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Nambu-Poisson Tensors on Lie Groups

Nobutada Nakanishi (2000)

Banach Center Publications

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

F. Tricerri, L. Vanhecke (1984)

Compositio Mathematica

Naturally reductive homogeneous $(α, β)$ -metric spaces

M. Parhizkar, H.R. Salimi Moghaddam (2021)

Archivum Mathematicum

In the present paper we study naturally reductive homogeneous $(α, β)$ -metric spaces. We show that for homogeneous $(α, β)$ -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 $(α, β)$ -metric spaces.

New Einstein metrics on $Sp (n)$ which are non-naturally reductive

Shaoxiang Zhang, Huibin Chen (2022)

Czechoslovak Mathematical Journal

We prove that there are at least two new non-naturally reductive $Ad (Sp (l) \times Sp (k) \times Sp (k) \times Sp (k))$ invariant Einstein metrics on $Sp (l + 3 k)$ $(k < l)$ . It implies that every compact simple Lie group $Sp (n)$ ...

New Examples of Weakly Symmetric Spaces.

L. Vanhecke, J.C. González-Dávila (1998)

Monatshefte für Mathematik

Nilmanifolds with Carnot-Carathéodory metrics.

Dontsov, V. V. (2000)

Zapiski Nauchnykh Seminarov POMI

Nilvariétés projectives.

Yves Benoist (1994)

Commentarii mathematici Helvetici

Noncoercive differential operators on homogeneous manifolds of negative curvature and their Green functions

Roman Urban (2001)

Colloquium Mathematicae

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

A. G. Reznikov (1992)

Compositio Mathematica

Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues

Oldřich Kowalski (1993)

Commentationes Mathematicae Universitatis Carolinae

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.

Nikitenko, E.V (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Displaying 1 – 11 of 11

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