1 - 10 of 12 articles
We show that non-degenerate hyperquadrics in R
n+2 admit no skew n-branes. Stated more traditionally, a compact codimension-one immersed submanifold of a non-degenerate hyperquadric of euclidean space must have parallel tangent spaces at two distinct points. Similar results have been proven by...
In this paper, we construct a q-deformation of the Witt-Burnside ring of a profinite group over a commutative ring, where q ranges over the set of integers. When q = 1, it coincides with the Witt-Burnside ring introduced by Dress and Siebeneicher (Adv. Math. 70, 87–132 (1988)). To achieve our...
We discuss the analytic properties of curves γ whose global curvature function ρ
[γ]−1 is p-integrable. It turns out that the L
is an appropriate model for a self-avoidance energy interpolating between “soft” knot energies...
We show that in each dimension n = 4k, k≥ 2, there exist infinite sequences of closed simply connected Riemannian n-manifolds with nonnegative sectional curvature and mutually distinct oriented cobordism type.
In this paper, we will study self-similar solutions for X
, the equivalent in the Minkowski 3-space
to the localized induction approximation flow, trying to adapt some results given by Gutiérrez, Rivas and Vega. We will show the existence of a one-parameter...
Let f be an entire transcendental map of finite order, such that all the singularities of f
−1 are contained in a compact subset of the immediate basin B of an attracting fixed point. It is proved that there exist geometric coding trees of preimages of points from B with all branches convergent...
In this paper we investigate vector-valued parabolic initial boundary value problems
subject to general boundary conditions in domains G in
with compact C
-boundary. The top-order coefficients of
We show that the Pythagoras number of a real analytic curve is the supremum of the Pythagoras numbers of its singularities, or that supremum plus 1. This includes cases when the Pythagoras number is infinite.
Relations between category and strong category are studied. The notion of a homotopy coalgebra of order r over the Ganea comonad is introduced. It is shown that cat(X) =Cat(X) holds if a finite 1-connected complex X carries such a structure with r sufficiently large.
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