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Now showing items 1-10 of 215

#### 2-Killing vector fields on warped product manifolds

(World Scientific Publishing, 2015)

This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times. Some conditions for a 2-Killing ...

#### Fusion systems and constructing free actions on products of spheres

(Springer, 2012)

We show that every rank two p-group acts freely and smoothly on a product of two spheres. This follows from a more general construction: given a smooth action of a finite group G on a manifold M, we construct a smooth free ...

#### Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations

(2011)

The Kadomtsev-Petviashvili and Boussinesq equations (u xxx - 6uu x)x - ut x ± uyy = 0, (u xxx - 6uu x)x + u xx ± u tt = 0, are completely integrable, and in particular, they possess the three-soliton solution. This article ...

#### The one-dimensional long-range ferromagnetic Ising model with a periodic external field

(Elsevier, 2012)

We consider the one-dimensional ferromagnetic Ising model with very long-range interaction under a periodic, biased and weak external field and prove that at sufficiently low temperatures the model has a unique limiting ...

#### The fundemantal group of a generalized trigonal curve

(Osaka Daigaku, 2011)

We develop a modification of the Zariski-van Kampen approach for the computation of the fundamental group of a trigonal curve with improper fibers. As an application, we list the deformation families and compute the ...

#### Tornehave morphisms I: resurrecting the virtual permutation sets annihilated by linearization

(Taylor & Francis, 2011)

Tom Dieck introduced a commutative triangle whereby the exponential morphism from the Burnside functor to the unit functor is factorized through the real representation functor. Tornehave introduced a p-adic variant of the ...

#### AdS waves as exact solutions to quadratic gravity

(American Physical Society, 2011-04-08)

We give an exact solution of the quadratic gravity in D dimensions. The solution is a plane-fronted wave metric with a cosmological constant. This metric solves not only the full quadratic gravity field equations but also ...

#### On two equivalent dilation theorems in VH-spaces

(Birkhaeuser Science, 2012)

We prove that a generalized version, essentially obtained by R. M. Loynes, of the B. Sz.-Nagy's Dilation Theorem for B*(H)-valued (here H is a VH-space in the sense of Loynes) positive semidefinite maps on *-semigroups is ...

#### 2 + 1 KdV(N) equations

(American Institute of Physics, 2011)

We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV equation and its symmetries. We show that all these equations have the same 3-soliton solution structures. The only difference ...

#### Tornehave morphisms III: the reduced Tornehave morphism and the Burnside unit functor

(Elsevier, 2016)

We shall show that a morphism anticipated by Tornehave induces (and helps to explain) Bouc's isomorphism relating a quotient of the Burnside unit functor (measuring a difference between real and rational representations ...