Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Hjem
Kategorier
Bestsellers
Kommer snart
Nyheder
FAQ
Konto
Kontakt
Kurv
  1. Bog
  2. Matematik
  3. Talteori

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Af: Peter B Gilkey Engelsk Hardback

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Af: Peter B Gilkey Engelsk Hardback
Tjek vores konkurrenters priser
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.
Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 1.115
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser
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.
Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 316
ISBN-13: 9789810247522
Indbinding: Hardback
Udgave:
ISBN-10: 9810247524
Kategori: Talteori
Udg. Dato: 20 nov 2001
Længde: 21mm
Bredde: 217mm
Højde: 159mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 20 nov 2001
Forfatter(e): Peter B Gilkey
Forfatter(e) Peter B Gilkey

Kategori Talteori

ISBN-13 9789810247522

Sprog Engelsk

Indbinding Hardback

Sider 316

Udgave

Længde 21mm

Bredde 217mm

Højde 159mm

Udg. Dato 20 nov 2001

Oplagsdato 20 nov 2001

Forlag World Scientific Publishing Co Pte Ltd

Vi anbefaler også
Rosamunde Pilcher Vejen hjem
Vejen hjem
Rosamunde Pilcher
66 kr
Kategori sammenhænge