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$p$ -Capacity and $p$ -Hyperbolicity of Submanifolds.

M. Holopainen, S. Markvorsen, V. Palmer (2009)

Revista Matemática Iberoamericana

Parallel immersions into spaces of constant curvature and conformal transformations.

Wegner, Bernd (1997)

General Mathematics

Parallel Kaehler Submanifolds of Hermitian Symmetric Spaces.

Kazumi Tsukada (1985)

Mathematische Zeitschrift

Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions

Stere Ianuş, Stefano Marchiafava, Gabriel Vîlcu (2010)

Open Mathematics

In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also study a class of semi-Riemannian submersions from paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds.

Plateau-Stein manifolds

Misha Gromov (2014)

Open Mathematics

We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.

Plongements bilipschitziens dans les espaces euclidiens, $Q$ -courbure et flot quasi-conforme

Hervé Pajot (2006/2007)

Séminaire de théorie spectrale et géométrie

Soit $g_{0}$ la métrique riemannienne standard sur $ℝ^{4}$ et soit $g = e^{2 u}$ une déformation conforme lisse de $g_{0}$ . Nous présentons une condition suffisante en terme de $Q$ -courbure pour que la variété $(ℝ^{4}, g)$ se plonge de façon bilipschitzienne, en tant qu’espace métrique, dans $(ℝ^{4}, g_{0})$ . Ce théorème du à Bonk, Heinonen et Saksman découle d’un résultat lié au problème du jacobien quasiconforme.

Principal toroidal bundles over Cauchy-Riemann products.

Abatangelo, L.Maria, Dragomir, Sorin (1990)

International Journal of Mathematics and Mathematical Sciences

Produkt-Zerlegung von Immersionen mit paralleler zweiter Fundamentalform.

Dirk Ferus (1974)

Mathematische Annalen

Projections of transnormal twisted spheres

Craveiro de Carvalho, F.J. (1988)

Portugaliae mathematica

Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds

Krishnendu De, Uday Chand De (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The object of the present paper is to study $ξ$ -projectively flat and $φ$ -projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.

Projective subspaces in the variety of normal sections and tangent spaces to a symmetric space.

Dal Lago, Walter, García, Alicia, Sánchez, Cristián U. (1998)

Journal of Lie Theory

Pseudo-Bochner-flat locally conformal Kähler submanifolds

Koji Matsuo (2007)

Colloquium Mathematicae

Let M̃ be an (m+r)-dimensional locally conformal Kähler (l.c.K.) manifold and let M be an m-dimensional l.c.K. submanifold of M̃ (i.e., a complex submanifold with the induced l.c.K. structure). Assume that both M̃ and M are pseudo-Bochner-flat. We prove that if r < m, then M is totally geodesic (in the Hermitian sense) in M̃. This is the l.c.K. version of Iwatani's result for Bochner-flat Kähler submanifolds.

Pseudo-parallel submanifolds of a space form.

Asperti, Antonio C., Lobos, Guillermo A., Mercuri, Francesco (2002)

Advances in Geometry

Pseudo-umbilical spacelike submanifolds in the indefinite space form.

Cao, Xi-Fang (2001)

Balkan Journal of Geometry and its Applications (BJGA)

Currently displaying 1 – 14 of 14

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