JOURNAL ARTICLE

Separability in Riemannian Manifolds

Sergio BenentiSergio Benenti

Year: 2016 Journal:   Symmetry Integrability and Geometry Methods and Applications   Publisher: National Academy of Sciences of Ukraine

Abstract

An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.

Keywords:
Mathematics Riemannian geometry Pure mathematics Hamiltonian (control theory) Curvature of Riemannian manifolds Ricci-flat manifold Hamiltonian system Mathematical analysis Scalar curvature Sectional curvature Geometry Mathematical optimization Curvature

Metrics

29
Cited By
1.40
FWCI (Field Weighted Citation Impact)
60
Refs
0.85
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Quantum chaos and dynamical systems
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
Advanced Algebra and Geometry
Physical Sciences →  Mathematics →  Mathematical Physics
Nonlinear Waves and Solitons
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics

Related Documents

BOOK-CHAPTER

Separability structures on riemannian manifolds

Sergio Benenti

Lecture notes in mathematics Year: 1980 Pages: 512-538
JOURNAL ARTICLE

Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds

Maciej B aszakKrzysztof Marciniak

Journal:   Journal of Physics A Mathematical and General Year: 2003 Vol: 36 (5)Pages: 1337-1356
JOURNAL ARTICLE

Separable dynamical systems: Characterization of separability structures on Riemannian manifolds

Sergio Benenti

Journal:   Reports on Mathematical Physics Year: 1977 Vol: 12 (3)Pages: 311-316
BOOK-CHAPTER

RIEMANNIAN MANIFOLDS

Total mean curvature and submanifolds of finite type Year: 1985 Pages: 1-60
BOOK

Riemannian Manifolds

John M. Lee

Graduate texts in mathematics Year: 1997
© 2026 ScienceGate Book Chapters — All rights reserved.