Nambu-Poisson Tensors on Lie Groups
First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.
Naturally reductive homogeneous spaces and generalized Heisenberg groups
Naturally reductive homogeneous -metric spaces
In the present paper we study naturally reductive homogeneous -metric spaces. We show that for homogeneous -metric spaces, under a mild condition, the two definitions of naturally reductive homogeneous Finsler space, given in the literature, are equivalent. Then, we compute the flag curvature of naturally reductive homogeneous -metric spaces.
New Einstein metrics on which are non-naturally reductive
We prove that there are at least two new non-naturally reductive invariant Einstein metrics on . It implies that every compact simple Lie group ...
New Examples of Weakly Symmetric Spaces.
Nilmanifolds with Carnot-Carathéodory metrics.
Nilvariétés projectives.
Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions
We obtain upper and lower estimates for the Green function for a second order noncoercive differential operator on a homogeneous manifold of negative curvature.
Non-commutative Gauss map
Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues
We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-manifolds as in the title. Some of these examples have an interesting geometrical interpretation.
Non-standard Einstein extensions of five dimensional nilpotent metric Lie algebras.