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Compact Textbooks in MathematicsDIFFERENTIAL GEOMETRY Differential Geometry / Pinkall, Ulrich (Rights reserved) (-
Oliver Gross
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geometry of differential equations
Journal of Soviet Mathematics, 1983This paper contains a survey of papers on the geometry of differential equations, which appeared no earlier than 1972, continuing the general survey (RZhMat, 1974, 11A800), and considers in more detail a special cycle of investigations of the geometry of systems of partial differential equations, distinguished by the presence of practical applications.
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On the Differential Geometry of Foliations
The Annals of Mathematics, 1960This paper has its roots in the well-known work of Reeb and its recent generalization by Reinhart [9], [10], as well as in much older, incomplete work of E. Cartan dealing with the differential-geometric structure of a foliation [3]. The general problem is to see how the structure affects the global properties of the foliation.
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Differential Forms in Synthetic Differential Geometry
International Journal of Theoretical Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lavendhomme, Rene, Nishimura, Hirokazu
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Notes on Differential Geometry
The Annals of Mathematics, 19311. By an oval we mean a convex closed curve. For the sake of simplicity the following discussion will be restricted to curves whose curvature is continuous and never vanishes, although our results can be extended, with suitable modifications, to the general case.
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Differential Geometry of Distributions
Journal of Mathematical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mechanics in Differential Geometry
2006This course and reference book is autonomous and is based on differential geometry in a practical way with symplectic geometry as a tool. Didactic comparisons, diagrams, exercises highlight modern mechanics. Principles, canonical forms, perturbations, stability, qualitative dynamics, and more precede an original Fourier transforms method.
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Discrete Differential Geometry
Computer Aided Geometric Design, 2007Mathieu Desbrun, Konrad Polthier
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