Pennsylvania State University

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20032005

most citedNeutral Theory and Relative Species Abundance in Ecology

867 citations

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6 papers · 1 filter

math.DG2005

Embeddings With Multiple Regularity

Gordana Stojanovic

We introduce $(k, l)$ -regular maps, which generalize two previously studied classes of maps: affinely $k$ -regular maps and totally skew embeddings. We exhibit some explicit examples…

math.DG2004

BV-generators and Lie algebroids

Sebastien Michea, Gleb Novitchkov

Let $A = A^{0} + A^{1} + A^{2} + ...$ be a Gerstenhaber algebra generated by $A^{0}$ and $A^{1}$ . Given a degree -1 operator $D$ on $A^{0} + A^{1}$ , we find the condition on $D$ that makes $A$ a BV-alge…

math.DG2004

Tire track geometry: variations on a theme

Serge Tabachnikov

We study closed smooth convex plane curves $Γ$ enjoying the following property: a pair of points $x, y$ can traverse $Γ$ so that the distances between $x$ and $y$ along the curve an…

math.DG2004

Chern-Weil map for principal bundles over groupoids

Camille Laurent-Gengoux, Jean-Louis Tu, Ping Xu

The theory of principal $G$ -bundles over a Lie groupoid is an important one, unifying the various types of principal $G$ -bundles, including those over manifolds, those over orbifol…

math.DG2003

Totally skew embeddings of manifolds

M. Ghomi, S. Tabachnikov

We obtain bounds on the least dimension of an affine space that can contain an $n$ -dimensional submanifold without any pairs of parallel or intersecting tangent lines at distinct p…

math.DG2003★ 13 cited

Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert's fourth problem

Serge Tabachnikov

We interpret magnetic billiards as Finsler ones and describe an analog of the string construction for magnetic billiards. Finsler billiards for which the law "angle of incidence eq…