2012/06/15 by Bayram Şahin, Sahin, Bayram · 1 citation
Mathematics · #53B20 #53C15 #53C43 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1206.3393
openalex publication_date 2012/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of slant immersions, invariant Riemannian maps and anti-invariant Riemannian maps. We give examples, obtain characterizations and investigate the harmonicity of such maps. We also obtain necessary and sufficient conditions for slant Riemannian maps to be totally geodesic. Moreover we relate the notion of slant Riemannian maps to the notion of pseudo horizontally weakly conformal maps which are useful for proving various complex-analytic properties of stable harmonic maps from complex projective space.