Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor - Image 1

£39.89

Scientific Publishing Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Name: Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor
Brand: Scientific Publishing
Price: 50.57 GBP
Availability: InStock

Functional Analysis

Price History & Forecast

Last 29 days • 29 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 29 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £40 (19 days, 65.5%)

Price range: £40 - £51

Price levels: 3 different prices over 29 days

Description

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor is in general quite difficult to deal with. This book presents results about the geometric consequences that follow if various natural operators defined in terms of the Riemann curvature tensor (the Jacobi operator, the skew-symmetric curvature operator, the Szabo operator, and higher order generalizations) are assumed to have constant eigenvalues or constant Jordan normal form in the appropriate domains of definition.The book presents algebraic preliminaries and various Schur type problems; deals with the skew-symmetric curvature operator in the real and complex settings and provides the classification of algebraic curvature tensors whose skew-symmetric curvature has constant rank 2 and constant eigenvalues; discusses the Jacobi operator and a higher order generalization and gives a unified treatment of the Osserman conjecture and related questions; and establishes the results from algebraic topology that are necessary for controlling the eigenvalue structures. An extensive bibliography is provided. Results are described in the Riemannian, Lorentzian, and higher signature settings, and many families of examples are displayed.

Product Specifications

Brand: Scientific Publishing
Format: hardcover
ASIN: 9810247524
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 20 November 2001
Listed Since: 05 February 2007

Barcode

No barcode data available

Scientific Publishing Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Riemannian Manifolds of Conullity Two

Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian

Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture: 30 (Studies in Advanced Mathematics)

Minimal Submanifolds in Pseudo-riemannian Geometry

Differential Geometry Of Curves And Surfaces With Singularities: 1 (Series In Algebraic And Differential Geometry)

Introduction to Differential Geometry (Springer Studium Mathematik (Master))

Curvature of Space and Time, with an Introduction to Geometric Analysis (Student Mathematical Library)

Lectures On The Geometry Of Manifolds (2Nd Edition)

LECTURES ON THE GEOMETRY OF MANIFOLDS (2ND EDITION)

Differential Geometry Of Curves And Surfaces

The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds (De Gruyter Studies in Mathematics): 64

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Symmetries of Spacetimes and Riemannian Manifolds: 487 (Mathematics and Its Applications, 487)

Analysis Of Harmonic Maps And Their Heat Flows, The

Differential Geometry in the Large: Series Number 463 (London Mathematical Society Lecture Note Series, Series Number 463)

Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applications

Differential Geometry and Lie Groups: A Computational Perspective: 12 (Geometry and Computing, 12)

Differential Geometry and Lie Groups: A Second Course: 13 (Geometry and Computing, 13)

Global Differential Geometry of Surfaces

Riemannian Geometry and Geometric Analysis: 7th edition (Universitext)

Riemannian Geometry: 171 (Graduate Texts in Mathematics, 171)

Riemannian Geometry (Universitext)