In this work, we investigate the classification of Morse-Bott functions from S-2 to S-1, up to topological conjugacy. We give a complete topological invariant of simple Morse-Bott functions f : S-2 -> S-1. The invariant ...

We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott ...

In this paper we study functions and vector fields with isolated singularities on a C(ℂPn)-singular manifold. In general, a C(ℂPn)-singular manifold is obtained from a smooth (2n + 1)-manifold with boundary which is a ...

We classify the links of basic periodic orbits of integrable vector fields on 'S POT.3' generalizing results on two degree of freedom Hamiltonian systems. We also study the case of completely integrable systems and define ...

In this paper we study functions and vector fields with isolated singularities on a C(CPn)-singular manifold. In general, a C(CPn)-singular manifold is obtained from a smooth (2n+1) -manifold with boundary which is a ...

La idea principal de este trabajo es entender las conexiones que existen entre teoría del índice y el problema de implementación de simetrías unitarias en estructuras algebraicas como las álgebras de Clifford y las álgebras ...

We focus on physical and mathematical results about equilibrium states of gapped and gapless Hamiltonians of lattice fermion and lattice spin systems. We use the algebraic formulation of quantum mechanics to describe and ...

El tema de la investigación en educación, ocupa un lugar preponderante debido a la actualidad que ha tomado la misma como constructora de puentes de diálogo entre los nuevos paradigmas de la ciencia, el auge de la técnica ...