.; Carriazo, A. Bi-Slant Submanifolds of Para Hermitian Manifolds. Mathematics 2019, 7, 618.

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