Open AccessExistence and uniqueness theorems for pointwise slant immersions in complex space forms
Author(s) -
Azeb Alghanemi,
Noura M. Al-houiti,
BangYen Chen,
Siraj Uddin
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2109127a
Subject(s) - mathematics , pointwise , uniqueness , sectional curvature , holomorphic function , immersion (mathematics) , pure mathematics , riemannian manifold , mathematical analysis , manifold (fluid mechanics) , complex dimension , curvature , scalar curvature , geometry , mechanical engineering , engineering
An isometric immersion f : Mn ? ?Mm from an n-dimensional Riemannian manifold Mn into an almost Hermitian manifold ?Mm of complex dimension m is 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.