Jeff Viaclovsky: Preprints
Jeff Viaclovsky
Articles and Preprints
- 41.
Article
: Collapsing Ricci-flat metrics on elliptic K3 surfaces (with Gao Chen and Ruobing Zhang),
Communications in Analysis and Geometry 28 (2020), no. 8, 2019–2133.
- 40.
Article
: Existence and compactness theory for ALE scalar-flat Kähler surfaces (with Jiyuan Han),
Forum of Mathematics, Sigma (2020), Vol. 8, e1, 67 pages.
- 39.
arXiv
: Local moduli of scalar-flat Kähler ALE surfaces (with Jiyuan Han), 2018, 19 pages.
- 38.
arXiv
: Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces (with Hans-Joachim Hein, Song Sun, and Ruobing Zhang), 2018,
95 pages, to appear in Journal of the American Mathematical Society.
- 37.
Article
: The Calabi metric and desingularization of Einstein orbifolds (with Peyman Morteza),
Journal of the European Mathematical Society 22 (2020), no. 4, 1201–1245.
- 36.
Article
: Deformation theory of scalar-flat Kähler ALE surfaces (with Jiyuan Han),
American Journal of Mathematics 141 (2019), no. 6, 1547–1589 .
- 35.
Article
: Quotient singularities, eta invariants, and self-dual metrics (with Michael Lock), Geom. Topol. 20 (2016), no. 3, 1773–1806.
- 34.
Article
: A smorgasbord of scalar-flat Kähler ALE surfaces (with Michael Lock), J. reine agnew. Math. 746 (2019) 171–208.
- 33.
Article
: The mass of the product of spheres, Comm. Math. Phys. 335 (2015), no. 1, 17–41.
- 32.
Article
: Critical metrics on connected sums of Einstein four-manifolds (with Matt Gursky), Adv. Math. 292 (2016), 210–315.
- 31.
Article
: An index theorem for
anti-self-dual orbifold-cone metrics (with Michael Lock), Adv. Math. 248 (2013), 698–716.
- 30.
Article
: Toric LeBrun metrics and Joyce metrics (with Nobuhiro Honda), Geom. Topol. 17 (2013), no. 5, 2923–2934.
- 29.
Article
: Einstein metrics and Yamabe invariants of weighted projective spaces, Tohoku Math. J. (2) 65 (2013), no. 2, 297–311.
- 28.
Article
: Anti-self-dual orbifolds with cyclic quotient singularities (with Michael Lock),
J. Eur. Math. Soc. (JEMS) 17 (2015), no. 11, 2805–2841.
- 27.
Article
: An index theorem on anti-self-dual orbifolds, Int. Math. Res. Not. (IMRN) 2013, no. 17, 3911–3930.
- 26.
Article
: Asymptotics of the self-dual deformation complex
(with Antonio Ache), Journal of Geometric Analysis 25 (2015), no. 2, 951–1000.
- 25.
Article
: Obstruction-flat asymptotically locally Euclidean metrics
(with Antonio Ache), Geometric and Functional Analysis 22-4 (2012), 832–877.
- 24.
Article
: Rigidity and stability of Einstein metrics for quadratic curvature
functionals (with Matt Gursky) ,
Crelle's Journal 700 (2015), 37–91.
- 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.
Article
: Conformal symmetries of self-dual hyperbolic monopole
metrics (with Nobuhiro Honda), Osaka J. Math. 50 (2013), no. 1, 197–249.
- 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.
Article
: 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.
Contact Information
Dr. Jeff Viaclovsky
Department of Mathematics
University of California
340 Rowland Hall (Bldg.#400)
Irvine, CA 92697
Office: Rowland Hall 440G
Phone: 949-824-5508
E-mail:
jviaclov@uci.edu