Branson's -curvature in Riemannian and spin geometry.
Hijazi, Oussama, Raulot, Simon (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hijazi, Oussama, Raulot, Simon (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Jeff A. Viaclovsky (2010)
Annales de l’institut Fourier
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We consider the self-dual conformal classes on discovered by LeBrun. These depend upon a choice of points in hyperbolic -space, called monopole points. We investigate the limiting behavior of various constant scalar curvature metrics in these conformal classes as the points approach each other, or as the points tend to the boundary of hyperbolic space. There is a close connection to the orbifold Yamabe problem, which we show is not always solvable (in contrast to the case of compact...
Malchiodi, Andrea (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Gover, A.Rod (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Peterson, Lawrence J. (ed.) (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Juan Miguel Ruiz (2009)
Archivum Mathematicum
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Let be a closed Riemannian manifold and the Euclidean metric. We show that for , is not conformal to a positive Einstein manifold. Moreover, is not conformal to a Riemannian manifold of positive Ricci curvature, through a radial, integrable, smooth function, , for . These results are motivated by some recent questions on Yamabe constants.
Novica Blažić (2005)
Kragujevac Journal of Mathematics
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Matthias Fischmann (2014)
Archivum Mathematicum
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The well known conformal covariance of the Dirac operator acting on spinor fields does not extend to its powers in general. For odd powers of the Dirac operator we derive an algorithmic construction in terms of associated tractor bundles computing correction terms in order to achieve conformal covariance. These operators turn out to be formally (anti-) self-adjoint. Working out this algorithm we recover explicit formula for the conformal third and present a conformal fifth power of the...