Heat content asymptotics for operators to Laplace type with Neumann boundary conditions.
The spectral geometry of the Weyl conformal tensor
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.
Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds
Isometry groups of -curvature homogeneous pseudo-Riemannian manifolds
In 2005 Gilkey and Nikčević introduced complete -curvature homogeneous pseudo-Riemannian manifolds of neutral signature , which are -modeled on an indecomposable symmetric space, but which are not -curvature homogeneous. In this paper the authors continue their study of the same family of manifolds by examining their isometry groups and the isometry groups of their -models.
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