Given a finite subgroup G of the mapping class group surface S, Nielsen realization problem asks whether can be realized as homeomorphisms S. In 1983, Kerckhoff showed that for S finite-type surface, any may isometries some hyperbolic metric on We extend Kerckhoff's result to orientable, infinite-type surfaces. As applications, we classify torsion elements in plane minus Cantor set, and also sh...

Primitive harmonic maps of finite type from a Riemann surface M into a k-symmetric space G/H are obtained by integrating a pair of commuting Hamiltonian vector fields on certain finite-dimensional subspaces of loop algebras. We will clarify and generalize Ohnita and Udagawa’s results concerning homogeneous projections p : G/H →G/K , with H ⊂ K , preserving finite-type property for primitive har...

Let S be a connected orientable surface of finite topological type. We prove that there is an exhaustion of the curve complex C(S) by a sequence of finite rigid sets.

In this paper, a general elastoplastic-damage constitutive model considering the effect of strain rate has been developed. The derivation of this model has been cast into the irreversible thermodynamics with internal variables within the fundamentals of Continuum Damage Mechanics (CDM). The rate effect has been involved as an additional term into the plastic yield surface (dynamic plastic yield...

A subgroup of a product of n surface groups is of type FPn if and only if it contains a subgroup of finite index that is itself a product of (at most n) surface groups.

in this article, finite element method and ale formulation were used to numerically simulate impact of low-velocity specific projectiles with water surface. for the simulation, ls-dyna finite element code was used. material models which were used to express behavior of air and water included null material model. for the projectile, plastic-kinematics material model was applied. mie-gruneisen eq...

in this paper, a general elastoplastic-damage constitutive model considering the effect of strain rate has been developed. the derivation of this model has been cast into the irreversible thermodynamics with internal variables within the fundamentals of continuum damage mechanics (cdm). the rate effect has been involved as an additional term into the plastic yield surface (dynamic plastic yield...

We examine the geometry of a complete, negatively curved surface isometrically embedded in R3. We are especially interested in the behavior of the ends of the surface and its limit set at infinity. Various constructions are developed, and a classification theorem is obtained, showing that every possible end type for a topologically finite surface with at least one bowl end arises, as well as al...

In this paper, we study the restriction estimate for a certain surface of finite type in $\mathbb{R}^3$, and partially improves results Buschenhenke-M\"{u}ller-Vargas. The key ingredients proof include so called generalized rescaling technique based on decomposition adapted to geometry, decoupling inequality reduction dimension arguments.