Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/25218
Title: On slant submanifolds of neutral Kaehler manifolds
Authors: Carriazo, Alfonso
Chen, Bang Yen
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-1440-7050
Arslan, Kadri
Murathan, Cengizhan
AAG-8775-2021
ABH-3658-2020
6603079141
6506718146
Keywords: Slant submanifold
Neutral Kaehler manifold
Neutral complex space form
Minimal surface
Lorentzian complex plane
Complex-space-forms
Minimal-surfaces
S-manifolds
Immersions
Mathematics
Issue Date: Apr-2010
Publisher: Mathematical Society of Republic of China
Citation: Arslan, K. vd. (2010). "On slant submanifolds of neutral Kaehler manifolds". Taiwanese Journal of Mathematics, 14(2), 561-584.
Abstract: An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite Kaehler manifold is called neutral Kaehler if its complex index is equal to the half of its complex dimension. In the first part of this article, we extend the notion of slant surfaces in Lorentzian Kaehler surfaces to slant submanifolds in neutral Kaehler manifolds; moreover, we characterize slant submanifolds with parallel canonical structures. By applying the results obtained in the first part we completely classify slant surfaces with parallel mean curvature vector and minimal slant surfaces in the Lorentzian complex plane in the second part of this article.
URI: https://doi.org/10.11650/twjm/1500405807
https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-14/issue-2/ON-SLANT-SUBMANIFOLDS-OF-NEUTRAL-KAEHLER-MANIFOLDS/10.11650/twjm/1500405807.full
http://hdl.handle.net/11452/25218
ISSN: 1027-5487
Appears in Collections:Scopus
Web of Science

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