Integrable anisotropic evolution equations on a sphere.
Meshkov, Anatoly G., Balakhnev, Maxim Ju. (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “A discretization of the nonholonomic Chaplygin sphere problem.”
Integrable anisotropic evolution equations on a sphere.
The Helmholtz conditions for the difference equations systems.
Crăciun, Dumitru, Opriş, Dumitru (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Yang-Baxter maps from the discrete BKP equation.
Kakei, Saburo, Nimmo, Jonathan J.C., Willox, Ralph (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Noether’s theorem for a fixed region
Klaus Bering (2011)
Archivum Mathematicum
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We give an elementary proof of Noether's first Theorem while stressing the magical fact that the global quasi-symmetry only needs to hold for one fixed integration region. We provide sufficient conditions for gauging a global quasi-symmetry.
Equilateral, diametral, centered sets and subsets of spheres.
Pier Luigi Papini (2004)
Extracta Mathematicae
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Brouwer Invariance of Domain Theorem
Karol Pąk (2014)
Formalized Mathematics
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In this article we focus on a special case of the Brouwer invariance of domain theorem. Let us A, B be a subsets of εn, and f : A → B be a homeomorphic. We prove that, if A is closed then f transform the boundary of A to the boundary of B; and if B is closed then f transform the interior of A to the interior of B. These two cases are sufficient to prove the topological invariance of dimension, which is used to prove basic properties of the n-dimensional manifolds, and also to prove basic...
A dynamical approach to compactify the three dimensional Lorentz group.
Salvai, Marcos (2005)
Journal of Lie Theory
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On the functorial method for studying the lattices of subgroups of finite groups.
Vasil'ev, A.F., Kamornikov, S.F. (2001)
Sibirskij Matematicheskij Zhurnal
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Integrable discrete equations derived by similarity reduction of the extended discrete KP hierarchy.
Svinin, Andrei K. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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