Results 141 to 150 of about 341 (179)

Multiscale differential geometry learning of networks with applications to single-cell RNA sequencing data. [PDF]

Comput Biol Med
Feng H, Cottrell S, Hozumi Y, Wei GW.
europepmc   +1 more source

A Boundary-Local Mass Cocycle and the Mass of Asymptotically Hyperbolic Manifolds. [PDF]

Commun Math Phys
Čap A, Gover AR.
europepmc   +1 more source

Pseudo-Riemannian weakly symmetric manifolds [PDF]

Annals of Global Analysis and Geometry, 2011
Nine ...
Joseph A Wolf, Chen Zhiqi, Wolf Joseph A   +2 more
exaly   +4 more sources

Semisimple weakly symmetric pseudo-Riemannian manifolds [PDF]

Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg, 2018
This arXiv version 3 adds a reference to version 2 and tweaks the Introduction ...
Joseph A Wolf, Chen Zhiqi, Wolf Joseph A   +2 more
exaly   +6 more sources

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Pseudo-Riemannian Manifolds

2010
This chapter is a brief summary of the main concepts and results about pseudo-Riemannian and Lorentzian manifolds which will be widely used in the rest of the book. While the theory is presented from the beginning in a systematic way, some proofs have been omitted and others are simply hinted at. That is why the reading of this chapter assumes previous
Joan Girbau, Lluís Bruna
openaire   +1 more source

Projective Transformations of Pseudo-Riemannian Manifolds

Journal of Mathematical Sciences, 2003
This paper is a survey of the results on the theory of projective transformations of pseudo-Riemannian manifolds. A projective transformation of a pseudo-Riemannian manifold \(M^ n\) is an automorphism of the induced Riemannian connection of the projective structure that takes geodesics of \(M^ n\) into geodesics.
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On Local Structure of Pseudo-Riemannian Poisson Manifolds and Pseudo-Riemannian Lie Algebras

Journal of Lie Theory, 2012
The results of the paper under review are related to the work of \textit{M. Boucetta} [C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 8, 763--768 (2001; Zbl 1009.53057); Differ. Geom. Appl. 20, No. 3, 279--291 (2004; Zbl 1061.53058); J. Lie Theory 15, No.
Chen, Zhiqi, Zhu, Fuhai
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Contraforms on Pseudo-Riemannian Manifolds

2003
On the exterior algebra of forms of a pseudo-Riemannian manifold M there acting three notable operators: exterior differential d, the Hodge operator * and the codifferential δ. There are basic in defining the de Rahm cohomology and for the theory of harmonic forms (Hodge theory) .
M. Anastasiei, Gabriela Ciobanu, I. Gottlieb   +2 more
openaire   +1 more source

On the biharmonicity of vector fields on pseudo-Riemannian manifolds

2023
Summary: In this article, we deal with the biharmonicity of a vector field \(X\) viewed as a map from a pseudo-Riemannian manifold \((M, g)\) into its tangent bundle \(TM\) endowed with the Sasaki metric \(g_S\). Precisely, we characterize those vector fields which are biharmonic maps, and find the relationship between them and biharmonic vector fields.
ÖZKAN, MUSTAFA, Alem, Amina, Kacimi, Bouazza   +2 more
openaire   +2 more sources