Cohomology and Differential Forms
júl. 2016 · Courier Dover Publications
Rafbók
304
Síður
reportEinkunnir og umsagnir eru ekki staðfestar Nánar
Um þessa rafbók
This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi, the treatment is suitable for advanced undergraduates and graduate students of mathematics as well as mathematical researchers in differential geometry, global analysis, and topology.
A self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.
A self-contained development of cohomological theory constitutes the central part of the book. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. The final chapter covers the theorems of de Rham and Dolbeault-Serre and examines the theorem of Allendoerfer and Eells, with applications of these theorems to characteristic classes and the general theory of harmonic forms.
Um höfundinn
Izu Vaisman is Professor Emeritus of Mathematics at the University of Haifa. His research areas are differential geometry and symplectic manifolds, and his other books include Analytical Geometry, Foundations of Three Dimensional Euclidean Geometry, and A First Course in Differential Geometry.
Gefa þessari rafbók einkunn.
Segðu okkur hvað þér finnst.
Upplýsingar um lestur
Snjallsímar og spjaldtölvur
Settu upp forritið Google Play Books fyrir Android og iPad/iPhone. Það samstillist sjálfkrafa við reikninginn þinn og gerir þér kleift að lesa með eða án nettengingar hvar sem þú ert.
Fartölvur og tölvur
Hægt er að hlusta á hljóðbækur sem keyptar eru í Google Play í vafranum í tölvunni.
Lesbretti og önnur tæki
Til að lesa af lesbrettum eins og Kobo-lesbrettum þarftu að hlaða niður skrá og flytja hana yfir í tækið þitt. Fylgdu nákvæmum leiðbeiningum hjálparmiðstöðvar til að flytja skrár yfir í studd lesbretti.
