Spaces of constant para-holomorphic sectional curvature
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In this article, the general expression of the metric and almostproduct structure in normal coordinates for para-Kaehlerian manifolds of constant para-holomorphic sectional curvature was studied.Abstract:
We consider the sectional curvatures for metric (J4 = 1)-manifolds, and study particularly the general expression of the metric and almostproduct structure in normal coordinates for para-Kaehlerian manifolds of constant para-holomorphic sectional curvature. We also introduce models of such spaces.read more
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Sur le problème d'équivalence de certaines structures infinitésimales
TL;DR: In this paper, the authors define the structures infinitesimales regulieres, i.e., the equivalence of two infiniteimales structures in terms of their connexions affines a de telles structures.
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On sectional curvature of indefinite metrics. II
Marcos Dajczer,Katsumi Nomizu +1 more
TL;DR: In this article, it was shown that the condition (R(X, Y)Z,X)=0 whenever X, Y, Z are orthonormal vectors implies that all nondegenerate planes have the same sectional curvature.