Existence and uniqueness theorems for pointwise slant immersions in complex space forms

Abstract

An isometric immersion $f:M^n\to {\tilde{M}}^m$ from an $n$-dimensional Riemannian manifold $M^n$ into an almost Hermitian manifold ${\tilde{M}}^m$ of complex dimension $m$ is called pointwise slant if its Wirtinger angles define a function defined on $M$. In this paper we establish the existence and uniqueness theorems for pointwise slant immersions of Riemannian manifolds $M^n$ into a complex space form ${\tilde{M}}^n(c)$ of constant holomorphic sectional curvature $c$.

14 pages