scholarly journals The Euler and Helmholtz operators on fibered manifolds with oriented bases

2006 ◽  
Vol 105 (2) ◽  
pp. 171-177
Author(s):  
J. Kurek ◽  
W. M. Mikulski
Keyword(s):  
Helmholtz Operators ◽  
Fibered Manifolds

On spines of Seifert fibered manifolds

2003 ◽  
Vol 65 (1) ◽  
pp. 40-60 ◽  
Author(s):  
B. Ruini ◽  
F. Spaggiari ◽  
A. Vesnin
Keyword(s):  
Fibered Manifolds

scholarly journals Product preserving bundle functors on fibered fibered manifolds

2003 ◽  
Vol 96 (1) ◽  
pp. 17-26 ◽  
Author(s):  
Włodzimierz M. Mikulski ◽  
Jiří M. Tomáš
Keyword(s):  
Fibered Manifolds

scholarly journals Vertical functors on fibered manifolds

2017 ◽  
Vol 54 ◽  
pp. 100-110
Author(s):  
Miroslav Doupovec ◽  
Jan Kurek ◽  
Włodzimierz M. Mikulski
Keyword(s):  
Fibered Manifolds

Some applications of the Mangiarotti–Modugno formula for tangent-valued forms

2014 ◽  
Vol 11 (07) ◽  
pp. 1460022
Author(s):  
Ivan Kolář
Keyword(s):  
Lie Algebras ◽  
Classical Approach ◽  
Graded Lie Algebras ◽  
Nijenhuis Bracket ◽  
Fibered Manifolds

First, we present a classical approach to the general connections on arbitrary fibered manifolds. Then we compare this approach with the use of the Frölicher–Nijenhuis bracket by Mangiarotti and Modugno [Graded Lie algebras and connections on a fibered space, J. Math. Pures Appl. 63 (1984) 111–120]. Finally, we demonstrate that the latter viewpoint is very efficient in the theory of torsions of connections on Weil bundles.

Locally excited magnethohydrodynamic waves in a uniform cylindrical plasma waveguide

1977 ◽  
Vol 17 (2) ◽  
pp. 281-300 ◽  
Author(s):  
W. N-C. Sy
Keyword(s):  
Differential Operators ◽  
Current Source ◽  
Plasma Waveguide ◽  
Mhd Waves ◽  
Cylindrical Plasma ◽  
Characteristic Roots ◽  
Guided Modes ◽  
Homogeneous Wave ◽  
Helmholtz Operators ◽  
Homogeneous Wave Equation

The guided modes of Woods' magnetohydrodynamic waveguide for a uniform, cylindrical plasma are shown to satisfy a homogeneous wave equation whose differential operator is the product of eight Helmholtz operators. The propagation constants of the Helmholtz operators are the characteristic roots of an 8 × 8 matrix which is derived and written down explicitly. This reformulated theory is extended to include localized sources which excite the guided modes. For certain cases, the Green's functions for the differential operators can be represented by Dini expansions in terms of modal eigenfunctions, which manifestly satisfy the boundary conditions. For the case of MHD waves excited by an azimuthally symmetric current source in a resistive, pressureless, inviscid, fully ionized plasma, a detailed solution is obtained which is in good qualitative agreement with experiments.

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