61 citations · 89 across the 16 of their papers we have counts for
21 papers
Geodesic orbit pseudo-Riemannian -type nilmanifolds
Kenro Furutani, Irina Markina, Yurii Nikonorov
A pseudo-Riemannian manifold is called geodesic orbit (GO) if every geodesic is an orbit of a one-parameter group of isometries. For Riemannian -type groups, the GO property was…
Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
Kenro Furutani, Irina Markina, Yurii Nikonorov
We investigate the geodesic orbit property of pseudo-Riemannian nilmanifolds, specifically those known in the literature as pseudo -type Lie groups -- i.e., 2-step nilpotent Lie…
Invariant integral structures in pseudo -type Lie algebras: construction and classification
Kenro Furutani, Irina Markina
Pseudo -type Lie algebras are a special class of 2-step nilpotent metric Lie algebras, intimately related to Clifford algebras $\Cl_{r,s}$. In this work we propose the classific…
Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane
Kurando Baba, Kenro Furutani
Our purpose is to show the existence of a Calabi-Yau structure on the punctured cotangent bundle of the Cayley projective plane and to…
Spectral theory of a class of nilmanifolds attached to clifford modules
Wolfram Bauer, Kenro Furutani, Chisato Iwasaki +1
We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-diffeomorphic nilmanifolds with respect to the sub-Laplacian.…
Automorphism groups of pseudo -type algebras
Kenro Furutani, Irina Markina
In the present paper, we determine the group of automorphisms of pseudo -type Lie algebras, which are two-step nilpotent Lie algebras closely related to the Clifford algebras $\…