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Index theorems on torsional geometries
 JHEP 0708 (2007) 048 [arXiv:0704.2111
"... We study various topological invariants on a differential geometry in the presence of a totally antisymmetric torsion H under the closed condition dH = 0. By using the identification between the Clifford algebra on a geometry and the canonical quantization condition of fermion in the quantum mechan ..."
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Cited by 8 (1 self)
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We study various topological invariants on a differential geometry in the presence of a totally antisymmetric torsion H under the closed condition dH = 0. By using the identification between the Clifford algebra on a geometry and the canonical quantization condition of fermion in the quantum
K.: “Optimization of antisymmetrical open crosssections of coldformed thinwalled beams
 Journal of Theoretical and Applied Mechanics
"... The paper deals with coldformed thinwalled beams with the Z, S and Clothoidsection. A short survey of optimal designs of thinwalled beams with open crosssections is given. Geometric properties of three crosssections are described. Strength, local and global buckling conditions for thinwalle ..."
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Cited by 1 (0 self)
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Venant torsion Jy, Jz – inertia moments 554 J. Lewiński, K. Magnucki Jω – warping moment of inertia M0 – loading moment R – principal radius of the clothoid α, β – angles of the Ssection λ – relative length of the beam θp – angle to the principal axes ω – warping function Φj – objective function 1.
CORRECTION OF THE SECOND BIANCHI IDENTITY FOR TORSION. by
"... The second Bianchi identity of 1902 is corrected for torsion and several new identities of tensor analysis inferred. The starting point of the correction is the Jacobi identity of covariant derivatives acting on a vector in any space of any dimension. It is shown that torsion enters into the analysi ..."
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into the analysis through the action of the commutator of covariant derivatives on a vector and the derivative of a vector. If torsion is made to vanish through use of a symmetric connection the commutator vanishes and so does the curvature and gravitation of the Einsteinian type. So the connection is antisymmetric
Fermion Helicity Flip Induced by Torsion Field
, 1999
"... (received; accepted) PACS. 14.60Pq – Neutrino mass and mixing. PACS. 95.30Sf – Relativity and gravitation. PACS. 04.50+h – Alternative theories of gravity. Abstract. – We show that in theories of gravitation with torsion the helicity of fermion particles is not conserved and we calculate the probabi ..."
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the probability of spin flip, which is related to the antisymmetric part of affine connection. Some cosmological consequences are discussed. Introduction. – Attempts to conciliate General Relativity with Quantum Theory yielded to propose theories of gravitation including torsion fields, so that the natural arena
A NOTE ON FLAT METRIC CONNECTIONS WITH ANTISYMMETRIC TORSION
"... Abstract. In this short note we study flat metric connections with antisymmetric torsion T ̸ = 0. The result has been originally discovered by Cartan/Schouten in 1926 and we provide a new proof not depending on the classification of symmetric spaces. Any space of that type splits and the irreducible ..."
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Cited by 3 (0 self)
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Abstract. In this short note we study flat metric connections with antisymmetric torsion T ̸ = 0. The result has been originally discovered by Cartan/Schouten in 1926 and we provide a new proof not depending on the classification of symmetric spaces. Any space of that type splits
Duality Invariance of Cosmological Solutions with Torsion a
, 1998
"... We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then give a generalised defi ..."
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We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then give a generalised
GENERALISING THE CONCEPT OF MAXIMAL SYMMETRY OF SPACETIMES IN THE PRESENCE OF TORSION a
, 1994
"... A possible generalisation is given to the meaning of maximal symmetry in the presence of torsion. PACS NO: 04.20.cv; 02.40.ky; 11.27 + d 1 In N dimensions, a metric that admits the maximum number N(N +1)/2 of Killing vectors is said to be maximally symmetric.A maximally symmetric space is homogeneou ..."
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symmetry when torsion is present.The motivation stems from string theory where there is a second rank antisymmetric tensor field in the spectrum that is identified with the background torsion.Therefore a maximally symmetric solution of the classical string equations of motion necessarily requires a
Master’s Thesis in Theoretical Physics
, 2007
"... The ”Waterfall ” by M.C.Escher is displayed on the cover. The water symbolizes antisymmetric spacetimemomentumenergy curvature, better known as torsion. ..."
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The ”Waterfall ” by M.C.Escher is displayed on the cover. The water symbolizes antisymmetric spacetimemomentumenergy curvature, better known as torsion.
On the Symmetry of the Connection in Relativity and ECE Theory
"... It is shown that the connection in relativity theory must always be antisymmetric and that relativity theory must be based on a nonzero spacetime torsion as in the Einstein Cartan Evans (ECE) field theory. These results follow straightforwardly from the action of the commutator of covariant deri ..."
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It is shown that the connection in relativity theory must always be antisymmetric and that relativity theory must be based on a nonzero spacetime torsion as in the Einstein Cartan Evans (ECE) field theory. These results follow straightforwardly from the action of the commutator of covariant
Nonperturbative and Flux superpotentials for Type
 I strings on the Z3 orbifold,” Nucl. Phys. B 782 (2007
"... Abstract: Nonperturbative effects are studied for Type I strings on the Z3 orbifold with ChanPaton symmetry broken by Wilson lines. Generalizing previous analyses that have focussed on (bi)fundamentals, it is argued that (anti)symmetric representations of the resulting gauge group play a decisive ..."
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Cited by 41 (11 self)
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Abstract: Nonperturbative effects are studied for Type I strings on the Z3 orbifold with ChanPaton symmetry broken by Wilson lines. Generalizing previous analyses that have focussed on (bi)fundamentals, it is argued that (anti)symmetric representations of the resulting gauge group play a decisive
Results 1  10
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34