Weyl, projective and conformal semi-symmetric complex hypersurfaces in semi-Kaehler space forms
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 39-61
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The purpose of this paper is to introduce the notions of Weyl semi-symmetric, projective semi-symmetric and conformal semi-symmetric curvature tensor defined on semi-Kaehler manifolds. Moreover, by using a new version of E. Cartan’s complex exterior derivative method we give a complete classification of complex hypersurfaces $M$ in semi-Kaehler space forms $M_{s+t}^{n+1}(c)$ with Weyl semi-symmetric, projective semi-symmetric or conformal semi-symmetric curvature tensor, respectively.
Keywords:
purpose paper introduce notions weyl semi symmetric projective semi symmetric conformal semi symmetric curvature tensor defined semi kaehler manifolds moreover using version cartan complex exterior derivative method complete classification complex hypersurfaces semi kaehler space forms weyl semi symmetric projective semi symmetric conformal semi symmetric curvature tensor respectively
Affiliations des auteurs :
Young Suk Choi 1 ; Young Jin Suh 2
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author = {Young Suk Choi and Young Jin Suh},
title = {Weyl, projective and conformal semi-symmetric complex hypersurfaces in {semi-Kaehler} space forms},
journal = {Colloquium Mathematicum},
pages = {39--61},
publisher = {mathdoc},
volume = {150},
number = {1},
year = {2017},
doi = {10.4064/cm6847s-3-2017},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6847s-3-2017/}
}
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Young Suk Choi; Young Jin Suh. Weyl, projective and conformal semi-symmetric complex hypersurfaces in semi-Kaehler space forms. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 39-61. doi: 10.4064/cm6847s-3-2017
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