Almost hermitian manifolds and Osserman condition
Copyright policy )Almost hermitian manifolds and Osserman condition
The aim of this work is to extend a previous result of \textit{Q.-S. Chi} [J. Differ. Geom. 28, 187-202 (1988; Zbl 0654.53053)] which shows that Osserman Kähler manifolds are complex space forms provided that the holomorphic sectional curvature is nonpositive or nonnegative. Therefore, the authors investigate the sign of the holomorphic sectional curvature of almost Hermitian manifolds in connection with the Osserman problem. This is carried out by considering the Jacobi operator associated to the holomorphic curvature tensor under some assumptions such us the almost Hermitian manifold to be an RK-manifold of constant type see \textit{L. Vanhecke} [Univ. Politec. Torino, Rend. Semin. Math. 34 (1975-76), 21-38 (1976; Zbl 0343.53018)] for the definitions).
nonnegatively pinched, holomorphic curvature, Local differential geometry of Hermitian and Kählerian structures, Osserman manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), Global Riemannian geometry, including pinching
nonnegatively pinched, holomorphic curvature, Local differential geometry of Hermitian and Kählerian structures, Osserman manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), Global Riemannian geometry, including pinching
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!