Flat vector bundles and analytic torsion forms
Xiaonan Ma (2000-2001)
Séminaire de théorie spectrale et géométrie
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Xiaonan Ma (2000-2001)
Séminaire de théorie spectrale et géométrie
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Tomasz Jędrzejak, Maciej Ulas (2010)
Acta Arithmetica
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Bhutani, Kiran R. (1989)
International Journal of Mathematics and Mathematical Sciences
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Aparna Dar (1987)
Mathematische Zeitschrift
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Maxim Braverman, Thomas Kappeler (2007)
Annales de l’institut Fourier
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The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form on the determinant line of the cohomology. Both and the Burghelea-Haller torsion are refinements of the Ray-Singer torsion. We show that whenever the Burghelea-Haller torsion is defined it is equal to . As an application we obtain new results about the Burghelea-Haller torsion. In particular, we prove a weak version of the Burghelea-Haller conjecture...
Erich Platte (1986)
Compositio Mathematica
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J.-M. Bismut, W. Zhang (1994)
Geometric and functional analysis
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Mancho Manev, Miroslava Ivanova (2014)
Open Mathematics
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The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
Aparna Dar (1988)
Mathematische Zeitschrift
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