Differential geometry on complex and almost complex spaces.
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Differential geometry on complex and almost complex spaces.

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Published by Pergamon in Oxford .
Written in English

Book details:

Edition Notes

SeriesInternational series of monographs in pure and applied mathematics -- 49
The Physical Object
Number of Pages323
ID Numbers
Open LibraryOL19512339M

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Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in prideinpill.com theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century. Get this from a library! Differential geometry on complex and almost complex spaces. [Kentarō Yano]. Additional Physical Format: Online version: Yano, Kentarō, Differential geometry on complex and almost complex spaces. New York, Macmillan, In mathematics, a complex differential form is a differential form on a manifold (usually a complex manifold) which is permitted to have complex coefficients.. Complex forms have broad applications in differential prideinpill.com complex manifolds, they are fundamental and serve as the basis for much of algebraic geometry, Kähler geometry, and Hodge theory.

In mathematics, an almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space. Every complex manifold is an almost complex manifold, but there are almost complex manifolds that are not complex manifolds. Almost complex structures have important applications in symplectic geometry. Differential Geometry in Toposes. This note explains the following topics: From Kock–Lawvere axiom to microlinear spaces, Vector bundles,Connections, Affine space, Differential forms, Axiomatic structure of the real line, Coordinates and formal manifolds, Riemannian structure, Well-adapted topos models. ( views) Complex Analytic and Differential Geometry by Jean-Pierre Demailly - Universite de Grenoble, Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc. Jan 01,  · The theory of complex manifolds overlaps with several branches of mathematics, including differential geometry, algebraic geometry, several complex variables, global analysis, topology, algebraic number theory, and mathematical physics. Complex manifolds provide a rich class of geometric objects, for example the (common) zero locus of any generic set of complex polynomials is always a .

The first part of the book treats complex analytic geometry (complex space germs) and the second their deformation theory. There's also a survey paper by Palamodov "Deformations of complex spaces" in Encyclopedia of Mathematics (Springer) which treats some foundational material as well. Good luck! Vector Bundles and Homogeneous Spaces 7 This Symposium on Differential Geometry was organized as a focal point for the discussion of new trends in research. As can be seen from a quick glance Almost complex, 22 Almost-product structure, 94 Artin-Rees . Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology. Dec 28,  · Yes, I have read it. From cover to cover. This book is one of _the_ classics in differential geometry. It is the first and to date only book presenting the complete structure theory and classification of Riemannian symmetric spaces, together with the complete fundamentals in differential geometry and Lie groups needed to develop it.4/5.