On a spin conformal invariant on manifolds with boundary

Details On a spin conformal invariant on manifolds with boundary On a spin conformal invariant on manifolds with boundary

2006-09-25

arxiv.org/abs/math/0609691v1

Mathematische Zeitschrift 261, 2 (2009) 321-349

Mathematics

Differential Geometry

26 pages

Scientific paper

10.1007/s00209-008-0327-4

On a n-dimensional connected compact manifold with non-empty boundary equipped with a Riemannian metric, a spin structure and a chirality operator, we study some properties of a spin conformal invariant defined from the first eigenvalue of the Dirac operator under the chiral bag boundary condition. More precisely, we show that we can derive a spinorial analogue of Aubin's inequality.

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