Semi-slant Riemannian map

Abstract

As a generalization of slant submersions [18], semi-slant submersions [15], and slant Riemannian maps [21], we define the notion of semi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We study the integrability of distributions, the geometry of fibers, the harmonicity of such maps, etc. We also find a condition for such maps to be totally geodesic and investigate some decomposition theorems. Moreover, we give examples.

Mathematics Subject Classification (2010):

• 53C15
• 53C43

Key words:

• Riemannian map
• semi-slant angle
• harmonic map
• totally geodesic