An isometric immersion $f: M^{ n} \rightarrow \tilde M^{ m}$ 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 $c$.

Categories: math.DG

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