175 citations · 1.5k across the 67 of their papers we have counts for
8 papers · 1 filter
Conformal symmetry breaking operators for anti-de Sitter spaces
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
For a pseudo-Riemannian manifold and a totally geodesic hypersurface , we consider the problem of constructing and classifying all linear differential operators $\mathcal{E}…
Intrinsic sound of anti-de Sitter manifolds
Toshiyuki Kobayashi
As is well-known for compact Riemann surfaces, eigenvalues of the Laplacianbare distributed discretely and most of eigenvalues vary viewed as functions on the Teichmuller space. We…
Classification of differential symmetry breaking operators for differential forms
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
We give a complete classification of conformally covariant differential operators between the spaces of differential -forms on the sphere and -forms on the totally geod…
Conformal symmetry breaking operators for differential forms on spheres
Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
We give a complete classification of conformally covariant differential operators between the spaces of -forms on the sphere and -forms on the totally geodesic hypersph…
Visible actions on symmetric spaces
Toshiyuki Kobayashi
A visible action on a complex manifold is a holomorphic action that admits a -transversal totally real submanifold . It is said to be strongly visible if there exists an orbi…
On discontinuous group actions on non-Riemannian homogeneous spaces
Toshiyuki Kobayashi
This article gives an up-to-date account of the theory of discrete group actions on non-Riemannian homogeneous spaces. As an introduction of the motifs of this article, we begin by…
Deformation of Properly Discontinuous Actions of Z^k on R^{k+1}
Toshiyuki Kobayashi, Salma Nasrin
We consider the deformation of a discontinuous group acting on the Euclidean space by affine transformations. A distinguished feature here is that even a `small' deformation of a d…
Compact Clifford-Klein forms of symmetric spaces -- revisited
Toshiyuki Kobayashi, Taro Yoshino
This article discusses the existence problem of a compact quotient of a symmetric space by a properly discontinuous group with emphasis on the non-Riemannian case. Discontinuous gr…