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H. Parker. The Yamabe problem. Bull. Am. Math. , New Ser. 17 (1987), 37–91. [30] S. Mac Lane, Categories for the working mathematician, Graduate Texts in Mathematics, vol. 5, Springer-Verlag, New York, 1998. [31] R. B. Melrose, The Atiyah-Patodi-Singer index theorem, Research Notes in Mathematics, vol. , Wellesley, MA, 1993. [32] S. M. Paneitz, A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds, Preprint 1983, published in SIGMA 4 (2008). [33] M. E. Taylor, M.

Morel, Mass endomorphism and spinorial Yamabe type problems, Comm. Anal. Geom. 14 (2006), 163–182. [9] B. Ammann, A. D. Ionescu, and V. Nistor, Sobolev spaces on Lie manifolds and regularity for polyhedral domains, Doc. Math. 11 (2006), 161–206. [10] B. Ammann, R. Lauter, and V. Nistor, On the geometry of Riemannian manifolds with a Lie structure at infinity, Int. J. Math. Math. Sci. (2004), 161–193. , Pseudodifferential operators on manifolds with a Lie structure at infinity, [11] Ann. of Math.

Wellesley, MA, 1993. [32] S. M. Paneitz, A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds, Preprint 1983, published in SIGMA 4 (2008). [33] M. E. Taylor, M. , Pseudodifferential operators, Princeton University Press, 1981. -A. fr 2 K-Destabilizing test configurations with smooth central fiber claudio arezzo, alberto della vedova, and gabriele la nave Abstract In this note we point out a simple application of a result by the authors in [2]. We show how to construct many families of strictly K-unstable polarized manifolds, destabilized by test configurations with smooth central fiber.

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