Calculus and mechanics on two-point homogeneous Riemannian spaces

DOI10.1007/b11771456zbMath1115.53017OpenAlexW1636777865MaRDI QIDQ859726

Alexey V. Shchepetilov

Publication date: 18 January 2007

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b11771456

zbMATH Keywords

two-body problemdifferential operatorsHamiltonian dynamical systemstwo-point homogeneous Riemannian spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hamilton's equations (70H05) Dynamics of a system of particles, including celestial mechanics (70F99) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of global differential geometry to the sciences (53C80) General mathematical topics and methods in quantum theory (81Q99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Hamiltonian and Lagrangian mechanics (70Hxx) Global differential geometry (53Cxx)

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