Results 71 to 80 of about 2,992 (175)
Nilpotent Bases for a Class of Non-Integrable Distributions with Applications to Trajectory Generation for Nonholonomic Systems [PDF]
, 1992 This paper develops a constructive method for finding a nilpotent basis for a special class of smooth nonholonomic distributions. The main tool is the use of the Goursat normal form theorem which arises in the study of exterior differential systems.
Murray, Richard M.
core
Totally deranged elements of almost simple groups and invariable generating sets
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract By a classical theorem of Jordan, every faithful transitive action of a non‐trivial finite group has a derangement (an element with no fixed points). The existence of derangements with additional properties has attracted much attention, especially for faithful primitive actions of almost simple groups.
Scott Harper
wiley +1 more source
Initial value problems for wave equations on manifolds
, 2014 We study the global theory of linear wave equations for sections of vector bundles over globally hyperbolic Lorentz manifolds. We introduce spaces of finite energy sections and show well-posedness of the Cauchy problem in those spaces.
Baer, Christian, Wafo, Roger Tagne
core +1 more source
Minimal surfaces with symmetries
Proceedings of the London Mathematical Society, Volume 128, Issue 3, March 2024.Abstract Let G$G$ be a finite group acting on a connected open Riemann surface X$X$ by holomorphic automorphisms and acting on a Euclidean space Rn$\mathbb {R}^n$ (n⩾3)$(n\geqslant 3)$ by orthogonal transformations. We identify a necessary and sufficient condition for the existence of a G$G$‐equivariant conformal minimal immersion F:X→Rn$F:X\rightarrow
Franc Forstnerič
wiley +1 more source
Word maps with constants on symmetric groups
Mathematische Nachrichten, Volume 297, Issue 1, Page 165-173, January 2024.Abstract We study word maps with constants on symmetric groups. Even though there are non‐trivial mixed identities of bounded length that are valid for all symmetric groups, we show that no such identities can hold in the limit in a metric sense. Moreover, we prove that word maps with constants and non‐trivial content, that are short enough, have an ...
Jakob Schneider, Andreas Thom
wiley +1 more source
Conformal scattering theory for the linearized gravity fields on Schwarzschild spacetime
, 2020 We provide in this paper a first step to obtain the conformal scattering theory for the linearized gravity fields on the Schwarzschild spacetime by using the conformal geometric approach.
Xuan, Pham Truong
core
A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
Electronic Journal of Differential Equations, 2002 In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general ...
Bidzina Midodashvili
doaj
On the Goursat problem for a second order equation
Electronic Journal of Differential Equations, 2002 We consider the Goursat problem for second order operators and show existence and uniqueness of smooth solutions. We prove one of the results of Hasegawa (J. Math. Soc. Japan 50 (1998), no. 3, 639--662) by the energy method.
Shigeo Tarama
doaj
Conformal scattering for a nonlinear wave equation on a curved background
, 2010 The purpose of this paper is to establish a geometric scattering result for a conformally invariant nonlinear wave equation on an asymptotically simple spacetime. The scattering operator is obtained via trace operators at null infinities.
Bachelot A. +15 more
core +2 more sources
Generic solutions for some integrable lattice equations
, 1994 We derive the expressions for $\psi$-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice N-wave type equations.
G. Segal +5 more
core +1 more source