메뉴 건너뛰기




Volumn 11, Issue 6, 2001, Pages 1229-1281

Gluing theorems for complete anti-self-dual spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035564807     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-001-8230-8     Document Type: Article
Times cited : (34)

References (36)
  • 1
    • 84980080664 scopus 로고
    • Estimates near the boundary for the solutions of elliptic partial differential equations satisfying general boundary conditions, II
    • S. AGMON, A. DOUGLIS, L. NIRENBERG, Estimates near the boundary for the solutions of elliptic partial differential equations satisfying general boundary conditions, II, Comm. Pure Appl. Math. 17 (1964), 35-92.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 35-92
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 0000018889 scopus 로고
    • Self-duality in four-dimensional Riemannian geometry
    • M.F. ATIYAH, N. HITCHIN, I.M. SINGER, Self-duality in four-dimensional Riemannian geometry. Proc. R. Soc. London A 362 (1978), 425-461.
    • (1978) Proc. R. Soc. London A , vol.362 , pp. 425-461
    • Atiyah, M.F.1    Hitchin, N.2    Singer, I.M.3
  • 3
  • 4
    • 0001498175 scopus 로고
    • The decomposition theorem for V-manifolds
    • W.L. BAILY, The decomposition theorem for V-manifolds, Am. J. Math. 78 (1956), 862-888.
    • (1956) Am. J. Math. , vol.78 , pp. 862-888
    • Baily, W.L.1
  • 6
    • 0000069389 scopus 로고
    • Fibrés paraboliques stables et connexions singulières plates
    • O. BIQUARD, Fibrés paraboliques stables et connexions singulières plates. Bull. Soc. Math. France 119 (1991), 231-257.
    • (1991) Bull. Soc. Math. France , vol.119 , pp. 231-257
    • Biquard, O.1
  • 7
    • 0000582828 scopus 로고
    • Conformal duality and compact complex surfaces
    • C.P. BOYER, Conformal duality and compact complex surfaces, Math. Ann. 274 (1986), 517-526.
    • (1986) Math. Ann. , vol.274 , pp. 517-526
    • Boyer, C.P.1
  • 8
    • 0041707145 scopus 로고    scopus 로고
    • Einstein-Weyl geometry
    • "Essays on Einstein Manifolds" (C.R. LeBrun, M. Wang, eds.), International Press
    • D.M.J. CALDERBANK, H. PEDERSEN, Einstein-Weyl geometry, in "Essays on Einstein Manifolds" (C.R. LeBrun, M. Wang, eds.), Surveys in Differential Geometry V (Suppl. J. Diff. Geom.), International Press (1999), 387-423.
    • (1999) Surveys in Differential Geometry V (Suppl. J. Diff. Geom.) , vol.5 , pp. 387-423
    • Calderbank, D.M.J.1    Pedersen, H.2
  • 9
    • 0000530266 scopus 로고
    • Connected sums of self-dual manifolds and deformations of singular spaces
    • S.K. DONALDSON, R.D. FRIEDMAN, Connected sums of self-dual manifolds and deformations of singular spaces, Nonlinearity 2 (1989), 197-239.
    • (1989) Nonlinearity , vol.2 , pp. 197-239
    • Donaldson, S.K.1    Friedman, R.D.2
  • 12
    • 33646852332 scopus 로고
    • Quaternionic reduction and quaternionic orbifolds
    • K. GALICKI, H.B. LAWSON, JR., Quaternionic reduction and quaternionic orbifolds, Math. Ann. 282 (1988), 1-21.
    • (1988) Math. Ann. , vol.282 , pp. 1-21
    • Galicki, K.1    Lawson H.B., Jr.2
  • 13
    • 0000752917 scopus 로고
    • Analytic surgery and the accumulation of eigenvalues
    • A. HASSELL, R.R. MAZZEO, R.B. MELROSE, Analytic surgery and the accumulation of eigenvalues, Comm. Anal. Geom. 3 (1995), 115-222.
    • (1995) Comm. Anal. Geom. , vol.3 , pp. 115-222
    • Hassell, A.1    Mazzeo, R.R.2    Melrose, R.B.3
  • 17
    • 0000412222 scopus 로고
    • The deformation theory of anti-self-dual conformal structures
    • A.D. KING, D. KOTSCHICK, The deformation theory of anti-self-dual conformal structures, Math. Ann. 294 (1992), 591-609.
    • (1992) Math. Ann. , vol.294 , pp. 591-609
    • King, A.D.1    Kotschick, D.2
  • 20
    • 84972540623 scopus 로고
    • The construction of ALE spaces as hyper-Kähler quotients
    • P.B. KRONHEIMER, The construction of ALE spaces as hyper-Kähler quotients, J. Diff. Geom 29 (1989), 665-683.
    • (1989) J. Diff. Geom , vol.29 , pp. 665-683
    • Kronheimer, P.B.1
  • 21
    • 0011414553 scopus 로고
    • Counter-examples to the generalized positive action conjecture
    • C. LEBRUN, Counter-examples to the generalized positive action conjecture, Comm. Math. Phys. 118 (1988), 591-596.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 591-596
    • Lebrun, C.1
  • 24
    • 0000313028 scopus 로고
    • Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces
    • C. LEBRUN, M. SINGER, Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces, Invent. Math. 112 (1993), 273-313.
    • (1993) Invent. Math. , vol.112 , pp. 273-313
    • Lebrun, C.1    Singer, M.2
  • 25
    • 0000404473 scopus 로고
    • A Kummer-type construction of self-dual 4-manifolds
    • C. LEBRUN, M. SINGER, A Kummer-type construction of self-dual 4-manifolds, Math. Ann. 300 (1994), 165-180.
    • (1994) Math. Ann. , vol.300 , pp. 165-180
    • Lebrun, C.1    Singer, M.2
  • 27
    • 0000900395 scopus 로고
    • Regularity for the singular Yamabe problem
    • R.R. MAZZEO, Regularity for the singular Yamabe problem, Indiana Univ. Math. J. 9 (1991), 303-344.
    • (1991) Indiana Univ. Math. J. , vol.9 , pp. 303-344
    • Mazzeo, R.R.1
  • 28
    • 0002080089 scopus 로고
    • Analytic surgery and the eta invariant
    • R.R. MAZZEO, R.B. MELROSE, Analytic surgery and the eta invariant, Geom. Funct. Anal. 5 (1995), 14-75.
    • (1995) Geom. Funct. Anal. , vol.5 , pp. 14-75
    • Mazzeo, R.R.1    Melrose, R.B.2
  • 29
    • 0039003658 scopus 로고    scopus 로고
    • Gluing and moduli for noncompact geometric problems, Geometric theory of singular phenomena in partial differential equations (Cortona, 1995)
    • Cambridge University Press
    • R.R. MAZZEO, D. POLLACK, Gluing and moduli for noncompact geometric problems, Geometric theory of singular phenomena in partial differential equations (Cortona, 1995). Sympos. Math. 38, Cambridge University Press, 1998.
    • (1998) Sympos. Math. , vol.38
    • Mazzeo, R.R.1    Pollack, D.2
  • 31
    • 0001342082 scopus 로고
    • Nonlinear gravitons and curved twistor theory
    • R. PENROSE, Nonlinear gravitons and curved twistor theory, Gen. Relativ. Grav. 1 (1976), 31-52.
    • (1976) Gen. Relativ. Grav. , vol.1 , pp. 31-52
    • Penrose, R.1
  • 33
    • 84972541774 scopus 로고
    • The existence of anti-self-dual conformal structures
    • C.H. TAUBES, The existence of anti-self-dual conformal structures, J. Diff. Geom. 36 (1992), 163-253.
    • (1992) J. Diff. Geom. , vol.36 , pp. 163-253
    • Taubes, C.H.1
  • 34
    • 0039519326 scopus 로고    scopus 로고
    • Metrics, connections and gluing theorems
    • AMS
    • C.H. TAUBES, Metrics, Connections and Gluing Theorems, Reg. Conf. Ser. in Math. 89, AMS, 1996.
    • (1996) Reg. Conf. Ser. in Math. , vol.89
    • Taubes, C.H.1
  • 35
    • 51249190611 scopus 로고
    • On locally conformal almost Kähler manifolds
    • I. VAISMAN, On locally conformal almost Kähler manifolds, Israel J. Math. 24 (1976), 338-351.
    • (1976) Israel J. Math. , vol.24 , pp. 338-351
    • Vaisman, I.1
  • 36
    • 0040110921 scopus 로고    scopus 로고
    • PhD thesis, SUNY at Stony Brook
    • JIAN ZHOU, PhD thesis, SUNY at Stony Brook.
    • Zhou, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.