Existence and uniqueness theorems for pointwise slant immersions in complex space forms
Filomat, Tome 35 (2021) no. 9, p. 3127
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An isometric immersion f : Mn→Mm from an n-dimensional Riemannian manifold Mn into an almost Hermitian manifold ˜Mm of complex dimensionmis called pointwise slant if its Wirtinger angles define a function defined on Mn. In this paper we establish the Existence and Uniqueness Theorems for pointwise slant immersions of Riemannian manifolds Mn into a complex space form ˜Mn(c) of constant holomorphic sectional curvature c, which extend the Existence and Uniqueness Theorems for slant immersions proved by B.-Y. Chen and L. Vrancken in 1997
Classification :
53C40, 53C42, 53B25
Keywords: Slant submanifold, pointwise-slant submanifold, Kaehler manifold, complex space form
Keywords: Slant submanifold, pointwise-slant submanifold, Kaehler manifold, complex space form
Azeb Alghanemi; Noura M Al-Houiti; Bang-Yen Chen; Siraj Uddin. Existence and uniqueness theorems for pointwise slant immersions in complex space forms. Filomat, Tome 35 (2021) no. 9, p. 3127 . doi: 10.2298/FIL2109127A
@article{10_2298_FIL2109127A,
author = {Azeb Alghanemi and Noura M Al-Houiti and Bang-Yen Chen and Siraj Uddin},
title = {Existence and uniqueness theorems for pointwise slant immersions in complex space forms},
journal = {Filomat},
pages = {3127 },
year = {2021},
volume = {35},
number = {9},
doi = {10.2298/FIL2109127A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2109127A/}
}
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%0 Journal Article %A Azeb Alghanemi %A Noura M Al-Houiti %A Bang-Yen Chen %A Siraj Uddin %T Existence and uniqueness theorems for pointwise slant immersions in complex space forms %J Filomat %D 2021 %P 3127 %V 35 %N 9 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2109127A/ %R 10.2298/FIL2109127A %G en %F 10_2298_FIL2109127A
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