Tempered subgroups and representations with minimal decay of matrix coefficients
The affine approach to homogeneous geodesics in homogeneous Finsler spaces
In the recent paper [Yan, Z.: Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension, Monatsh. Math. 182,1, 165–171 (2017)], it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. However, the proof contains a serious gap. The situation is a bit delicate, because the statement is correct. In the present paper, the incorrect part in this proof is indicated. Further, it is shown that homogeneous geodesics in homogeneous...
The Cartan model of the canonical vector bundles over the Grassmannian manifolds.
The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces.
The Classification of ...-symmetric Sasakian Manifolds.
The Curvature of SU(5)/(SP(2)XS1).
The e-invariant and the spectrum of the Lapacian for compact nilmanifolds covered by Heisenberg groups.
The filling radius of homogeneous manifolds
The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold
The geometry and topology of 3-Sasakian manifolds.
The geometry of a semi-direct extension of a Heisenberg type nilpotent group
The height function on the 2-dimensional cohomology of a flag manifold.
The Jacobi equation on naturally reductive compact Riemannian homogeneous spaces.
The Kuranishi space of complex parallelisable nilmanifolds
We show that the deformation space of complex parallelisable nilmanifolds can be described by polynomial equations but is almost never smooth. This is remarkable since these manifolds have trivial canonical bundle and are holomorphic symplectic in even dimension. We describe the Kuranishi space in detail in several examples and also analyse when small deformations remain complex parallelisable.
The -Cohomology of
The length spectrum of riemannian two-step nilmanifolds
The magnetic geodesic flow on a homogeneous symplectic manifold.
The projective interpretation of the eight 3-dimensional homogeneous geometries.
The -curvature of homogeneous -metrics.
The structure of semitopological monoids defined on compact connected 3-manifolds.