Results 1 to 10 of about 611 (63)
Unextendable Intrinsic Lipschitz Curves: [PDF]
In the setting of Carnot groups, we exhibit examples of intrinisc Lipschitz curves of positive H1measure that intersect every connected intrinsic Lipschitz curve in a H1-negligible set.
Gioacchino Antonelli, Andrea Merlo
semanticscholar +1 more source
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
On Degenerate 3-(α, δ)-Sasakian Manifolds
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
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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group
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
Locally conformally Kähler structures on four-dimensional solvable Lie algebras
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
On theorems of Morgan and Cowling-Price for selected nilpotent Lie groups
Let G be a connected, simply connected nilpotent Lie group. For p,q ∈ [1,+∞] , the Lp −Lq analogue of Morgan’s theorem was proved only for two step nilpotent Lie groups.
K. Smaoui
semanticscholar +1 more source
Complex structures on the complexification of a real Lie algebra
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
A COUNTEREXAMPLE TO METRIC DIFFERENTIABILITY
We show that the metric version of Pansu’s differentiability result for Lipschitz maps fails; this illustrates an interesting difference between Euclidean domains and domains that are non-abelian stratified groups.
B. Kirchheim, Valentino Magnani
semanticscholar +1 more source
Background – Feline nonflea hypersensitivity dermatitis (NFHD) is a frequent cause of over‐grooming, scratching and skin lesions. Multimodal therapy often is necessary. Hypothesis/Objectives – To investigate the efficacy of ultramicronized palmitoylethanolamide (PEA‐um) in maintaining methylprednisolone‐induced remission in NFHD cats.
Chiara Noli+45 more
wiley +1 more source
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
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