Some theorems on recurrent and Ricci-recurrent spaces
Manindra Chandra Chaki (1956)
Rendiconti del Seminario Matematico della Università di Padova
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Manindra Chandra Chaki (1956)
Rendiconti del Seminario Matematico della Università di Padova
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Leitner, Felipe
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James W. Jr. York (1974)
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Prvanović, Mileva (1991)
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Mihai, I., Verstraelen, L., Rosca, R. (1996)
International Journal of Mathematics and Mathematical Sciences
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Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Banach Center Publications
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We study when the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit spacelike or timelike tangent vectors. This leads to questions in the conformal geometry of pseudo-Riemannian manifolds which generalize the Osserman conjecture to this setting. We also study similar questions related to the skew-symmetric curvature operator defined by the Weyl conformal curvature tensor.