03878nam 22007695 450 991029997910332120250609110055.03-319-08666-910.1007/978-3-319-08666-8(CKB)3710000000212213(Springer)9783319086668(MH)014131715-9(SSID)ssj0001297258(PQKBManifestationID)11735225(PQKBTitleCode)TC0001297258(PQKBWorkID)11362937(PQKB)11765619(DE-He213)978-3-319-08666-8(MiAaPQ)EBC5586525(Au-PeEL)EBL5586525(OCoLC)885334223(PPN)179926713(MiAaPQ)EBC1783131(EXLCZ)99371000000021221320140726d2014 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAn Introduction to Riemannian Geometry With Applications to Mechanics and Relativity /by Leonor Godinho, José Natário1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (X, 467 p. 60 illus.)online resourceUniversitext,0172-5939Bibliographic Level Mode of Issuance: Monograph3-319-08665-0 Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity.Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.Universitext,0172-5939Geometry, DifferentialMathematical physicsMechanicsGravitationDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Classical and Quantum Gravitation, Relativity Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19070Geometry, Differential.Mathematical physics.Mechanics.Gravitation.Differential Geometry.Mathematical Physics.Classical Mechanics.Classical and Quantum Gravitation, Relativity Theory.516.36Godinho Leonorauthttp://id.loc.gov/vocabulary/relators/aut721267Natário Joséauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299979103321An Introduction to Riemannian Geometry2522980UNINAThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress