H-Principles and Flexibility in Geometry (Memoirs of the American Mathematical Society, Band 779) - Softcover

Geiges, Hansjorg

Softcover

ISBN 10: 0821833154 ISBN 13: 9780821833155

Verlag: American Mathematical Society, 2003

Inhaltsangabe

The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include Hirsch-Smale immersion theory, Nash-Kuiper $C^1$-isometric immersion theory, existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications Hirsch-Smale immersion theory, and existence of symplectic and contact structures on open manifolds.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2003
• Sprache: Englisch
• ISBN 10: 0821833154
• ISBN 13: 9780821833155
• Einband: Taschenbuch
• Anzahl der Seiten: 58
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar