The spectral geometry of the Weyl conformal tensor

• Autorzy: N. Blažić , P. Gilkey , S. Nikčević , U. Simon
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53B20: Local Riemannian geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 195-203

Daty

wydano

2005

Twórcy

autor

N. Blažić

• Faculty of Mathematics, University of Belgrade, Studentski Trg 16, p.p. 550, 11000 Beograd, Serbia and Montenegro

autor

P. Gilkey

• Mathematics Department, University of Oregon, Eugene, OR 97403, U.S.A.

autor

S. Nikčević

• Mathematical Institute, SANU, Knez Mihailova 35, p.p. 367, 11001 Beograd, Serbia and Montenegro

autor

U. Simon

• Fachbereich Mathematik, Technische Universität Berlin, Strasse des 17. Juni 135, D-10623 Berlin, Germany

Identyfikatory

DOI

10.4064/bc69-0-15