Cohomology and Differential Forms Dover BookIzu Vaisman
Cohomology and Differential Forms Dover BookIzu Vaisman This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Topics include…
Specifikacia Cohomology and Differential Forms Dover BookIzu Vaisman
Cohomology and Differential Forms Dover BookIzu Vaisman
This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Topics include categories and functors, the Čech cohomology with coefficients in sheaves, the theory of fiber bundles, and differentiable, foliated, and complex analytic manifolds. 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.
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
Differential Forms
Geometry of Differential Forms
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