Results 91 to 100 of about 178,877 (207)
Algebraic Anosov actions of nilpotent Lie groups
Topology and its Applications, 2013 In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k on nilmanifolds, or (modified) Weyl chamber actions. We check the validity of the generalized Verjovsky conjecture in this
Barbot, Thierry, Maquera, Carlos
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Electronic Journal of Differential Equations, 2003 We consider the Green functions for second order non-coercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$.
Roman Urban
doaj
Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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Differential forms in Carnot groups: a variational approach
Bruno Pini Mathematical Analysis Seminar, 2011 Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
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Electronic Journal of Differential Equations, 2004 We consider the Green functions for second-order left-invariant differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$. We obtain estimates for mixed derivatives
Roman Urban
doaj
Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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Müntz–Szasz Theorems for Nilpotent Lie Groups
Journal of Functional Analysis, 1998 The classical Müntz-Szasz theorem says that for \(f\in L^2([0,1])\) and \(\{n_k\}^\infty_{k=1}\), a strict increasing sequence of positive integers, \[ \left(\int^1_0x^{n_j}f(x)dx=0,\forall j\Rightarrow f=0\right)\Leftrightarrow\sum^\infty_{j=1}{1\over n_j}=\infty.
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On sufficient density conditions for lattice orbits of relative discrete series. [PDF]
Arch Math, 2022 Enstad U, van Velthoven JT.
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