Results 21 to 30 of about 2,088,433 (326)
Computing Bi-Invariant Pseudo-Metrics on Lie Groups for Consistent Statistics
Entropy, 2015 In computational anatomy, organ’s shapes are often modeled as deformations of a reference shape, i.e., as elements of a Lie group. To analyze the variability of the human anatomy in this framework, we need to perform statistics on Lie groups. A Lie group
Nina Miolane, Xavier Pennec
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Contact and almost contact structures on the real extension of the Lobachevsky plane
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
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Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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Einstein warped product spaces on Lie groups
Cubo, 2022 We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal +2 more
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, 2011 In this paper we see the evolution of a capitalized financial event e, with respect to a capitalization factor f, as the exponential map of a suitably defined Lie group G(f,e), supported by the half-space of capitalized financial events having the same capital sign of e.
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The Lie Group in Infinite Dimension
Abstract and Applied Analysis, 2011 A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem).
V. Tryhuk, V. Chrastinová, O. Dlouhý
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Controllabilty and stability analysis on a group associated with Black-Scholes equation [PDF]
Archives of Control Sciences, 2020 In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations.
Archana, Tiwari +2 more
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Generalized Lorentzian Ricci solitons on 3-dimensional Lie groups associated to the Bott Connection [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we investigate which one of the non-isometric left-invariant Lorentz metrics $g$ on $3$-dimensional Lie groups satisfies the generalized Ricci soliton equation $a{\rm Ric}^B [g] + \dfrac{b}{2}{\cal L}_{ X}^B g +cX^\flat\otimes X^\flat ...
Ghodratallah Fasihi Ramandi +2 more
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Mathematics, 2019 The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
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The Method of Insulator Defect Recognition Based on Group Theory
IEEE Access, 2021 The auto insulator defect recognition method is more efficient and reliable than manual method, and it has lots of application. The paper presents an insulator recognition method, and meanwhile it attempts to explore the intrinsic characteristics among ...
Changjian Deng
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