Caractéristiques locales des semi-martingales et changements de probabilités
Charakterisierung symmetrischer R-Räume durch ihre Einheitsgitter.
Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group.
Classification of -dimensional homogeneous weakly Einstein manifolds
Y. Euh, J. Park and K. Sekigawa were the first authors who defined the concept of a weakly Einstein Riemannian manifold as a modification of that of an Einstein Riemannian manifold. The defining formula is expressed in terms of the Riemannian scalar invariants of degree two. This concept was inspired by that of a super-Einstein manifold introduced earlier by A. Gray and T. J. Willmore in the context of mean-value theorems in Riemannian geometry. The dimension is the most interesting case, where...
Classification of 4-dimensional homogeneous D'Atri spaces
The property of being a D’Atri space (i.e., a space with volume-preserving symmetries) is equivalent to the infinite number of curvature identities called the odd Ledger conditions. In particular, a Riemannian manifold satisfying the first odd Ledger condition is said to be of type . The classification of all 3-dimensional D’Atri spaces is well-known. All of them are locally naturally reductive. The first attempts to classify all 4-dimensional homogeneous D’Atri spaces were done in the papers...
Classification of compact complex homogeneous spaces with invariant volumes.
Classification of compact homogeneous pseudo-Kähler manifolds.
Classification of compact homogeneous spaces with invariant symplectic structures.
Classification of generalized affine symmetric spaces of dimension n ≤ 4 [Book]
Classification of homogeneous submanifolds in homogeneous spaces.
Classification of locally projectively homogeneous torsion-less affine connections in the plane domains.
Closed Geodesics on Homogeneous Spaces.
Closed similarity manifolds.
Cohomology of biquotients.
Collective geodesic flows
We show that most compact semi-simple Lie groups carry many left invariant metrics with positive topological entropy. We also show that many homogeneous spaces admit collective Riemannian metrics arbitrarily close to the bi-invariant metric and whose geodesic flow has positive topological entropy. Other properties of collective geodesic flows are also discussed.
Compact fiberings of homogeneous spaces. I
Compact Quadratic s-Manifolds
Compact Quotients of Homogeneous Negatively Curved Riemannian Manifolds.
Compact Riemannian manifolds with homogeneous geodesics.
Comparison of metrics on three-dimensional Lie groups
We study local equivalence of left-invariant metrics with the same curvature on Lie groups and of dimension three, when is unimodular and is non-unimodular.