Spaces of constant para-holomorphic sectional curvature

Pedro Martinez Gadea and Ángel María Montesinos-Amilibia

Vol. 136 (1989), No. 1, 85–101

DOI: 10.2140/pjm.1989.136.85

Abstract

We consider the sectional curvatures for metric (J⁴ = 1)-manifolds, and study particularly the general expression of the metric and almost-product structure in normal coordinates for para-Kaehlerian manifolds of constant para-holomorphic sectional curvature. We also introduce models of such spaces.

Mathematical Subject Classification 2000

Primary: 53C15

Milestones

Received: 7 June 1987

Published: 1 January 1989