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An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.

Ideal slant submanifolds in complex space forms.

Mihai, Ion (2005)

Acta Universitatis Apulensis. Mathematics - Informatics

Immersed spheres in symplectic 4-manifolds

Dusa McDuff (1992)

Annales de l'institut Fourier

We discuss conditions under which a symplectic 4-manifold has a compatible Kähler structure. The theory of $J$ -holomorphic embedded spheres is extended to the immersed case. As a consequence, it is shown that a symplectic 4-manifold which has two different minimal reductions must be the blow-up of a rational or ruled surface.

Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele.

Dirk Ferus (1974)

Manuscripta mathematica

Immersions with a parallel normal field.

Carter, Sheila, Kaya, Yusuf (2000)

Beiträge zur Algebra und Geometrie

Immersions with Parallel Second Fundamental Form.

Dirk Ferus (1974)

Mathematische Zeitschrift

Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.

Chen, Bang-yen, Jiang, Sheng (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds.

Yoon, Dae Won (2005)

International Journal of Mathematics and Mathematical Sciences

Infinitesimal affine deformations of submanifolds of a Riemannian manifold

Stefka Trifonova Hineva (1982)

Archivum Mathematicum

Infinitesimal isometric variation of semi-Riemannian submanifolds.

Onat, Leyla (2001)

Applied Mathematics E-Notes [electronic only]

Infinitesimal rigidity of Euclidean submanifolds

M. Dajczer, L. L. Rodriguez (1990)

Annales de l'institut Fourier

A submanifold $M^{n}$ of the Euclidean space $R^{n}$ is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.

Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.

Gerhard Ströhmer (1980)

Journal für die reine und angewandte Mathematik

Integrable equations and their evolutions based on intrinsic geometry of Riemann spaces.

Bracken, Paul (2009)

International Journal of Mathematics and Mathematical Sciences

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_{1}^{n + 1} (- 1)$

Guoxin Wei, Qiuli Liu, Young Jin Suh (2009)

Czechoslovak Mathematical Journal

In this paper, we study closed $k$ -maximal spacelike hypersurfaces $M^{n}$ in anti-de Sitter space $H_{1}^{n + 1} (- 1)$ with two distinct principal curvatures and give some integral formulas about these hypersurfaces.

Integral formulas for compact spacelike n-submanifolds in de Sitter spaces Applications to the parallel mean curvature vector case.

Alfonso Romero, Luis J. Alías (1995)

Manuscripta mathematica

Integral Inequalities for Maximal Space-like Submanifolds in the Indefinite Space Form

Liu Ximin (2003)

Matematički Vesnik

Integral inequalities for maximal space-like submanifolds in the indefinite space form.

Liu, Ximin (2001)

Balkan Journal of Geometry and its Applications (BJGA)

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