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Willmore Surfaces in Spheres via Loop Groups IV: On Totally Isotropic Willmore Two-Spheres in S6
In this paper the author derives a geometric characterization of totally isotropic Willmore two-spheres in S 6 , which also yields to a description of...
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Geometric construction of Heisenberg–Weil representations for finite unitary groups and Howe correspondences
We give a geometric construction of the Heisenberg–Weil representation of a finite unitary group by the middle étale cohomology of an algebraic...
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A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants...
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A mixed finite element approach for a factional viscoelastic wave propagation in-time-domain
In this paper, we present a numerical approximation of fractional order viscoelastic wave equation in the 2D case. These viscoelastic models are...
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Error-correcting codes based on partial linear maps of finite-dimensional vector spaces
The determination of bounds on the size of codes with given minimum distance is an important problem in the coding theory. In this paper, we...
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Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
We generalize and extend the Conley-Morse-Forman theory for combinatorial multivector fields introduced in Mrozek (Found Comput Math 17(6):1585–1633,...
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A condition on uniform spaces for the existence of maximal elements and fixed points
We introduce extensions to uniform spaces of some classical theorems of nonlinear analysis, whose original setting corresponded to complete metric...
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Finite presentation
This paper surveys basic properties of finite presentation in groups, Lie algebras and rings. It includes some new results and also new, more...
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Meshing as the Choice of Basis Functions for Finite Element Analysis
Finite Element Analysis is seen as a particular technique for solving problems in Field Analysis in which some quantity which varies with position in...
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Local a Posteriori Error Analysis of Finite Element Method for Parabolic Boundary Control Problems
We derive space-time local a posteriori error estimates of finite element approximations to Neumann boundary control problems governed by parabolic...
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Elements of Symplectic Geometry
The first section of this chapter is a primer on symplectic algebra and geometry in Euclidean spaces, real or complex. Concepts and results are...
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A stabilizer-free pressure-robust finite element method for the Stokes equations
In this paper, we introduce a new finite element method for solving the Stokes equations in the primary velocity-pressure formulation using H (div)...
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Develo** and Analyzing Some Novel Finite Element Schemes for the Electromagnetic Rotation Cloak Model
One potential application of metamaterials is for designing invisibility cloaks. In this paper, we are interested in a rotation cloak model. Here we...
