Results 11 to 20 of about 56 (53)
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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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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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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, 1980 Psyche: A Journal of Entomology, Volume 87, Issue 3-4, Page 259-298, 1980.
Victor Johnson
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Magnetic microparticles as a new tool for lake restoration: A microcosm experiment for evaluating the impact on phosphorus fluxes and sedimentary phosphorus pools [PDF]
, 2016 In the last decades, magnetic particles (MPs) as adsorbents have gained special attention due to their high adsorption capacity and the possibility of recovering them by applying a magnetic separation gradient.
Vicente Álvarez-Manzaneda, Juan De +4 more
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Pompeiu Sets in Compact Heisenberg Manifolds
, 1999 A necessary and sufficent condition is presented for a set to be a Pompeiu subset of any compact homogeneous space with a finite invariant measure. The condition, which is expressed in terms of the intertwining operators of each primary summand of the ...
Leonard F. Richardson +3 more
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Observability on the classes of non-nilpotent solvable three-dimensional Lie groups
Open MathematicsIn control theory, researchers need to understand a system’s local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space defined by an ...
Ayala Victor +2 more
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Analysis and Geometry in Metric SpacesIn the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
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On The Controllability of Some Systems on Lie Groups
, 2022 Linear control systems on matrix Lie groups have an important place in terms of their application to real-life problems [1]. By the definition in the context of Lie groups a linear control system is determined by the pair Σ = (G, D), where the state
Duman, Okan
core
Conjugate Loci of Pseudoriemannian 2-step Nilpotent Lie Groups with Nondegenerate Center
, 2020 : We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is 1-dimensional we obtain formulas in all cases (Theorem 2.5), and when a certain operator is also diagonalizable ...
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