The spectral geometry of the Weyl conformal tensor

N. Blažić, et al. "The spectral geometry of the Weyl conformal tensor." Banach Center Publications 69.1 (2005): 195-203. <http://eudml.org/doc/281873>.

@article{N2005,
abstract = {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.},
author = {N. Blažić, P. Gilkey, S. Nikčević, U. Simon},
journal = {Banach Center Publications},
keywords = {conformally flat; Ivanov-Petrova manifold; Osserman manifold; skew-symmetric curvature operator; Weyl conformal tensor},
language = {eng},
number = {1},
pages = {195-203},
title = {The spectral geometry of the Weyl conformal tensor},
url = {http://eudml.org/doc/281873},
volume = {69},
year = {2005},
}

TY - JOUR
AU - N. Blažić
AU - P. Gilkey
AU - S. Nikčević
AU - U. Simon
TI - The spectral geometry of the Weyl conformal tensor
JO - Banach Center Publications
PY - 2005
VL - 69
IS - 1
SP - 195
EP - 203
AB - 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.
LA - eng
KW - conformally flat; Ivanov-Petrova manifold; Osserman manifold; skew-symmetric curvature operator; Weyl conformal tensor
UR - http://eudml.org/doc/281873
ER -