Aspects of Differential Geometry I

DOI10.2200/S00632ED1V01Y201502MAS015zbMath1354.53001OpenAlexW4252873746WikidataQ115230320 ScholiaQ115230320MaRDI QIDQ5177936

Jeong Hyeong Park, Peter B. Gilkey, Ramón Vázquez-Lorenzo

Publication date: 9 March 2015

Published in: Synthesis Lectures on Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2200/s00632ed1v01y201502mas015

zbMATH Keywords

Riemannian geometryStokes' theoremGauss-Bonnet theoremgeodesicpartitions of unityRiemann integralimplicit function theoremLevi-Civita connectionGauss's theorempseudo-Riemannian geometryinverse function theoremFubini's theoremimproper integralsGreen's theoremchange of variable theorem

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Differentiable manifolds, foundations (58A05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Functions of several variables (26B99)

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