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In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(φ, ξ, η, g)$ 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 $h$ $...$

A characterization of a certain real hypersurface of type $(A_{2})$ in a complex projective space

Byung Hak Kim, In-Bae Kim, Sadahiro Maeda (2017)

Czechoslovak Mathematical Journal

In the class of real hypersurfaces $M^{2 n - 1}$ isometrically immersed into a nonflat complex space form ${\tilde{M}}_{n} (c)$ of constant holomorphic sectional curvature $c$ $(\neq 0)$ which is either a complex projective space $ℂ P^{n} (c)$ or...

A characterization of hyperspheres in the quaternionic space

Jan Troják, Jiří Vanžura (1979)

Czechoslovak Mathematical Journal

A characterization of isoparametric hypersurfaces of Clifford type.

Immervoll, Stefan (2004)

Beiträge zur Algebra und Geometrie

A Characterization of n-Spheres in Space Forms and Its Complex Analogue.

Katsumi Nomizu (1973)

Mathematische Annalen

A characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form

Mayuko Kon (2008)

Czechoslovak Mathematical Journal

We give a characterization of totally $η$ -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 $A$ of a real hypersurface $M$ of a complex space form $M^{n} (c)$ , $c \neq 0$ , $n \geq 3$ , satisfies $g (A X, Y) = a g (X, Y)$ for any $X, Y \in T_{0} (x)$ , $a$ being a function, where $T_{0}$ is the holomorphic distribution on $M$ , then $M$ is a totally $η$ -umbilical real hypersurface or locally congruent to a ruled real hypersurface....

A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.

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1-type submanifolds on non-Euclidean complex space forms.

3-type Curves on Hyperboloids of Revolution and Cones of Revolution

A basic inequality for submanifolds in a cosymplectic space form.

A certain complete space-like hypersurface in Lorentz manifolds.

A certain tensor on real hypersurfaces in a nonflat complex space form

A characterization of a certain real hypersurface of type $(A_{2})$ in a complex projective space

A characterization of hyperspheres in the quaternionic space

A characterization of isoparametric hypersurfaces of Clifford type.

A Characterization of n-Spheres in Space Forms and Its Complex Analogue.

A characterization of totally $η$ -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form

A class of complex hypersurfaces

A classfication of 3-type curves in Minkowski 3-space $E_{1}^{3}$ . II.

A classification of 2-type curves in the Minkowski space $𝔼_{1}^{n}$ .

A Classification of 2-type Curves in the Minkowski Space E1n

A classification of 3-type curves in Minkowski 3-space $E_{1}^{3}$ . I.

A classification of 3-type curves in Minkowski 3-space e_1^3, II

A classification of certain submanifolds of an S-manifold

A concentration Phenomenon in Mean curvature Flow.

A construction of transverse submanifolds.

A correction to "A note on equichordal graphs" (Port. Math., 45(4) (1988), 363-368)

Currently displaying 1 – 20 of 608