In this paper we combine oligopoly theory and fishery dynamics to study the effects of imperfect competition and cooperation among the players on the long run evolution of a living resource. A fish population has the capacity for reproduction and growth over time. It might be diminished, however, by the harvesting activities of a sole owner or several individuals. Hence, answers to questions li...

Dragomir Tsonev (UFAM, Manaus) Title: ON THE SPECTRA OF GEOMETRIC OPERATORS EVOLVING WITH GEOMETRIC FLOWS Abstract: In this work we generalise various recent results on the evolution and monotonicity of the eigenvalues of certain geometric operators under specified geometric flows. Given a compact Riemannian manifold (M, g(t)) and a smooth function η ∈ C(M) we consider the family of operators∆−...

Let (M, I) be an almost complex 6-manifold. The obstruction to integrability of almost complex structure (socalled Nijenhuis tensor) N : Λ0,1(M)−→ Λ(M) maps a 3-dimensional bundle to a 3-dimensional one. We say that Nijenhuis tensor is non-degenerate if it is an isomorphism. An almost complex manifold (M, I) is called nearly Kähler if it admits a Hermitian form ω such that ∇(ω) is totally antis...

This paper is a starting point towards computing the Hausdorff dimension of submanifolds and the Hausdorff volume of small balls in a sub-Riemannian manifold with singular points. We first consider the case of a strongly equiregular submanifold, i.e., a smooth submanifold N for which the growth vector of the distribution D and the growth vector of the intersection of D with TN are constant on N...

The index of a metric plays significant roles in differential geometry as it generates variety of vector fields such as space-like, time-like, and light-like fileds. With the help of these vector fields, we establish interesting properties on ( )-Sasakian manifolds, which was introduced by Bejancu and Duggal [1] and further investigated by Xufeng and Xiaoli [2]. Since Sasakian manifolds with in...

The nucleus holds and protects the genetic information of a cell. Nuclear positioning is correlated with several important cellular processes, such as cell division, migration and differentiation, and it is essential to the development of organisms ranging from worms to positioning is mediated through a protein complex across the nuclear envelope (NE), formed by the outer nuclear membrane (ONM)...

The nucleus is the main microtubule-organizing center (MTOC) in muscle cells due to the accumulation of centrosomal proteins and microtubule (MT) nucleation activity at the nuclear envelope (NE) [1-4]. The relocalization of centrosomal proteins, including Pericentrin, Pcm1, and γ-tubulin, depends on Nesprin-1, an outer nuclear membrane (ONM) protein that connects the nucleus to the cytoskeleton...

A compact (not necessarily connected) Lie group G carries a (unique) biinvariant probability measure. Using this measure, one can average orbits of actions of G on affine convex sets to obtain fixed points. In particular, if G acts on a manifoldM , G leaves invariant a riemannian metric onM , and this metric can sometimes be used to obtain fixed points for the nonlinear action of G on M itself....

Let M be a C∞ manifold (without corners) and let E ⊆ TM be a subbundle of the tangent bundle. In class we discussed the notion of integral manifolds for E in M (as well as maximal ones), essentially as a generalization of the theory of integral curves for vector fields. Roughly speaking, in the special case that E is a trivial line bundle we are in the setup of integral curves for (non-vanishin...

A set of vertices of the q-ary n-dimensional Hamming space is called a distance-2 MDS code if it has exactly one element in intersection with every line. By an isotopism we mean an isometric transformation of the Hamming space that independently permutes the symbols in every coordinate but does not change the coordinate order. A set M of vertices is called transitive if its automorphism group (...