Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in general sub-Lorentzian manifolds.
Grochowski, M., Warhurst, B.
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Certain infinitesimal transformation of normal contact metric manifold [PDF]
Kodai Mathematical Journal, 1966 Introduction. In the previous paper [2], the author studied infinitesimal conformal and projective transformations of normal contact metric manifold. In the present paper, we study certain infinitesimal transformation of normal contact metric manifold and prove the following THEOREM 1.
Masafumi Okumura
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Infinitesimal contact transformations and their applications to abstract growth patterns [PDF]
Quarterly of Applied Mathematics, 1980 Several abstract mathematical models of two-dimensional objects or “organisms” are introduced. The objects are abstractions, created by the combination of pattern-theoretic generators. They are deformed by what are shown to be infinitesimal contact transformations.
Igor Frolow
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On infinitesimal conformal and projective transformations of normal contact spaces [PDF]
Tohoku Mathematical Journal, 1962 Introduction. In the previous paper [ 4 ]° the author discussed some properties of normal contact spaces. However, problems concerning infinitesimal transformations have not been studied. In the present paper such problems are concerned and some satisfactory answers are given. In § 1, we state the fundamental identities of normal contact spaces. In § 2,
Masafumi Okumura
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CONFORMAL INFINITESIMAL TRANSFORMATIONS IN AN ALMOST r-CONTACT HYPERBOLIC PRODUCT MANIFOLD [PDF]
Demonstratio Mathematica, 1986 The authors give necessary and sufficient conditions for a vector field to be an infinitesimal conformal transformation in an almost r-contact hyperbolic manifold defined by \textit{K. K. Dube} and \textit{R. Niwas} [Demonstr. Math. 11, 887-897 (1978; Zbl 0402.53020)].
Pant, Jaya, Upadhyay, Anoop
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Generalized Normal Forms of Infinitesimal Symplectic and Contact Transformations in the Neighborhood of a Singular Point [PDF]
, 2012 Definition of generalized normal form for a system of ODEs corresponding to an infinitesimal symplectic or contact transformation near a singular point, with an arbitrary polynomial unperturbed part, and a method of its finding are introduced. Applicability of the introduced method to studying the critical phenomena in non-ideal media is shown.
Arthur S. Vaganyan
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The infinitesimal contact transformations of mechanics [PDF]
Bulletin of the American Mathematical Society, 1910 Edward Kasner
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Note on infinitesimal transformations over contact manifolds [PDF]
Tohoku Mathematical Journal, 1962 Shûkichi Tanno
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INFINITESIMAL PROJECTIVE TRANSFORMATIONS ON CONTACT RIEMANNIAN MANIFOLDS
INFINITESIMAL PROJECTIVE TRANSFORMATIONS ON CONTACT RIEMANNIAN MANIFOLDS和泉 長谷川, 一也 山内
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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