On conformally flat spaces with definite Ricci curvature. I.

DOI10.2996/kmj/1138845885zbMath0176.19201OpenAlexW2061162653WikidataQ125793721 ScholiaQ125793721MaRDI QIDQ5566246

Samuel I. Goldberg

Publication date: 1969

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138845885

zbMATH Keywords

differential geometry

Related Items (10)

Isometry theorem of gradient shrinking Ricci solitons ⋮ A contribution to the geometry in the large of conformal diffeomorphisms ⋮ Conformally Flat Spaces and a Pinching Problem on the Ricci Tensor ⋮ On the Euler characteristic of Einstein manifolds of dimension six with negativepinched sectional curvature ⋮ On conformally flat spaces with definite Ricci curvature. II. ⋮ Symplectic structure and reduction on the space of Riemannian metrics ⋮ Kaehlerian manifolds with vanishing Bochner curvature tensor ⋮ Euler characteristics of some six-dimensional Riemannian manifolds ⋮ On conformally flat manifolds with constant positive scalar curvature ⋮ 4-dimensional conformally flat Kähler manifolds

Cites Work

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• On a conformally flat Riemannian space with positive Ricci curvature
• On the Holonomy Group of the Conformally Flat Riemannian Manifold
• Some Implications of the Generalized Gauss-Bonnet Theorem
• Curvature and Betti Numbers. (AM-32)

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