Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

von: Katz Gabriel Katz

CHF 445.56

Verlag: World Scientific Publishing
Format: PDF
Veröffentl.: 21.08.2019
ISBN/EAN: 9789814368766
Sprache: englisch
Anzahl Seiten: 516

DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.


This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary of the manifold, are surprisingly rich. This geometric setting leads organically to many encounters with Singularity Theory, Combinatorics, Differential Topology, Differential Geometry, Dynamical Systems, and especially with the boundary value problems for ordinary differential equations. This diversity of connections animates the book and is the main motivation behind it.The book is divided into two parts. The first part describes the flows in three dimensions. It is more pictorial in nature. The second part deals with the multi-dimensional flows, and thus is more analytical. Each of the nine chapters starts with a description of its purpose and main results. This organization provides the reader with independent entrances into different chapters.

Diese Produkte könnten Sie auch interessieren:

Was kommt nach dem Klimawandel?  (Telepolis)
Was kommt nach dem Klimawandel? (Telepolis)
von: Jörg Phil Friedrich
EPUB ebook
CHF 5.50
Wenn Marionetten einsam sterben
Wenn Marionetten einsam sterben
von: Anne Gold
EPUB ebook
CHF 11.00
Der Maulwurf
Der Maulwurf
von: Dani von Wattenwyl
EPUB ebook
CHF 12.00