Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable
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Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable
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Author : Kazuyoshi Kiyohara
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable written by Kazuyoshi Kiyohara and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.
Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable
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Author : Kazuyoshi Kiyohara
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-09-11
Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable written by Kazuyoshi Kiyohara and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with MATHEMATICS categories.
Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many examples of manifolds with integrable geodesic flow.
Integrable Hamiltonian Systems
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Author : A.V. Bolsinov
language : en
Publisher: CRC Press
Release Date : 2004-02-25
Integrable Hamiltonian Systems written by A.V. Bolsinov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-25 with Mathematics categories.
Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,
Proceedings Of The Workshop Contemporary Geometry And Related Topics
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Author : Neda Bokan
language : en
Publisher: World Scientific
Release Date : 2004
Proceedings Of The Workshop Contemporary Geometry And Related Topics written by Neda Bokan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Readership: Researchers in geometry & topology, nonlinear science and dynamical systems.
Periodic Hamiltonian Flows On Four Dimensional Manifolds
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Author : Yael Karshon
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Periodic Hamiltonian Flows On Four Dimensional Manifolds written by Yael Karshon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
The Integral Manifolds Of The Three Body Problem
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Author : Christopher Keil McCord
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
The Integral Manifolds Of The Three Body Problem written by Christopher Keil McCord and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energu, center of mass, linear and angular momentum fixed defines an eight dimensional manifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to "critical points at infinity". This disproves Birkhoffs conjecture that the bifurcations occur only at central configurations.
A Continuum Limit Of The Toda Lattice
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Author : Percy Deift
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
A Continuum Limit Of The Toda Lattice written by Percy Deift and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions. Using the integrability of the finite Toda lattice, the authors adapt the method introduced by Lax and Levermore for the study of the small dispersion limit of the Korteweg de Vries equations to the case of the Toda lattice. A general class of initial data is considered which permits, in particular, the formation of shocks. A feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.
The Study Of Minimax Inequalities And Applications To Economies And Variational Inequalities
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Author : George Xian-Zhi Yuan
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
The Study Of Minimax Inequalities And Applications To Economies And Variational Inequalities written by George Xian-Zhi Yuan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book provides a unified treatment for the study of the existence of equilibria of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities, which strongly depend on his infinite dimensional version of the classical Knaster, Kuratowski and Mazurkiewicz Lemma (KKM Lemma) in 1961. Studied are applications of general system versions of minimax inequalities and generalized quasi-variational inequalities, and random abstract economies and its applications to the system of random quasi-variational inequalities are given.
Rank 3 Amalgams
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Author : Bernd Stellmacher
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Rank 3 Amalgams written by Bernd Stellmacher and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book is intended for graduate students and research mathematicians working in classical linear algebraic
Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps
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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Generalizations Of The Perron Frobenius Theorem For Nonlinear Maps written by Roger D. Nussbaum and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea