Results 91 to 100 of about 20,711 (219)

Positive paths in diffeomorphism groups of manifolds with a contact distribution

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Given a cooriented contact manifold (M,ξ)$(M,\xi)$, it is possible to define a notion of positivity on the group Diff(M)$\mathrm{Diff}(M)$ of diffeomorphisms of M$M$, by looking at paths of diffeomorphisms that are positively transverse to the contact distribution ξ$\xi$.
Jakob Hedicke
wiley   +1 more source

X-ray Transforms in Pseudo-Riemannian Geometry

, 2019
We study the problem of recovering a function on a pseudo-Riemannian manifold from its integrals over all null geodesics in three geometries: pseudo-Riemannian products of Riemannian manifolds, Minkowski spaces, and tori. We give proofs of uniqueness and
Ilmavirta, Joonas
core   +1 more source

Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics

Galaxies, 2018
Relativistic location systems that extend relativistic positioning systems show that pseudo-Riemannian space-time geometry is somehow encompassed in a particular four-dimensional projective geometry.
Jacques L. Rubin
doaj   +1 more source

Naturally reductive pseudo-Riemannian spaces

Journal of Geometry and Physics, 2011
A shorter, clearer and more concise ...
openaire   +2 more sources

Basic Harmonic Analysis on Pseudo-Riemannian Symmetric Spaces

, 1994
We give a survey of the present knowledge regarding basic questions in harmonic analysis on pseudo-Riemannian symmetric spaces G /H, where G is a semisimple Lie group: The definition of the Fourier transform, the Plancherel formula, the inversion formula and the Paley-Wiener theorem.
Ban, E.P. van den, Flensted-Jensen, M., Schlichtkrull, H.   +2 more
openaire   +3 more sources

Spherical distributions on the pseudo-Riemannian space SL(n, R)/GLSL(n−R)

, 1986
In this paper we determine the spherical distributions on the pseudo-Riemannian symmetric space SL(n, R)/GLSL(n−R and study their asymptotics, thus providing the necessary ingredients for the Plancherel formula for this ...
Kosters, M.T, van Dijk, G
core   +1 more source

Linear Isometries on Pseudo-Euclidean Space [PDF]

, 2012
In this paper, we characterize curvature of s-line, particularly, Smarandachely embedded graphs and determine linear isometries on (Rn, μ)
Mao, Linfan, Linfan Mao
core   +1 more source

Two-step homogeneous geodesics in pseudo-Riemannian manifolds

, 2021
Given a homogeneous pseudo-Riemannian space (G/H,⟨,⟩), a geodesic γ: I→ G/ H is said to be two-step homogeneous if it admits a parametrization t= φ(s) (s affine parameter) and vectors X, Y in the Lie algebra g, such that γ(t) = exp (tX) exp (tY) · o, for
Arvanitoyeorgos A., Calvaruso G., Souris N. P.   +2 more
core   +1 more source

Regularities of the theory of quasi-geodesic mappings of special parabolic spaces

Pracì Mìžnarodnogo Geometričnogo Centru
We study quasi-geodesic mappings (QGM) of generalized-recurrent-parabolic spaces f: (Vn, gij, Fih) → (V'n, g'ij, Fih). QGM can be of two types: general and canonical. This article examines the QGM of the general type.
Iryna Kurbatova, Nadiia Konovenko, Margaret Pistruil   +2 more
doaj   +1 more source

Global solvability of the laplacians on pseudo-Riemannian symmetric spaces

Journal of Functional Analysis, 1979
AbstractLet G be a noncompact semisimple Lie group with finite center and H an open subgroup of the fixed point group of an involution of G. GH becomes a pseudo-Riemannian manifold. We prove that the Laplacian P on GH is globally solvable in the sense that PC∞(GH) = C∞(GH). This generalizes the global solvability of the Casimir operators on non-compact
openaire   +1 more source