Semi-slant Riemannian maps into almost Hermitian manifolds
Articles > Article · 2014
Authors: Kwang-Soon Park, Bayram ŞAHİN
CZECHOSLOVAK MATHEMATICAL JOURNAL, Journal Indexed in SCI Expanded, International, 2014, vol 64, pp 1045-1061
DOI: 10.1007/s10587-014-0152-3
Summary
We introduce semi-slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of semi-slant immersions, invariant Riemannian maps, anti-invariant Riemannian maps and slant Riemannian maps. We obtain characterizations, investigate the harmonicity of such maps and find necessary and sufficient conditions for semi-slant Riemannian maps to be totally geodesic. Then we relate the notion of semi-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 and give many examples of such maps.