Results 11 to 20 of about 788 (51)
Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
, 2015 We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
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Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
Complex Manifolds, 2017 Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t.
Yamada Takumi
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Isospectral deformations of closed Riemannian manifolds with different scalar curvature [PDF]
, 1997 We construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds, more precisely, on $S^n\times T^m$, where $T^m$ is a torus of dimension $m\ge 2$ and $S^n$ is a sphere of ...
Gordon, Carolyn S. +4 more
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On generalized G2-structures and T-duality [PDF]
, 2018 This is a short note on generalized G2-structures obtained as a consequence of a T-dual construction given in del Barco et al. (2017). Given classical G2-structure on certain seven dimensional manifolds, either closed or co-closed, we obtain integrable ...
del Barco, Viviana Jorgelina +1 more
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Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
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Berezin-Type Operators on the Cotangent Bundle of a Nilpotent Group [PDF]
, 2019 We define and study coherent states, a Berezin-Toeplitz quantization and covariant symbols on the product between a connected simply connected nilpotent Lie group and the dual of its Lie algebra.
A Grossmann +27 more
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Locally conformally Kähler solvmanifolds: a survey
Complex Manifolds, 2019 A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
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A metric characterization of Carnot groups
, 2014 We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically ...
Donne, Enrico Le
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, 1980 Psyche: A Journal of Entomology, Volume 87, Issue 3-4, Page 259-298, 1980.
Victor Johnson
wiley +1 more source