Download e-book for iPad: Maximum Principles and Geometric Applications (Springer by Luis J. Alías,Paolo Mastrolia,Marco Rigoli

By Luis J. Alías,Paolo Mastrolia,Marco Rigoli

ISBN-10: 3319243357

ISBN-13: 9783319243351

This monograph provides an advent to a few geometric and analytic features of the utmost precept. In doing so, it analyses with nice aspect the mathematical instruments and geometric foundations had to increase many of the new kinds which are provided within the first chapters of the ebook. specifically, a generalization of the Omori-Yau greatest precept to a large category of differential operators is given, in addition to a corresponding susceptible greatest precept and its an identical open shape and parabolicity as a different more advantageous formula of the latter. 
In the second one half, the eye specializes in a variety of purposes, regularly to geometric difficulties, but in addition on a few analytic (especially PDEs) questions together with: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian ambitions, Ricci solitons, Liouville theorems, area of expertise of recommendations of Lichnerowicz-type PDEs and so on.
Maximum ideas and Geometric Applications is written in a simple sort making it available to newbies. The reader is guided with an in depth presentation of a few issues of Riemannian geometry which are often no longer lined in textbooks. in addition, a number of the effects or even proofs of identified effects are new and bring about the frontiers of a modern and energetic box of research.

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Maximum Principles and Geometric Applications (Springer Monographs in Mathematics) by Luis J. Alías,Paolo Mastrolia,Marco Rigoli

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