Riemannian manifold in which the skew-symmetric curvature operator has pointwise constant eigenvalues

DOI10.1023/A:1005014507809zbMath0903.53016MaRDI QIDQ1388154

Stefan Ivanov, Irina Petrova

Publication date: 4 January 1999

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

classification3-manifolds4-manifoldsskew-symmetric curvature operatorpointwise constant eigenvalues

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local Riemannian geometry (53B20)

Related Items (8)

Riemannian manifolds whose curvature operator R(X, Y) has constant eigenvalues ⋮ Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators ⋮ Complex Osserman Kähler manifolds in dimension four ⋮ Three-dimensional Ivanov–Petrova manifolds ⋮ Curvature models of conformally flat Walker (2,2)-manifolds ⋮ Vector bundles over Grassmannians and the skew-symmetric curvature operator ⋮ Applications of algebraic topology in bounding the rank of the skew-symmetric curvature operator ⋮ Projective affine Osserman curvature models

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