Last edited by Gole
Thursday, July 23, 2020 | History

9 edition of Curvature and homology found in the catalog.

Curvature and homology

by Samuel I. Goldberg

Written in English

Subjects:
• Curvature.,
• Homology theory.,
• Geometry, Riemannian.

• Edition Notes

Includes bibliographical references (p. 383-386) and indexes.

Classifications The Physical Object Statement Samuel I. Goldberg. LC Classifications QA645 .G6 1998 Pagination xvii, 395 p. ; Number of Pages 395 Open Library OL362036M ISBN 10 048640207X LC Control Number 98022211

Membrane curvature is the geometrical measure or characterization of the curvature of membranes can be naturally occurring or man-made (synthetic). An example of naturally occurring membrane is the lipid bilayer of cells, also known as cellular membranes. Synthetic membranes can be obtained by preparing aqueous solutions of certain lipids. The book will form a valuable addition to the algebraist's library. D. E RUTHERFOR. D GOLDBERG, s. i. Curvature, and Homology (Academic Press, ), xvii+ pp., 68s. This book is a graduate text and the reader is assumed to have some knowledge of Riemannian geometry, Lie groups, and the elements of analytic and algebraic topology.

Cohomology,Connections, Curvature and Characteristic Classes by David Mond. Download Book (Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites owned by authors and publishers. About this Item: Holt, Rinehart and Winston, Athena Series, Selected Topics in Mathematics, 1st edition Book Condition, Etat: Bon hardcover, editor's blue binding grand In-8 1 vol. - 95 pages Contents, Chapitres: Preface, Contents, vii, Text, 88 pages - Basic concepts - Everybody splits - Complexes, homology, and ext - Various dimensions - Duality and quasi-Frobenius rings - Index no.

It also provides a short survey of recent developments in digital geometry processing and discrete differential geometry. Topics include: curves and surfaces, curvature, connections and parallel transport, exterior algebra, exterior calculus, Stokes' theorem, simplicial homology, de Rham cohomology, Helmholtz-Hodge decomposition, conformal. I am not an expert, but there seems to be an enormous technical difference between algebraic geometry and differential/metric geometry stemming from the fact that there is apparently no such thing as curvature in the former context while curvature is everywhere in the latter (indeed, it is hard to produce nontrivial results in Riemannian geometry that DON'T involve curvature).

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In chapter 6, the author studies in detail how curvature and homology are related for the case of Kaehler manifolds. The results in this chapter could be viewed as a generalization of the classical results concerning compact Riemann surfaces, namely that the universal covering space of a complex n-dimensional compact Kaehler manifold of /5(3).

This book could be loosely characterized as an attempt to generalize the theory of Riemann surfaces to that of Riemannian manifolds.

The reader familiar with the theory of Riemann surfaces will perhaps find this book easier to read than one who has not. the author studies in detail how curvature and homology are related for the case of /5.

Book Description Paperback. Condition: New. Paperback. A systematic and self-contained treatment, this revised edition examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, ng may be from multiple locations in the US or from the UK, depending on stock availability.

pages. /5(2). The purpose of this book is to give a systematic and self-contained account of modern developments in curvature and homology. It is intended for a reader who had taken standard courses in linear algebra, real and complex variables, differential equations, ans point-set topology.

Additional Physical Format: Online version: Goldberg, Samuel I. Curvature and homology. New York: Dover Publications,© (OCoLC) PREFACE TO T H E ENLARGED EDITION Originally, in the first edition of this work, it was the author's purpose to provide a self-contained treatment of Curvature and Homology.

A mathematical treatment of such topics as Riemannian manifolds and their homology, the topology of differentiable manifolds, compact Lie groups, complex manifolds, and the curvature and homology of Kaehler manifolds.

Annotation c. by Book News, Inc., Portland, Or/5(2). A mathematical treatment of such topics as Riemannian manifolds and their homology, the topology of differentiable manifolds, compact Lie groups, complex manifolds, and the curvature and homology of Kaehler manifolds.

Annotation c. by Book News, Inc., Portland, Or. BooknewsBrand: Dover Publications. Systematic, self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds.

"A valuable survey." &#; Nature. edition. ogy of differentiate manifolds, curvature and homology of Riemannian man-ifolds, compact Lie groups, complex manifolds, and the curvature and homology of Kaehler manifolds.

In addition to a new preface, this edition includes five new appendices con-cerning holomorphic bisectional curvature, the Gauss-Bonnet theorem, someFile Size: 7MB. There is an algebraic topology book that specializes particularly in homology theory-namely, James Vick's Homology Theory:An Introduction To Algebraic does a pretty good job of presenting singular homology theory from an abstract,modern point of view, but with plenty of pictures.

This monograph developed out of the Abendseminar of at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles.

It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra. : Connections, Curvature, and Cohomology. Vol. 2: Lie Groups, Principal Bundles, and Characteristic Classes (Pure and Applied Mathematics Series; v.

II) () by Werner Hildbert Greub; Stephen Halperin; Ray Vanstone and a great selection of similar New, Used and Collectible Books available now at great Range: $-$ Thus the curvature can be viewed as “the difference between $${w}$$ and its parallel transport around the boundary of the surface defined by its arguments.” The above depicts how $${\check{R}\left(u,v\right)\vec{w}}$$ is “the difference between $${w}$$ and its parallel transport around the boundary of the surface defined by its arguments.”.

This integral can thus be viewed as a mapping from a de Rham cohomology coset represented by the closed $${k}$$-form $${\varphi}$$ to the real functions on a homology coset represented by.

Cohomology,Connections, Curvature and Characteristic Classes. This note explains the following topics: Cohomology, The Mayer Vietoris Sequence, Compactly Supported Cohomology and Poincare Duality, The Kunneth Formula for deRham Cohomology, Leray-Hirsch Theorem, Morse Theory, The complex projective space.

Curvature, diameter, homotopy groups, and cohomology rings Fang, Fuquan and Rong, Xiaochun, Duke Mathematical Journal, ; Positive scalar curvature and low-degree group homology Bárcenas, Noé and Zeidler, Rudolf, Annals of K-Theory, ; Maximal Diameter Sphere Theorem for Manifolds with Nonconstant Radial Curvature BOONNAM, Nathaphon, Tokyo Journal of Mathematics, Cited by: Systematic, self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds.

"A valuable survey." -- Nature. edition. The first half of the book is an introduction to the de Rham cohomology, going through the construction and establishing some basic properties.

The style is comparable to how (co)homology is introduced in an introductory algebraic topology text, except that it slowly introduces the theory of.

Curvature and Characteristic Classes. Authors; Johan L. Dupont; Book. 49 Citations; k Downloads; Part of the Lecture Notes in Mathematics book series (LNM, volume ) Log in to check access. Buy eBook. USD Buy eBook Manifold Morphism curvature homology.

Bibliographic information. DOI. Notes On The Course Algebraic Topology. This note covers the following topics: Important examples of topological spaces, Constructions, Homotopy and homotopy equivalence, CW -complexes and homotopy, Fundamental group, Covering spaces, Higher homotopy groups, Fiber bundles, Suspension Theorem and Whitehead product, Homotopy groups of CW -complexes, Homology groups, Homology groups of.

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Book • Edited by: R.J. Daverman and R.B. Sher. Browse book content. About the book. Search in this book. Metric Spaces of Curvature ⩾ k. Book chapter Full text access.

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