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The automorphism groups of foliations with transverse linear connection

Nina Zhukova, Anna Dolgonosova (2013)

Open Mathematics

The category of foliations is considered. In this category morphisms are differentiable maps sending leaves of one foliation into leaves of the other foliation. We prove that the automorphism group of a foliation with transverse linear connection is an infinite-dimensional Lie group modeled on LF-spaces. This result extends the corresponding result of Macias-Virgós and Sanmartín Carbón for Riemannian foliations. In particular, our result is valid for Lorentzian and pseudo-Riemannian foliations.

The Cauchy problem for Lorentz metrics with prescribed Ricci curvature

Dennis M. DeTurck (1983)

Compositio Mathematica

The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product

Carlo Greco (1993)

Annales de l'I.H.P. Analyse non linéaire

The Euler theorem and Dupin indicatrix for surfaces at a constant distance from edge of regression on a surface in $E_{1}^{3}$

Derya Sağlam, Özgür Boyacıoğlu Kalkan (2013)

Matematički Vesnik

The first eigenvalue of spacelike submanifolds in indefinite space form $R_{p}^{n + p}$

Yingbo Han, Shuxiang Feng (2011)

Archivum Mathematicum

In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in $R_{p}^{n + p}$ with the bounded Gauss map must be zero.

The geometrical interpretation of temporal cone norm in almost Minkowski manifold.

Noaghi, Sorin (2003)

Balkan Journal of Geometry and its Applications (BJGA)

The geometry of a vector bundle endowed with a cone field.

Papuc, Dan I. (1997)

General Mathematics

The instability of naked singularities in the gravitational collapse of a scalar field.

Christodoulou, Demetrios (1999)

Annals of Mathematics. Second Series

The isotropic 3-sphere.

Vogel, Walter O. (1995)

Mathematica Pannonica

The local structure of essentially conformally symmetric manifolds with constant fundamental function I. The elliptic case

A. Derdziński (1979)

Colloquium Mathematicae

The resolution of the bounded $L^{2}$ curvature conjecture in general relativity

Sergiu Klainerman, Igor Rodnianski, Jérémie Szeftel (2014/2015)

Séminaire Laurent Schwartz — EDP et applications

This paper reports on the recent proof of the bounded $L^{2}$ curvature conjecture. More precisely we show that the time of existence of a classical solution to the Einstein-vacuum equations depends only on the $L^{2}$ -norm of the curvature and a lower bound of the volume radius of the corresponding initial data set.

The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures

Zbigniew Olszak (2013)

Publications de l'Institut Mathématique

The spacetime positive mass theorem in dimensions less than eight

Michael Eichmair, Lan-Hsuan Huang, Dan A. Lee, Richard Schoen (2016)

Journal of the European Mathematical Society

We prove the spacetime positive mass theorem in dimensions less than eight. This theorem asserts that for any asymptotically flat initial data set that satisfies the dominant energy condition, the inequality $E \geq |P|$ holds, where $(E, P)$ is the ADM energy-momentum vector. Previously, this theorem was only known for spin manifolds [38]. Our approach is a modification of the minimal hypersurface technique that was used by the last named author and S.-T. Yau to establish the time-symmetric case of this theorem...

The values of sectional curvature in indefinite metrics.

R.S. Kulkarni (1979)

Commentarii mathematici Helvetici

Timelike $B_{2}$ -slant helices in Minkowski space $E_{1}^{4}$

Ahmad T. Ali, Rafael López (2010)

Archivum Mathematicum

We consider a unit speed timelike curve $α$ in Minkowski 4-space $𝐄_{1}^{4}$ and denote the Frenet frame of $α$ by ${𝐓, 𝐍, 𝐁_{1}, 𝐁_{2}}$ . We say that $α$ is a generalized helix if one of the unit vector fields of the Frenet frame has constant scalar product with a fixed direction $U$ of $𝐄_{1}^{4}$ . In this work we study those helices where the function $〈 𝐁_{2}, U 〉$ is constant and we give different characterizations of such curves.

Timelike trajectories with fixed energy under a potential in static spacetimes.

Germinario, Anna (2006)

International Journal of Mathematics and Mathematical Sciences

Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold

Payel Karmakar (2024)

Mathematica Bohemica

We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions...

Currently displaying 1 – 20 of 23