Characterization of totally umbilic hypersurfaces in a space form by circles

CIRCLES AND TOTALLY GEODESIC KÄHLER SUBMANIFOLDS

Kaoru Suizu
Communicated S. Maeda

January 2002

Abstract. The purpose of this paper is to characterize all totally geodesic Kähler submanifolds by ...

Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces

Montaldo, S.
Pámpano, A.

January 2021

A hypersurface is said to be totally biharmonic if all its geodesics are biharmonic curves in the am...

EXPLICIT RIGIDITY OF ALMOST-UMBILICAL HYPERSURFACES

Roth, Julien
Scheuer, Julian

December 2018

International audienceWe give an explicit estimate of the distance of a closed, connected, orientabl...

A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping

Canfes, Elif O.
Ozdeger, Abdulkadir

September 2013

The idea of considering the second fundamental form of a hypersurface as the first fundamental form ...

Characterization of totally umbilic hypersurfaces in a space form by circles

Adachi, Toshiaki
Maeda, Sadahiro

January 2005

summary:In this paper we characterize totally umbilic hypersurfaces in a space form by a property of...

A new result about almost umbilical hypersurfaces of space forms

Roth, Julien

February 2015

International audienceIn this short note, we prove that an almost umbilical hypersurface of a real s...

CHARACTERIZATION OF TOTALLY UMBILIC HYPERSURFACES IN A SPACE FORM BY CIRCLES

Toshiaki Adachi
Sadahiro Maeda

January 2002

This document has been digitized, optimized for electronic delivery and stamped with digital signatu...

A new result about almost umbilical hypersurfaces of real space forms

Roth, J.

November 2014

In this short note, we prove that an almost umbilical hypersurface of a real space form with almost ...

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

Kon, Mayuko

January 2008

summary:We give a characterization of totally $\eta $-umbilical real hypersurfaces and ruled real hy...

A characterization of extrinsic spheres in a Riemannian manifold

Sadahiro Maeda

October 2016

Abstract. We give a characterization of a totally umbilic submanifold Mn with parallel mean curvatur...

Hypersurfaces in space forms satisfying the condition ∆x = Ax +B

Luis J. Alı́as
Pascual Lucas

January 2015

In this work we study and classify pseudo-Riemannian hypersurfaces in pseudo-Riemannian space forms ...

Geometry of hypersurfaces

Cecil, Thomas E
Ryan, Patrick J

January 2015

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real,...

Hypersurfaces with Constant Scalar Curvature in a Hyperbolic Space Form

Liu Ximin
Su Weihong

February 2015

Let Mn be a complete hypersurface with constant normalized scalar curva-ture R in a hyperbolic space...

LORENTZIAN ISOPARAMETRIC HYPERSURFACES IN

Liang Xiao
Liang Xiao

January 1999

In 1981, Nomizu introduced isoparametric hypersurfaces in Lorentzian space forms and studied the Car...

Isometric immersions k-umbílicas in spatial forms

Echaiz-Espinoza, Fernando Enrique

February 2004

Let x be an isometric immersion in its second fundamental form. Newton's polynomials are defined ind...

CIRCLES AND TOTALLY GEODESIC KÄHLER SUBMANIFOLDS

Kaoru Suizu
Communicated S. Maeda

January 2002

Abstract. The purpose of this paper is to characterize all totally geodesic Kähler submanifolds by ...

Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces

Montaldo, S.
Pámpano, A.

January 2021

A hypersurface is said to be totally biharmonic if all its geodesics are biharmonic curves in the am...

EXPLICIT RIGIDITY OF ALMOST-UMBILICAL HYPERSURFACES

Roth, Julien
Scheuer, Julian

December 2018

International audienceWe give an explicit estimate of the distance of a closed, connected, orientabl...

A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping

Canfes, Elif O.
Ozdeger, Abdulkadir

September 2013

The idea of considering the second fundamental form of a hypersurface as the first fundamental form ...

Characterization of totally umbilic hypersurfaces in a space form by circles

Adachi, Toshiaki
Maeda, Sadahiro

January 2005

summary:In this paper we characterize totally umbilic hypersurfaces in a space form by a property of...

A new result about almost umbilical hypersurfaces of space forms

Roth, Julien

February 2015

International audienceIn this short note, we prove that an almost umbilical hypersurface of a real s...

CHARACTERIZATION OF TOTALLY UMBILIC HYPERSURFACES IN A SPACE FORM BY CIRCLES

Toshiaki Adachi
Sadahiro Maeda

January 2002

This document has been digitized, optimized for electronic delivery and stamped with digital signatu...

A new result about almost umbilical hypersurfaces of real space forms

Roth, J.

November 2014

In this short note, we prove that an almost umbilical hypersurface of a real space form with almost ...

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

Kon, Mayuko

January 2008

summary:We give a characterization of totally $\eta $-umbilical real hypersurfaces and ruled real hy...

A characterization of extrinsic spheres in a Riemannian manifold

Sadahiro Maeda

October 2016

Abstract. We give a characterization of a totally umbilic submanifold Mn with parallel mean curvatur...

Hypersurfaces in space forms satisfying the condition ∆x = Ax +B

Luis J. Alı́as
Pascual Lucas

January 2015

In this work we study and classify pseudo-Riemannian hypersurfaces in pseudo-Riemannian space forms ...

Geometry of hypersurfaces

Cecil, Thomas E
Ryan, Patrick J

January 2015

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real,...

Hypersurfaces with Constant Scalar Curvature in a Hyperbolic Space Form

Liu Ximin
Su Weihong

February 2015

Let Mn be a complete hypersurface with constant normalized scalar curva-ture R in a hyperbolic space...

LORENTZIAN ISOPARAMETRIC HYPERSURFACES IN

Liang Xiao
Liang Xiao

January 1999

In 1981, Nomizu introduced isoparametric hypersurfaces in Lorentzian space forms and studied the Car...

Isometric immersions k-umbílicas in spatial forms

Echaiz-Espinoza, Fernando Enrique

February 2004

Let x be an isometric immersion in its second fundamental form. Newton's polynomials are defined ind...

CIRCLES AND TOTALLY GEODESIC KÄHLER SUBMANIFOLDS

Kaoru Suizu
Communicated S. Maeda

January 2002

Abstract. The purpose of this paper is to characterize all totally geodesic Kähler submanifolds by ...

Totally biharmonic hypersurfaces in space forms and 3-dimensional BCV spaces

Montaldo, S.
Pámpano, A.

January 2021

A hypersurface is said to be totally biharmonic if all its geodesics are biharmonic curves in the am...

EXPLICIT RIGIDITY OF ALMOST-UMBILICAL HYPERSURFACES

Roth, Julien
Scheuer, Julian

December 2018

International audienceWe give an explicit estimate of the distance of a closed, connected, orientabl...

Characterization of totally umbilic hypersurfaces in a space form by circles

Abstract

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Characterization of totally umbilic hypersurfaces in a space form by circles

Abstract

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