Titlebook: Riemannian Geometry; Sylvestre Gallot,Dominique Hulin,Jacques Lafontain Textbook 19902nd edition Springer-Verlag Berlin Heidelberg 1990 Mi

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Riemannian Submanifolds,In this chapter, we study the relations between the Riemannian Geometry of a submanifold and that of the ambiant space. It is well known that surfaces of the Euclidean space were the first examples of Riemannian manifolds to be studied. In fact, the first truly Riemannian geometry result is due to Gauss, and roughly says the following.

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https://doi.org/10.1007/978-3-642-97242-3Minimal surface; Riemannian geometry; Riemannian goemetry; covariant derivative; curvature; manifold; rela

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0172-5939 surfaces. Here we begin directly with the so-called "abstract" manifolds. To illustrate our point of view, a series of examples is developed each time a new def978-3-642-97242-3Series ISSN 0172-5939 Series E-ISSN 2191-6675

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Sylvestre Gallot,Dominique Hulin,Jacques Lafontainee stable under acid hydrolysis.. In the course of our effort to isolate a digitalis-like subtances in rat urine with inhibition of ouabain-sensitive Na.,K.-ATPase as a marker, we found a low molecular weight (ultarfiltrable through Amicon YC05) substance which inhibited Na.,K.-ATPase was stable to a

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er, its application in guanidine synthesis has also been proved. Examples of the preparation of guanidines using cyanamides that react with derivatised amines as well as the use of copper-catalysed cross-coupling chemistry are also presented. Moreover, cyclic guanidines such as 2-aminoimidazolines (

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Sylvestre Gallot,Dominique Hulin,Jacques Lafontaine