By Jorge Pereira,Luc Pirio
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This ebook surveys the differential geometry of types with degenerate Gauss maps, utilizing relocating frames and external differential kinds in addition to tensor tools. The authors illustrate the constitution of sorts with degenerate Gauss maps, be sure the singular issues and singular forms, locate focal photographs and build a category of the types with degenerate Gauss maps.
This quantity includes the invited contributions from talks brought within the Fall 2011 sequence of the Seminar on Mathematical Sciences and functions 2011 at Virginia country college. members to this quantity, who're best researchers of their fields, current their paintings in how to generate actual interdisciplinary interplay.
This can be a ebook on Euclidean geometry that covers the traditional fabric in a totally new means, whereas additionally introducing a couple of new themes that may be appropriate as a junior-senior point undergraduate textbook. the writer doesn't commence within the conventional demeanour with summary geometric axioms. as a substitute, he assumes the genuine numbers, and starts his remedy via introducing such smooth options as a metric area, vector area notation, and teams, and therefore lays a rigorous foundation for geometry whereas whilst giving the scholar instruments that would be worthwhile in different classes.
A Fête of Topology: Papers devoted to Itiro Tamura makes a speciality of the development within the techniques, methodologies, and methods concerned about topology, together with foliations, cohomology, and floor bundles. The booklet first takes a glance at leaf closures in Riemannian foliations and differentiable singular cohomology for foliations.
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