Differential geometry of group lattices
نویسندگان
چکیده
منابع مشابه
Differential Geometry and Hydrodynamics of Soliton Lattices
I am going to discuss here some results in the soliton theory of a Moscow group during the last years. The group of people who worked here include B.A. Dubrovin I.M. Krichever, S.P. T̂sarev (and the present author). More details may be found in the survey article [1]. Modern needs in the large new classes of hydrodynamic type systems appear in connection with very interesting asymptotic method—s...
متن کاملErgodic Theory, Group Theory and Differential Geometry.
6Hall, B. D., and S. Spiegelman, these PROCEEDINGS, 47,137(1961). 7Nygaard, A. P., and B. D. Hall, Biochem. Biophys. Res. Comm., 12, 98 (1963). 8 Adams, M. H., Bacteriophages (New York: Interscience Publishers, Inc., 1959), p. 446. 9 Kellenberger. G., M. L. Zichichi, and J. J. Weigle, these PROCEEDINGS, 47, 869 (1961). 10 Weigle, J., M. Meselson, and K. Paigen, J. Mot. Biol., 1, 379 (1960). 11 ...
متن کاملHydrodynamics of Weakly Deformed Soliton Lattices. Differential Geometry and Hamiltonian Theory Hydrodynamics of Weakly Deformed Soliton Lattices. Differential Geometry and Hamiltonian Theory
CONTENTS Introduction 35 Chapter I. Hamiltonian theory of systems of hydrodynamic type 45 § 1. General properties of Poisson brackets 45 §2. Hamiltonian formalism of systems of hydrodynamic type and 55 Riemannian geometry §3. Generalizations: differential-geometric Poisson brackets of higher orders, 66 differential-geometric Poisson brackets on a lattice, and the Yang-Baxter equation §4. Rieman...
متن کاملStatistical Geometry and Lattices
Statistical geometry furnishes the tool that allows the transfer of results from a lattice with finite lattice parameter to the continuum. Since lattice simulations are simpler than continuum ones, this suggests that larger scale simulations for the continuum might be more effectively carried out on a lattice with finite lattice parameter followed by the indicated transfer. We also show that a ...
متن کاملRecurrent metrics in the geometry of second order differential equations
Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1540713