Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 The supremum of first eigenvalues of conformally covariant operators in a conformal class
- 2 K-Destabilizing test configurations with smooth central fiber
- 3 Explicit constructions of Ricci solitons
- 4 Open Iwasawa cells and applications to surface theory
- 5 Multiplier ideal sheaves and geometric problems
- 6 Multisymplectic formalism and the covariant phase space
- 7 Nonnegative curvature on disk bundles
- 8 Morse theory and stable pairs
- 9 Manifolds with k-positive Ricci curvature
- References
1 - The supremum of first eigenvalues of conformally covariant operators in a conformal class
Published online by Cambridge University Press: 05 November 2011
Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 The supremum of first eigenvalues of conformally covariant operators in a conformal class
- 2 K-Destabilizing test configurations with smooth central fiber
- 3 Explicit constructions of Ricci solitons
- 4 Open Iwasawa cells and applications to surface theory
- 5 Multiplier ideal sheaves and geometric problems
- 6 Multisymplectic formalism and the covariant phase space
- 7 Nonnegative curvature on disk bundles
- 8 Morse theory and stable pairs
- 9 Manifolds with k-positive Ricci curvature
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Variational Problems in Differential Geometry , pp. 1 - 23Publisher: Cambridge University PressPrint publication year: 2011
References
[1] , The Dirac Operator on Collapsing Circle Bundles, Sém. Th. Spec. Géom Inst. Fourier Grenoble 16 (1998), 33–42.Google Scholar
[3] , The smallest Dirac eigenvalue in a spin-conformal class and cmc-immersions, Comm. Anal. Geom. 17 (2009), 429–479.Google Scholar
[4] , A spin-conformal lower bound of the first positive Dirac eigenvalue, Diff. Geom. Appl. 18 (2003), 21–32.Google Scholar
[5] , A variational problem in conformal spin geometry, Habilitationsschrift, Universitäat Hamburg, 2003.Google Scholar
[6] and , irac eigenvalues and total scalar curvature, J. Geom. Phys. 33 (2000), 229–234.Google Scholar
[7] and , The first conformal Dirac eigenvalue on 2-dimensional tori, J. Geom. Phys. 56 (2006), 623–642.Google Scholar
[8] , , and , Mass endomorphism and spinorial Yamabe type problems, Comm. Anal. Geom. 14 (2006), 163–182.Google Scholar
[9] , , and , Sobolev spaces on Lie manifolds and regularity for polyhedral domains, Doc. Math. 11 (2006), 161–206.Google Scholar
[10] , , and , On the geometry of Riemannian manifolds with a Lie structure at infinity, Int. J. Math. Math. Sci. (2004), 161–193.Google Scholar
[11] , Pseudodifferential operators on manifolds with a Lie structure at infinity, Ann. of Math. 165 (2007), 717–747.Google Scholar
[12] , The Dirac operator on space forms of positive curvature, J. Math. Soc. Japan 48 (1996), 69–83.Google Scholar
[13] , The Dirac operator on hyperbolic manifolds of finite volume, J. Differ. Geom. 54 (2000), 439–488.Google Scholar
[14] , Spin-Strukturen und Dirac-Operatoren über pseudoriemannschen Mannigfaltigkeiten, Teubner Verlag, 1981.Google Scholar
[15] , Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, no. 10, Springer-Verlag, 1987.Google Scholar
[16] , Differential operators canonically associated to a conformal structure, Math. Scand. 57 (1985), 293–345.Google Scholar
[17] , Group representations arising from Lorentz conformal geometry, J. Funct. Anal. 74 (1987), no. 2, 199–291.Google Scholar
[18] , Second order conformal covariants, Proc. Amer. Math. Soc. 126 (1998), 1031–1042.Google Scholar
[19] and , Eigenvalues of the Laplacian acting on p-forms and metric conformal deformations, Proc. of Am. Math. Soc. 134 (2006), 715–721.Google Scholar
[20] and , Immersions minimales, première valeur propre du laplacien et volume conforme, Math. Ann. 275 (1986), 257–267.Google Scholar
[21] , Conformally invariant first order differential operators., Quart. J. Math. Oxford, II. series 27 (1976), 371–378.Google Scholar
[22] and , Conformally invariant powers of the Laplacian, Q-curvature, and tractor calculus, Comm. Math. Phys. 235 (2003), 339–378.Google Scholar
[23] and , Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients, Calc. Var. Partial Differential Equations 13 (2001), 491–517.Google Scholar
[25] , Extrema de valeurs propres dans une classe conforme, Sémin. Théor. Spectr. Géom. 24 (2007), 23–42.Google Scholar
[26] , , and , Natural operations in differential geometry, Springer-Verlag, Berlin, 1993.Google Scholar
[27] , Upper bounds for eigenvalues of conformal metrics, J. Differ. Geom. 37 (1993), 73–93.Google Scholar
[30] , Categories for the working mathematician, Graduate Texts in Mathematics, vol. 5, Springer-Verlag, New York, 1998.Google Scholar
[31] , The Atiyah-Patodi-Singer index theorem, Research Notes in Mathematics, vol. 4, A K Peters Ltd., Wellesley, MA, 1993.Google Scholar
[32] , A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds, Preprint 1983, published in SIGMA 4 (2008).Google Scholar
- 2
- Cited by