Pointwise slant submanifolds in almost Hermitian manifolds

GARAY, Oscar J.; Chen, Bang-Yen

Pointwise slant submanifolds in almost Hermitian manifolds

Bang-Yen CHEN, (Department, of Mathematics, Michigan State Univercity East Lansing, Michigan 48824, USA)

Oscar J. GARAY (Department of mathematics, Facultad de Ciencia y Tecnologia, Universidad del Pais Vasco, Apartado 644, Bilbao 48080. SPAIN)

Turkish Journal of Mathematics

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Yıl: 2012 Cilt: 36 Sayı: 4 Sayfa Aralığı: 630 - 640 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Pointwise slant submanifolds in almost Hermitian manifolds

Öz:

An interesting class of submanifolds of almost Hermitian manifolds $tilde{M},tilde{g}J$ is the class of slant submanifolds. Slant submanifolds were introduced by the first author in [6] as submanifolds M of $tilde{M},tilde{g}J$ such that, for any nonzero vector X ∈ $T_p$M, p ∈ M, the angle θ(X) between JX and the tangent space $T_p$M is independent of the choice of p ∈ M and X ∈ $T_p$M. The first results on slant submanifolds were summarized in the book [7]. Since then slant submanifolds have been studied by many geometers. Many nice results on slant submanifolds have been obtained during the last two decades. The main purpose of this paper is to study pointwise slant submanifolds in almost Hermitian manifolds which extends slant submanifolds in a very natural way. Several basic results in this respect are proved in this paper.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Chen B, GARAY O (2012). Pointwise slant submanifolds in almost Hermitian manifolds. , 630 - 640.
Chicago	Chen Bang-Yen,GARAY Oscar J. Pointwise slant submanifolds in almost Hermitian manifolds. (2012): 630 - 640.
MLA	Chen Bang-Yen,GARAY Oscar J. Pointwise slant submanifolds in almost Hermitian manifolds. , 2012, ss.630 - 640.
AMA	Chen B,GARAY O Pointwise slant submanifolds in almost Hermitian manifolds. . 2012; 630 - 640.
Vancouver	Chen B,GARAY O Pointwise slant submanifolds in almost Hermitian manifolds. . 2012; 630 - 640.
IEEE	Chen B,GARAY O "Pointwise slant submanifolds in almost Hermitian manifolds." , ss.630 - 640, 2012.
ISNAD	Chen, Bang-Yen - GARAY, Oscar J.. "Pointwise slant submanifolds in almost Hermitian manifolds". (2012), 630-640.

APA	Chen B, GARAY O (2012). Pointwise slant submanifolds in almost Hermitian manifolds. Turkish Journal of Mathematics, 36(4), 630 - 640.
Chicago	Chen Bang-Yen,GARAY Oscar J. Pointwise slant submanifolds in almost Hermitian manifolds. Turkish Journal of Mathematics 36, no.4 (2012): 630 - 640.
MLA	Chen Bang-Yen,GARAY Oscar J. Pointwise slant submanifolds in almost Hermitian manifolds. Turkish Journal of Mathematics, vol.36, no.4, 2012, ss.630 - 640.
AMA	Chen B,GARAY O Pointwise slant submanifolds in almost Hermitian manifolds. Turkish Journal of Mathematics. 2012; 36(4): 630 - 640.
Vancouver	Chen B,GARAY O Pointwise slant submanifolds in almost Hermitian manifolds. Turkish Journal of Mathematics. 2012; 36(4): 630 - 640.
IEEE	Chen B,GARAY O "Pointwise slant submanifolds in almost Hermitian manifolds." Turkish Journal of Mathematics, 36, ss.630 - 640, 2012.
ISNAD	Chen, Bang-Yen - GARAY, Oscar J.. "Pointwise slant submanifolds in almost Hermitian manifolds". Turkish Journal of Mathematics 36/4 (2012), 630-640.