메뉴 건너뛰기




Volumn 158, Issue 1, 2003, Pages 323-343

Global existence and convergence for higher order flow in conformal geomet

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0141614019     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2003.158.323     Document Type: Article
Times cited : (94)

References (25)
  • 1
    • 0000968678 scopus 로고
    • A sharp inequality of J. Moser for higher order derivatives
    • D. ADAMS, A sharp inequality of J. Moser for higher order derivatives, Ann. of Math. 128 (1988), 385-398.
    • (1988) Ann. of Math. , vol.128 , pp. 385-398
    • Adams, D.1
  • 2
    • 21144476884 scopus 로고
    • Estimates and extremals for zeta function determinants on four-manifolds
    • T. BRANSON, S.-Y. A. CHANG, and P. YANG, Estimates and extremals for zeta function determinants on four-manifolds, Comm. Math. Phys. 149 (1992), 241-262.
    • (1992) Comm. Math. Phys. , vol.149 , pp. 241-262
    • Branson, T.1    Chang, S.-Y.A.2    Yang, P.3
  • 3
    • 0000270633 scopus 로고
    • Extremal metrics of zeta function determinants on 4-manifolds
    • S.-Y. A. CHANG and P. YANG, Extremal metrics of zeta function determinants on 4-manifolds, Ann. of Math. 142 (1995), 171-212.
    • (1995) Ann. of Math. , vol.142 , pp. 171-212
    • Chang, S.-Y.A.1    Yang, P.2
  • 4
    • 0031286864 scopus 로고    scopus 로고
    • On uniqueness of solutions of nth order differential equations in conformal geometry
    • _, On uniqueness of solutions of nth order differential equations in conformal geometry, Math. Res. Lett. 4 (1997), 91-102.
    • (1997) Math. Res. Lett. , vol.4 , pp. 91-102
  • 5
    • 0036587626 scopus 로고    scopus 로고
    • An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature
    • S.-Y. A. CHANG, M. GURSKY, and P. YANG, An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature, Ann. of Math. 155 (2002), 709-787.
    • (2002) Ann. of Math. , vol.155 , pp. 709-787
    • Chang, S.-Y.A.1    Gursky, M.2    Yang, P.3
  • 6
    • 0038525011 scopus 로고    scopus 로고
    • Calabi flow in Riemann surfaces revisited: A new point of view
    • X. CHEN, Calabi flow in Riemann surfaces revisited: a new point of view, Internat. Math. Res. Notices (2001), no. 6, 275-297.
    • (2001) Internat. Math. Res. Notices , Issue.6 , pp. 275-297
    • Chen, X.1
  • 7
    • 0036002705 scopus 로고    scopus 로고
    • Ricci flow on Kähler-Einstein surfaces
    • X. CHEN and G. TIAN, Ricci flow on Kähler-Einstein surfaces, Invent. Math. 147 (2002), 487-544.
    • (2002) Invent. Math. , vol.147 , pp. 487-544
    • Chen, X.1    Tian, G.2
  • 8
    • 84972506625 scopus 로고
    • The Ricci flow on the 2-sphere
    • B. CHOW, The Ricci flow on the 2-sphere, J. Differential Geom. 33 (1991), 325-334.
    • (1991) J. Differential Geom. , vol.33 , pp. 325-334
    • Chow, B.1
  • 9
    • 51249177115 scopus 로고
    • Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation
    • P. CHRUŚCIEL, Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation, Comm. Math. Phys. 137 (1991), 289-313.
    • (1991) Comm. Math. Phys. , vol.137 , pp. 289-313
    • Chruściel, P.1
  • 11
    • 0036691252 scopus 로고    scopus 로고
    • Prescribing a fourth order conformal invariant on the standard sphere - Part I: A perturbation result
    • Z. DJADLI, A. MALCHIODI, and M. AHMEDOU, Prescribing a fourth order conformal invariant on the standard sphere - Part I: a perturbation result, Commun. Contemp. Math. 4 (2002), 375-408.
    • (2002) Commun. Contemp. Math. , vol.4 , pp. 375-408
    • Djadli, Z.1    Malchiodi, A.2    Ahmedou, M.3
  • 13
    • 0001556478 scopus 로고
    • Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
    • K. ECKER and G. HUISKEN, Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes, Comm. Math. Phys. 135 (1991), 595-613.
    • (1991) Comm. Math. Phys. , vol.135 , pp. 595-613
    • Ecker, K.1    Huisken, G.2
  • 15
    • 0036324616 scopus 로고    scopus 로고
    • Q-curvature and Poincaré metrics
    • _, Q-curvature and Poincaré metrics, Math. Res. Lett. 9 (2002), 139-151.
    • (2002) Math. Res. Lett. , vol.9 , pp. 139-151
  • 16
    • 0032359906 scopus 로고    scopus 로고
    • The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
    • M. GURSKY, The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics, Ann. of Math. 148 (1998), 315-337.
    • (1998) Ann. of Math. , vol.148 , pp. 315-337
    • Gursky, M.1
  • 17
    • 0033216642 scopus 로고    scopus 로고
    • The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE
    • M. GURSKY, The principal eigenvalue of a conformally invariant differential operator, with an application to semilinear elliptic PDE, Comm. Math. Phys. 207 (1999), 131-143.
    • (1999) Comm. Math. Phys. , vol.207 , pp. 131-143
    • Gursky, M.1
  • 18
    • 0000872141 scopus 로고
    • The Ricci flow on surfaces
    • Mathematics and General Relativity (Santa Cruz, CA)
    • R. HAMILTON, The Ricci flow on surfaces, in Mathematics and General Relativity (Santa Cruz, CA, 1986), Contemp. Math. 71 (1988), 237-262.
    • (1986) Contemp. Math. , vol.71 , pp. 237-262
    • Hamilton, R.1
  • 20
    • 0002110699 scopus 로고
    • On a nonlinear problem in differential geometry
    • M. Peixoto, ed., Academic Press, New York
    • J. MOSER, On a nonlinear problem in differential geometry, in Dynamical Systems (M. Peixoto, ed.), 273-280, Academic Press, New York (1973).
    • (1973) Dynamical Systems , pp. 273-280
    • Moser, J.1
  • 21
    • 0000193161 scopus 로고
    • Extremals of determinants of Laplacians
    • B. OSGOOD, R. PHILLIPS, and P. SARNAK, Extremals of determinants of Laplacians, J. Funct. Anal. 80 (1988), 148-211.
    • (1988) J. Funct. Anal. , vol.80 , pp. 148-211
    • Osgood, B.1    Phillips, R.2    Sarnak, P.3
  • 22
    • 0000137102 scopus 로고
    • Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems
    • L. SIMON, Asymptotics for a class of nonlinear evolution equations, with applications to geometric problems, Ann. of Math. 118 (1983), 525-571.
    • (1983) Ann. of Math. , vol.118 , pp. 525-571
    • Simon, L.1
  • 25
    • 0002874135 scopus 로고
    • Global existence and convergence of Yamabe flow
    • R. YE, Global existence and convergence of Yamabe flow, J. Differential Geom. 39 (1994), 35-50.
    • (1994) J. Differential Geom. , vol.39 , pp. 35-50
    • Ye, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.