Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem

Walter Seaman

doi:10.1090/S0002-9947-1990-1005083-4

Back

Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem

Journal article

Open access

Peer reviewed

Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem

Walter Seaman

Transactions of the American Mathematical Society, Vol.321(2), pp.811-823

10/01/1990

DOI: 10.1090/S0002-9947-1990-1005083-4

Files and links (1)

url

https://doi.org/10.1090/S0002-9947-1990-1005083-4View

Published (Version of record) Open Access

Abstract

An existence and uniqueness theorem is proved for algebraic curvature tensors and then applied to yield a global geometric theorem for locally weakly quarter pinched Riemannian manifolds whose second Betti number is nonzero.

Algebra

Curvature

Eigenvalues

Existence theorems

Mathematical constants

Mathematical theorems

Riemann manifold

Symmetry

Tensors

Uniqueness

Details

Title: Subtitle: Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem
Creators: Walter Seaman
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.321(2), pp.811-823
DOI: 10.1090/S0002-9947-1990-1005083-4
ISSN: 0002-9947
eISSN: 1088-6850
Publisher: American Mathematical Society
Language: English
Date published: 10/01/1990
Academic Unit: Mathematics
Record Identifier: 9984241159402771

Metrics

9 Record Views