Loosely speaking the riemannian geometry studies the properties of surfaces manifolds made of canvas these are manifolds with an extra structure arising naturally in many instances on such manifolds one can speak of the length of a curve and the angle between two smooth curves in particular we will study the problem formulated in chapter 1 why a plane flat canvas disk cannot . Geometry topology local global we had to develop many algebraico topological techniques in the special context of smooth manifolds we spent a big portion of this book discussing the derham cohomology and its ramifications poincare duality intersection theory degree theory thom isomorphism characteristic classes gauss bonnet etc. Lectures on the geometry of manifolds 2nd edition nicolaescu liviu i isbn 9789812708533 kostenloser versand fur alle bucher mit versand und verkauf duch amazon
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