Geodesic
Semi-slant Riemannian maps into almost Hermitian manifolds
Czechoslovak Mathematical Journal, Tome 64 (2014) no. 4, pp. 1045-1061 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1007/s10587-014-0152-3
Classification : 53C15, 53C42, 53C43
Keywords: Riemannian map; semi-slant Riemannian map; harmonic map; totally geodesic map 
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Park, Kwang-Soon; Şahin, Bayram. Semi-slant Riemannian maps into almost Hermitian manifolds. Czechoslovak Mathematical Journal, Tome 64 (2014) no. 4, pp. 1045-1061. doi: 10.1007/s10587-014-0152-3

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