A Classification of Special Riemannian 3-Manifolds with Distinct Constant Ricci Eigenvalues | Zendy

Oldřich Kowalski | Zendy; Friedbert Prüfer | Zendy

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A Classification of Special Riemannian 3-Manifolds with Distinct Constant Ricci Eigenvalues

Author(s) -

Oldřich Kowalski,

Friedbert Prüfer

Publication year - 1995

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/662

Subject(s) - mathematics , ricci curvature , homogeneous , pure mathematics , constant (computer programming) , eigenvalues and eigenvectors , curvature of riemannian manifolds , ricci flat manifold , mathematical analysis , riemannian geometry , sectional curvature , scalar curvature , combinatorics , geometry , physics , computer science , curvature , quantum mechanics , programming language

All Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying some additional geometrical conditions are classified in an explicit form. One obtains locally homogeneous spaces and two different classes of locally non-homogeneous spaces in this way.

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