Parallel immersions into spaces of constant curvature and conformal transformations.

Wegner, Bernd

Displaying similar documents to “Parallel immersions into spaces of constant curvature and conformal transformations.”

Prescribing mean curvature: existence and uniqueness problems.

Kamberov, G. (1998)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity:

An Inequality between the Exterior Diameter and the Mean Curvature of Bounded Immersions.

Luqesio P. de Jorge, F.V. Xavier (1981)

Mathematische Zeitschrift

Similarity:

Nonnegativity for the Curvature Operator and Isotropy for Isometric Immersions.

Rolf Walter, Norbert Kleinjohann (1982)

Mathematische Zeitschrift

Similarity:

Compactness of conformal metrics with positive gaussian curvature in $ℝ^{2}$

Kuo-Shung Cheng, Chang-Shou Lin (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Isometric Immersions in Codimesion Two with Non Negative Curvature.

Francesco Mercuri, Yuriko Y. Baldin (1980)

Mathematische Zeitschrift

Similarity:

The space of negative scalar curvature metrics.

Joachim Lohkamp (1992)

Inventiones mathematicae

Similarity:

Conformal metrics with prescribed scalar curvature.

J.F. Escobar, R.M. Schoen (1986)

Inventiones mathematicae

Similarity:

A lower bound for the i-th total absolute curvature of an immersion

Wolfgang Kühnel (1979)

Colloquium Mathematicae

Similarity:

Constant mean curvature surfaces in $4$ -space forms

Jost-Hinrich Eschenburg, Renato de Azevedo Tribuzy (1988)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Structurally stable configurations of lines of mean curvature and umbilic points on surfaces immersed in R.

Ronaldo García, Jorge Sotomayor (2001)

Publicacions Matemàtiques

Similarity:

In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...

Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form

Esmaeil Abedi, Reyhane Bahrami Ziabari, Mukut Mani Tripathi (2016)

Archivum Mathematicum

Similarity:

We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, $θ$ -slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.