Results 11 to 20 of about 277,829 (311)
Cumhuriyet Science Journal, 2022 Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve ...
Zuhal Kucukarslan Yuzbasi
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An example of a non-Borel locally-connected finite-dimensional topological group
Karpatsʹkì Matematičnì Publìkacìï, 2017 According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of ...
I.Ya. Banakh, T.O. Banakh, M.I. Vovk
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Lie group analysis for short pulse equation [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
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On the Solution of the Schrödinger Equation with Position-Dependent Mass
Universe, 2020 We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed.
Mehmet Sezgin
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On Groups of Automorphism of Lie Groups [PDF]
Proceedings of the National Academy of Sciences, 1944 Not ...
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Transactions of the American Mathematical Society, 1985 This paper studies the structure of locally compact groups which are determined by Lie groups in one form or another. The best understood class if that of pro-Lie groups G (which are locally compact groups with arbitrarily small compact normal subgroups N such that G/N is a Lie group. Theorem 1 says that these are precisely those groups G such that for
Bagley, R. W., Wu, T. S., Yang, J. S.
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Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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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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Transformation Groups, 2018 In this paper we study the Lie theoretic properties of a class of topological groups which carry a Banach manifold structure but whose multiplication is not smooth. If $G$ and $N$ are Banach-Lie groups and $ : G \to \mathrm{Aut}(N)$ is a homomorphism defining a continuous action of $G$ on $N$, then $H := N \rtimes_ G$ is a Banach manifold with a ...
Marquis, T., Neeb, K-H.
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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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