First Steps in Differential Geometry

DOI10.1007/978-1-4614-7732-7zbMath1283.53001OpenAlexW2498902511MaRDI QIDQ5298802

Andrew McInerney

Publication date: 14 June 2013

Published in: Undergraduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7732-7

zbMATH Keywords

Riemannian geometrysymplectic geometrydifferential geometrycontact geometry

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Contact manifolds (general theory) (53D10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Nonequilibrium thermodynamic process with hysteresis and metastable states—A contact Hamiltonian with unstable and stable segments of a Legendre submanifold ⋮ Affine geometric description of thermodynamics ⋮ Discrete Lie Derivative ⋮ On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks ⋮ Re-derivation of Laplace operator on curvilinear coordinates used for the computation of force acting in solenoid valves ⋮ Spectral Mimetic Least-Squares Methods on Curvilinear Grids ⋮ Equivalence of a harmonic oscillator to a free particle and Eisenhart lift

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