Results 1 to 10 of about 727 (35)
Complex Manifolds, 2022 Let (M, ∇, 〈, 〉) be a manifold endowed with a flat torsionless connection r and a Riemannian metric 〈, 〉 and (TkM)k≥1 the sequence of tangent bundles given by TkM = T(Tk−1M) and T1M = TM. We show that, for any k ≥ 1, TkM carries a Hermitian structure (Jk,
Boucetta Mohamed
doaj +1 more source
Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group
Open Mathematics, 2020 In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
Ajaib Amna, Hussain Amjad
doaj +1 more source
On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
doaj +1 more source
On the use of an explicit chemical mechanism to dissect peroxy acetyl nitrate formation. [PDF]
, 2014 Peroxy acetyl nitrate (PAN) is a key component of photochemical smog and plays an important role in atmospheric chemistry. Though it has been known that PAN is produced via reactions of nitrogen oxides (NOx) with some volatile organic compounds (VOCs ...
Blake, Donald R +16 more
core +1 more source
Locally conformally Kähler structures on four-dimensional solvable Lie algebras
Complex Manifolds, 2019 We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma ...
Angella Daniele, Origlia Marcos
doaj +1 more source
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 1115-1148, October 2019., 2019 Abstract Let g be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩. We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of g is an infinitesimal isometry for ⟨·,·⟩.
Oliver Baues +2 more
wiley +1 more source
Complex structures on the complexification of a real Lie algebra
Complex Manifolds, 2018 Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the ...
Yamada Takumi
doaj +1 more source
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
core +2 more sources
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.
doaj +1 more source
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
core +5 more sources