The cohomology groups
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Displaying 1 – 10 of 10
The eta invariant and metrics of positive scalar curvature.
Peter B. Gilkey, Boris Botvinnik (1995)
Mathematische Annalen
The even Clifford structure of the fourth Severi variety
Maurizio Parton, Paolo Piccinni (2015)
Complex Manifolds
TheHermitian symmetric spaceM = EIII appears in the classification of complete simply connected Riemannian manifolds carrying a parallel even Clifford structure [19]. This means the existence of a real oriented Euclidean vector bundle E over it together with an algebra bundle morphism φ : Cl0(E) → End(TM) mapping Ʌ2E into skew-symmetric endomorphisms, and the existence of a metric connection on E compatible with φ. We give an explicit description of such a vector bundle E as a sub-bundle of End(TM)....
The generalized Lichnerowicz formula and analysis of Dirac operators.
J. Tolksdorf, Ackermann, T. (1996)
Journal für die reine und angewandte Mathematik
The Hijazi inequalities on complete Riemannian manifolds.
Nakad, Roger (2011)
Advances in Mathematical Physics
The laplacian and the Dirac operator in infinitely many variables
R. J. Plymen (1980)
Compositio Mathematica
The Srní lectures on non-integrable geometries with torsion
Ilka Agricola (2006)
Archivum Mathematicum
This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the notions of...
The torsion of spinor connections and related structures.
Klinker, Frank (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
The variational principle for the uniform acceleration and quasi-spin in two dimensional space-time.
Matsyuk, Roman Ya. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Two new estimates for eigenvalues of Dirac operators
Wenmin Gong, Guangcun Lu (2016)
Annales Polonici Mathematici
We establish lower and upper eigenvalue estimates for Dirac operators in different settings, a new Kirchberg type estimate for the first eigenvalue of the Dirac operator on a compact Kähler spin manifold in terms of the energy momentum tensor, and an upper bound for the smallest eigenvalues of the twisted Dirac operator on Legendrian submanifolds of Sasakian manifolds. The sharpness of those estimates is also discussed.
Currently displaying 1 – 10 of 10
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