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Existence and uniqueness theorems for pointwise slant immersions in complex space forms
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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 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.
Title: Existence and uniqueness theorems for pointwise slant immersions in complex space forms
Description:
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.
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