Nonexistence of 4-dimensional almost Kaehler manifolds of constant curvature

David E. Blair

doi:10.1090/s0002-9939-1990-1043404-2

ScienceGate Book Chapters

JOURNAL ARTICLE

Nonexistence of 4-dimensional almost Kaehler manifolds of constant curvature

David E. Blair

Year: 1990 Journal: Proceedings of the American Mathematical Society Vol: 110 (4)Pages: 1033-1039 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9939-1990-1043404-2

Get Full-Text PDF Get Analytical Report

Abstract

It is shown that in dimension 4 there are no almost Kaehler manifolds of constant curvature unless the constant is 0, in which case the manifold is Kaehlerian. This was previously shown in dimensions ≥ 8 \geq 8 by Z. Olszak and remains open in dimension 6.

Keywords:

Dimension (graph theory) Constant (computer programming) Manifold (fluid mechanics) Curvature Semantics (computer science) Mathematics Computer science Pure mathematics Geometry

Metrics

Cited By

0.00

FWCI (Field Weighted Citation Impact)

Refs

0.23

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Algebraic and Geometric Analysis

Physical Sciences → Mathematics → Applied Mathematics

Holomorphic and Operator Theory

Physical Sciences → Mathematics → Applied Mathematics

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Nonexistence of 4-dimensional almost Kaehler manifolds of constant curvature

Abstract

Metrics

Citation History

Topics

Related Documents

Nonexistence of 4-Dimensional Almost Kaehler Manifolds of Constant Curvature

Curvature Of Almost Split Quaternion Kaehler Manifolds

Compact Kaehler manifolds with constant generalized scalar curvature

On almost Kahler manifolds of constant curvature

Integrability of almost Kaehler manifolds