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Volumn 12, Issue 1-2, 2004, Pages 183-211

Global existence of the m-equivariant Yang-Mills flow in four dimensional spaces

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EID: 4043122493     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.2004.v12.n1.a10     Document Type: Article
Times cited : (21)

References (26)
  • 1
    • 0002692175 scopus 로고
    • Magnetic monopoles in hyperbolic space
    • [A] Tata Institute of Fundamental research, Bombay
    • [A] M. F. Atiyah, Magnetic monopoles in hyperbolic space, Vector Bundles on Algebraic varieties, Tata Institute of Fundamental research, Bombay (1984), 1-33.
    • (1984) Vector Bundles on Algebraic Varieties , pp. 1-33
    • Atiyah, M.F.1
  • 2
    • 84972508402 scopus 로고
    • Magnetic monopoles on three-manifolds
    • [B]
    • [B] P. Braam, Magnetic monopoles on three-manifolds, J. Diff. Geom. 30 (1989), 425-464.
    • (1989) J. Diff. Geom. , vol.30 , pp. 425-464
    • Braam, P.1
  • 3
    • 84972521494 scopus 로고
    • Finite-time blow up of the heat flow of harmonic maps from surfaces
    • [CDY]
    • [CDY] K.-C. Chang, W.-Y. Ding, and R. Ye, Finite-time blow up of the heat flow of harmonic maps from surfaces, J. Diff. Geom. 36 (1992), 507-515.
    • (1992) J. Diff. Geom. , vol.36 , pp. 507-515
    • Chang, K.-C.1    Ding, W.-Y.2    Ye, R.3
  • 4
    • 0002521307 scopus 로고
    • Existence and partial regular results for the heat flow for harmonic maps
    • [CS]
    • [CS] Y. Chen and M. Struwe, Existence and partial regular results for the heat flow for harmonic maps, Math. Z. 201 (1989), 83-103.
    • (1989) Math. Z. , vol.201 , pp. 83-103
    • Chen, Y.1    Struwe, M.2
  • 5
    • 84959800477 scopus 로고
    • Anti-self-dual Yang-Mills connections on complex algebraic surfaces and stable vector bundles
    • [D]
    • [D] S. K. Donaldson, Anti-self-dual Yang-Mills connections on complex algebraic surfaces and stable vector bundles, Proc. Lond. Math. Soc. 50 (1985), 1-26.
    • (1985) Proc. Lond. Math. Soc. , vol.50 , pp. 1-26
    • Donaldson, S.K.1
  • 6
    • 84972507755 scopus 로고
    • Deforming the metrics in direction of their Ricci tensor
    • [De]
    • [De] D. M. De Turck, Deforming the metrics in direction of their Ricci tensor, J. Diff. Goem. 18 (1985), 157-162.
    • (1985) J. Diff. Goem. , vol.18 , pp. 157-162
    • De Turck, D.M.1
  • 7
    • 0001675252 scopus 로고
    • Harmonic mappings of Riemannian manifolds
    • [ES]
    • [ES] J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109-160.
    • (1964) Amer. J. Math. , vol.86 , pp. 109-160
    • Eells, J.1    Sampson, J.H.2
  • 9
    • 0003271068 scopus 로고
    • The theory of gauge fields in four dimensions
    • [La] Providence, RI: AMS
    • [La] B. Lawson The theory of gauge fields in four dimensions, (CBMS Regional Conference Series, vol 58) Providence, RI: AMS, 1987.
    • (1987) CBMS Regional Conference Series , vol.58
    • Lawson, B.1
  • 11
    • 0003286319 scopus 로고    scopus 로고
    • Nonlinear analysis on manifolds: Sobolev space and inequalities
    • [He] Courant Institute of Mathematical Sciences, New York University
    • [He] E. Hebey, Nonlinear Analysis on manifolds: Sobolev space and inequalities, Courant Lecture notes 5, Courant Institute of Mathematical Sciences, New York University, 1999.
    • (1999) Courant Lecture Notes , vol.5
    • Hebey, E.1
  • 12
    • 0041786672 scopus 로고    scopus 로고
    • Heat flow for Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric
    • [Ho]
    • [Ho] M.-C. Hong, Heat flow for Yang-Mills-Higgs field and the Hermitian Yang-Mills-Higgs metric, Ann. Global Anal. Geom. 20 (2001), 23-46.
    • (2001) Ann. Global Anal. Geom. , vol.20 , pp. 23-46
    • Hong, M.-C.1
  • 14
    • 0002864711 scopus 로고
    • The heat equation and harmonic maps of complete manifolds
    • [LT]
    • [LT] P. Li and L.-F. Tam, The heat equation and harmonic maps of complete manifolds, Invent. Math. 105 (1991), 1-46.
    • (1991) Invent. Math. , vol.105 , pp. 1-46
    • Li, P.1    Tam, L.-F.2
  • 15
    • 0001046466 scopus 로고
    • On the Yang-Mills heat equation in two and three dimensions
    • [R]
    • [R] J. Rade, On the Yang-Mills heat equation in two and three dimensions, J. Reine Angew. Math. 431 (1992), 123-163.
    • (1992) J. Reine Angew. Math. , vol.431 , pp. 123-163
    • Rade, J.1
  • 16
    • 21444459294 scopus 로고    scopus 로고
    • Global existence of the Yang-Mills flow in four dimensions
    • [Sc]
    • [Sc] A. Schlatter, Global existence of the Yang-Mills flow in four dimensions, J. Reine Angew. Math. 479 (1996), 133-147.
    • (1996) J. Reine Angew. Math. , vol.479 , pp. 133-147
    • Schlatter, A.1
  • 17
    • 0043237130 scopus 로고    scopus 로고
    • Long-time behaviour of the Yang-Mills flow in four dimensions
    • [Sc1]
    • [Sc1] A. Schlatter, Long-time behaviour of the Yang-Mills flow in four dimensions, Ann. Global Anal. Geom. 15 (1997), 1-25.
    • (1997) Ann. Global Anal. Geom. , vol.15 , pp. 1-25
    • Schlatter, A.1
  • 18
    • 0000656371 scopus 로고    scopus 로고
    • Global existence of the equivariant Yang-Mills heat flow in four space dimensions
    • [SST]
    • [SST] A. Schlatter, M. Struwe and A. S. Tahvilder-Zadeh, Global existence of the equivariant Yang-Mills heat flow in four space dimensions, Amer. J. Math. 120 (1998), 117-128.
    • (1998) Amer. J. Math. , vol.120 , pp. 117-128
    • Schlatter, A.1    Struwe, M.2    Tahvilder-Zadeh, A.S.3
  • 19
    • 0000137102 scopus 로고
    • Asymptotics for a class of non-linear evolution equations with applications to geometric problems
    • [Si]
    • [Si] L. Simon, Asymptotics for a class of non-linear evolution equations with applications to geometric problems, Annals of Math. 118 (1983), 525-571.
    • (1983) Annals of Math. , vol.118 , pp. 525-571
    • Simon, L.1
  • 20
    • 0001420555 scopus 로고
    • Classification of singular Sobolev connections by their holonomy
    • [SS]
    • [SS] L. M. Sibner and R. J. Sibner, Classification of singular Sobolev connections by their holonomy, Commun. Math. Phys. 144 (1992), 337-350.
    • (1992) Commun. Math. Phys. , vol.144 , pp. 337-350
    • Sibner, L.M.1    Sibner, R.J.2
  • 21
    • 0024331493 scopus 로고
    • Solutions to Yang-Mills equations that are not self-dual
    • [SSU]
    • [SSU] L. M. Sibner, R. J. Sibner and K. Uhlenbeck, Solutions to Yang-Mills equations that are not self-dual, Proc. Natl. Acad. Sci. USA 86 (1989), 8610-8613.
    • (1989) Proc. Natl. Acad. Sci. USA , vol.86 , pp. 8610-8613
    • Sibner, L.M.1    Sibner, R.J.2    Uhlenbeck, K.3
  • 22
    • 51249177065 scopus 로고
    • On the evolution of Harmonic maps of Riemannian surfaces
    • [St1]
    • [St1] M. Struwe, On the evolution of Harmonic maps of Riemannian surfaces, Communt. Math. Helv. 60 (1985), 558-581.
    • (1985) Communt. Math. Helv. , vol.60 , pp. 558-581
    • Struwe, M.1
  • 23
    • 84972503995 scopus 로고
    • On the evolution of harmonic maps in higher dimensions
    • [St2]
    • [St2] M. Struwe, On the evolution of harmonic maps in higher dimensions, J. Diff. Geom. 28 (1988), 485-502.
    • (1988) J. Diff. Geom. , vol.28 , pp. 485-502
    • Struwe, M.1
  • 24
    • 0000016370 scopus 로고
    • The Yang-Mills flow in four dimensions
    • [St3]
    • [St3] M. Struwe, The Yang-Mills flow in four dimensions, Calc. Var. 2 (1994), 123-150.
    • (1994) Calc. Var. , vol.2 , pp. 123-150
    • Struwe, M.1
  • 25
    • 0034344816 scopus 로고    scopus 로고
    • Gauge theory and calibrated geometry, I
    • [Ti]
    • [Ti] G. Tian, Gauge theory and calibrated geometry, I, Annals of Math. 151 (2000), 193-268.
    • (2000) Annals of Math. , vol.151 , pp. 193-268
    • Tian, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.