1-type submanifolds on non-Euclidean complex space forms.
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Dimitrić, Ivko (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Miroslava Petrović-Torgašev, L. Verstraelen, Luc Vrancken (1996)
Publications de l'Institut Mathématique
Kim, Jeong-Sik, Choi, Jaedong (2003)
International Journal of Mathematics and Mathematical Sciences
Kim, Hyang Sook, Kim, Young-Mi (2004)
Balkan Journal of Geometry and its Applications (BJGA)
Kazuhiro Okumura (2020)
Czechoslovak Mathematical Journal
In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure induced from the ambient space. As a matter of course, many geometers have investigated real hypersurfaces in a nonflat complex space form from the viewpoint of almost contact metric geometry. On the other hand, it is known that the tensor field
Byung Hak Kim, In-Bae Kim, Sadahiro Maeda (2017)
Czechoslovak Mathematical Journal
In the class of real hypersurfaces isometrically immersed into a nonflat complex space form of constant holomorphic sectional curvature which is either a complex projective space or...
Jan Troják, Jiří Vanžura (1979)
Czechoslovak Mathematical Journal
Immervoll, Stefan (2004)
Beiträge zur Algebra und Geometrie
Katsumi Nomizu (1973)
Mathematische Annalen
Mayuko Kon (2008)
Czechoslovak Mathematical Journal
We give a characterization of totally -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form in terms of totally umbilical condition for the holomorphic distribution on real hypersurfaces. We prove that if the shape operator of a real hypersurface of a complex space form , , , satisfies for any , being a function, where is the holomorphic distribution on , then is a totally -umbilical real hypersurface or locally congruent to a ruled real hypersurface....
Patrick J. Ryan (1972)
Colloquium Mathematicae
Šućurović, Emilija (2000)
Publications de l'Institut Mathématique. Nouvelle Série
Šućurović, E. (2001)
Publications de l'Institut Mathématique. Nouvelle Série
Emilija Šućurović (2001)
Publications de l'Institut Mathématique
Šućurović, Emilija (1999)
Novi Sad Journal of Mathematics
Emilija Šućurović (2000)
Publications de l'Institut Mathématique
José L. Cabrerizo, Luis M. Fernández, Manuel Fernández (1991)
Annales Polonici Mathematici
A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.
Nobumitsu Nakauchi (1993)
Manuscripta mathematica
Szenthe, J. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Craveiro de Carvalho, F.J., Robertson, S.A. (1991)
Portugaliae mathematica
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