Jeff Viaclovsky: Preprints

Jeff Viaclovsky: Preprints Jeff Viaclovsky

Articles and Preprints

27. pdf : An index theorem on anti-self-dual orbifolds, 2012, 15 pages, preprint.

26. pdf : Asymptotics of the self-dual deformation complex (with Antonio Ache) , 2012, 44 pages, preprint.

25. pdf : Obstruction-flat asymptotically locally Euclidean metrics (with Antonio Ache) , 2011, 43 pages, to appear in Geometric and Functional Analysis.

24. pdf : Rigidity and stability of Einstein metrics for quadratic curvature functionals (with Matt Gursky) , 2011, 53 pages, preprint.

23. Article : Monopole metrics and the orbifold Yamabe problem, Annales de L'Institut Fourier 60 (2010), no. 7, 2503-2543.

22. Article : Twistor geometry and warped product orthogonal complex structures (with Lev Borisov and Simon Salamon), Duke Math Journal 156 (2011), no. 1, 125-166.

21. pdf : Conformal symmetries of self-dual hyperbolic monopole metrics (with Nobuhiro Honda), 2009, 46 pages, preprint.

20. Article : Threefolds of order one in the six-quadric (with Lev Borisov), Proc. Steklov Inst. Math. 264 (2009), no. 1, 18-29.

19. Article : Orthogonal complex structures on domains in R^4 (with S. Salamon), Math. Annalen 343, no. 4, 2009, 853-899.

18. Article : Volume growth, curvature decay, and critical metrics (with G. Tian), Comm. Math. Helv. 83, Issue 4, 2008, pages 889-911.

17. pdf : Conformal geometry and fully nonlinear equations, Inspired by S. S. Chern, Nankai Tracts Math 11, World Scientific, 2006, pages 435-460.

16. Article : Convexity and singularities of curvature equations in conformal geometry (with M. Gursky), IMRN 2006: article ID 96890, 43 pages.

15. Article : Prescribing symmetric functions of the eigenvalues of the Ricci tensor (with M. Gursky), Annals of Mathematics 166 (2007) no. 2, 475-531.

14. Article : Moduli spaces of critical Riemannian metrics in dimension four (with G. Tian), Advances in Mathematics 196 (2005) no. 2, 346-372.

13. Article : Bach-flat asymptotically locally Euclidean metrics (with G. Tian), 2003, Inventiones Mathematicae 160 (2005) no. 2, 357-415.

12. Article : A fully nonlinear equation on four-manifolds with positive scalar curvature (with M. Gursky), Journal of Differential Geometry 63, no. 1, 2003, 131-154.

11. Article : Volume comparison and the sigma_k-Yamabe problem (with M. Gursky), Advances in Mathematics 187 (2004), no. 2, 447-487.

10. Article : Fully nonlinear equations on Riemannian manifolds with negative curvature (with M. Gursky), Indiana Univ. Math. J. 52 (2003), no. 2, 399-420.

9. Article : A variational characterization for sigma_{n/2} (with S. Brendle), Calc. Var. PDE. 20 (2004), no. 4, 399-402.

8. Article : Some properties of the Schouten tensor and applications to conformal geometry (with P. Guan and G. Wang), Trans. Amer. Math. Soc. 355 (2003), no. 3, 925-933.

7. dvi or ps : Estimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds, Communications in Analysis and Geometry 10 (2002), no.4, 815-846.

6. Article : On the regularity of solutions to Monge-Ampere equations on Hessian manifolds, (with L. Caffarelli), Comm. PDE 26 (2001), no. 11-12, 2339-2351.

5. Article : A new variational characterization of three-dimensional space forms (with M. Gursky), Invent. Math. 145 (2001) 2, 251-278.

4. Article : Regularity of weak solutions to critical exponent variational equations (with K. Uhlenbeck), Math. Res. Lett. 7 (2000), no. 5-6, 651--656.

3. dvi or ps : Some Fully Nonlinear Equations in Conformal Geometry, Differential equations and mathematical physics (Birmingham, AL, 1999) (Providence, RI), Amer. Math. Soc., Providence, RI, 2000, pp. 425--433.

2. Article : Conformal Geometry, Contact Geometry and the Calculus of Variations, Duke Math. J. 101 (2000), no. 2, 283--316.

1. Article : Conformally Invariant Monge-Ampere Partial Differential Equations: Global Solutions, Trans. Amer. Math. Soc. 352 (2000), no. 9, 4371--4379.

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