Semi-slant Riemannian maps into almost Hermitian manifolds

Czechoslovak Mathematical Journal

Bayram ahin³  Kwang-Soon Park⁴ 

[1] University, Faculty of Science and Art, Department of Mathematics, 44280 Malatya, Turkey;, nö27, 1 Department of Mathematical Sciences, Seoul National University, Building Gwanak-ro, Gwanak-gu, Seoul 151-747, Republic of Korea,;nü

关键词: Riemannian map;    semi-slant Riemannian map;    harmonic map;    totally geodesic map;   

DOI  :  

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

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.

【 授权许可】

Unknown