A result on $m$-flats in $A_k^n$

P. C. Craighero

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On the osculatory behaviour of higher dimensional projective varieties.

Edoardo Ballico, Claudio Fontanari (2004)

Collectanea Mathematica

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We explore the geometry of the osculating spaces to projective verieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.

The dimension of certain catalecticant varieties.

Aldo Conca, Giuseppe Valla (2004)

Collectanea Mathematica

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Study of Stability in Nonlinear Neutral Differential Equations with Variable Delay Using Krasnoselskii–Burton’s Fixed Point

Mouataz Billah MESMOULI, Abdelouaheb Ardjouni, Ahcene Djoudi (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, we use a modification of Krasnoselskii’s fixed point theorem introduced by Burton (see [Burton, T. A.: Liapunov functionals, fixed points and stability by Krasnoseskii’s theorem. Nonlinear Stud., 9 (2002), 181–190.] Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equation with variable delay $x^{'} (t) = - a (t) h (x (t)) + \frac{d}{d t} Q (t, x (t - τ (t))) + G (t, x (t), x (t - τ (t))) .$ The stability of the zero solution of this eqution provided that $h (0) = Q (t, 0) = G (t, 0, 0) = 0$ . The Caratheodory condition is used for the functions...

On the computation of the minimal resolution of smooth parametric varieties.

Ferruccio Orecchia (2001)

Collectanea Mathematica

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Restricting cuspidal representations of the group of automorphisms of a homogeneous tree

Donald I. Cartwright, Gabriella Kuhn (2003)

Bollettino dell'Unione Matematica Italiana

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Let $X$ be a homogeneous tree in which every vertex lies on $q + 1$ edges, where $q \geq 2$ . Let $A = A u t (X)$ be the group of automorphisms of $X$ , and let $H$ be the its subgroup $P G L (2, F)$ , where $F$ is a local field whose residual field has order $q$ . We consider the restriction to $H$ of a continuous irreducible unitary representation $π$ of $A$ . When $π$ is spherical or special, it was well known that $π$ remains irreducible, but we show that when $π$ is cuspidal, the situation is much more complicated. We then study in detail what happens...

On the reflections in bounded symmetric domains

Mauro Meschiari (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Canonical subgroups of $H_{1} ⋊ S L (2, R)$

Filippo De Mari, Krzysztof Nowak (2002)

Bollettino dell'Unione Matematica Italiana

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We classify, up to conjugation, all subgroups of the semidirect products $H_{1} ⋊ S L (2, R)$ and $R^{2} ⋊ S L (2, R)$ . Our methods can also be applied to all Lie groups that are locally isomorphic to them.

Several observations about Maneeals - a peculiar system of lines

Naga Vijay Krishna Dasari, Jakub Kabat (2016)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that |AC|n|AB|n=|CDn||BDn|,|AB|n|BC|n=|AEn||CEn|,|BC|n|AC|n=|BFn||AFn|. $\frac{{|A C|}^{n}}{{|A B|}^{n}} = \frac{|C D_{n}|}{|B D_{n}|}, \frac{{|A B|}^{n}}{{|B C|}^{n}} = \frac{|A E_{n}|}{|C E_{n}|}, \frac{{|B C|}^{n}}{{|A C|}^{n}} = \frac{|B F_{n}|}{|A F_{n}|} .$ Cevians ADn, BEn, CFn are said to be the Maneeals of order n. In this paper we discuss some properties of the Maneeals and related objects.

Displaying similar documents to “A result on m -flats in A k n ”

Displaying similar documents to “A result on $m$ -flats in $A_{k}^{n}$ ”