메뉴 건너뛰기




Volumn 57, Issue 5, 2005, Pages 1012-1055

Deformations of G2 and Spin(7) structures

Author keywords

Cross product; Holonomy; Metrics

Indexed keywords


EID: 26644460198     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2005-039-x     Document Type: Article
Times cited : (109)

References (27)
  • 3
    • 0000858090 scopus 로고
    • Metrics with exceptional holonomy
    • R. L. Bryant, Metrics with Exceptional Holonomy. Ann. of Math. 126(1987), 525-576.
    • (1987) Ann. of Math. , vol.126 , pp. 525-576
    • Bryant, R.L.1
  • 4
    • 33744751689 scopus 로고
    • On the construction of some complete metrics with exceptional holonomy
    • R. L. Bryant and S. M. Salamon, On the Construction of Some Complete Metrics with Exceptional Holonomy. Duke Math. J. 58(1989), 829-850.
    • (1989) Duke Math. J. , vol.58 , pp. 829-850
    • Bryant, R.L.1    Salamon, S.M.2
  • 7
    • 34250130814 scopus 로고
    • A classification of riemannian manifolds with structure group Spin(7)
    • M. Fernández, A Classification of Riemannian Manifolds with Structure Group Spin(7). Ann. Mat. Pura Appl. (IV) 143(1986), 101-122.
    • (1986) Ann. Mat. Pura Appl. (IV) , vol.143 , pp. 101-122
    • Fernández, M.1
  • 8
    • 84972519657 scopus 로고
    • 2
    • 2. J. Differential Geom. 26(1987), 367-370.
    • (1987) J. Differential Geom. , vol.26 , pp. 367-370
  • 11
    • 0040200035 scopus 로고    scopus 로고
    • 2-manifolds
    • 2-Manifolds. Illinois J. Math. 44(2000), 363-391.
    • (2000) Illinois J. Math. , vol.44 , pp. 363-391
  • 12
    • 84968520480 scopus 로고
    • Vector cross products on manifolds
    • A. Gray, Vector Cross Products on Manifolds. Trans. Amer. Math. Soc. 141(1969), 463-504;
    • (1969) Trans. Amer. Math. Soc. , vol.141 , pp. 463-504
    • Gray, A.1
  • 13
    • 85039385737 scopus 로고    scopus 로고
    • Errata to "Vector Cross Products on Manifolds". 148(1970), 625
    • Errata to "Vector Cross Products on Manifolds". 148(1970), 625.
  • 14
    • 34250448466 scopus 로고
    • Weak holonomy groups
    • _, Weak Holonomy Groups. Math. Z. 123(1971), 290-300.
    • (1971) Math. Z. , vol.123 , pp. 290-300
  • 15
    • 33644749757 scopus 로고
    • The sixteen classes of almost hermitian manifolds and their linear invariants
    • A. Gray and L. M. Hervella, The Sixteen Classes of Almost Hermitian Manifolds and Their Linear Invariants. Ann. Mat. Pura Appl. (4) 123(1980), 35-58.
    • (1980) Ann. Mat. Pura Appl. (4) , vol.123 , pp. 35-58
    • Gray, A.1    Hervella, L.M.2
  • 18
    • 0034215422 scopus 로고    scopus 로고
    • The geometry of three-forms in six and seven dimensions
    • N. Hitchin, The Geometry of Three-Forms in Six and Seven Dimensions. J. Differential Geom. 55(2000), 547-576.
    • (2000) J. Differential Geom. , vol.55 , pp. 547-576
    • Hitchin, N.1
  • 19
    • 0003279753 scopus 로고    scopus 로고
    • Stable forms and special metrics
    • Global Differential Geometry: The Mathematical Legacy of Alfred Gray
    • _, Stable Forms and Special Metrics. Global Differential Geometry: The Mathematical Legacy of Alfred Gray, Contemp. Math. 288(2001).
    • (2001) Contemp. Math. , vol.288
  • 21
    • 0030093202 scopus 로고    scopus 로고
    • 2. II
    • 2. II. J. Differential Geom. 43(1996), 329-375.
    • (1996) J. Differential Geom. , vol.43 , pp. 329-375
  • 22
    • 0030534174 scopus 로고    scopus 로고
    • Compact 8-manifolds with holonomy Spin(7)
    • _, Compact 8-Manifolds with Holonomy Spin(7). Invent. Math. 123(1996), 507-552.
    • (1996) Invent. Math. , vol.123 , pp. 507-552
  • 25
    • 85039365728 scopus 로고    scopus 로고
    • in preparation
    • 2 holonomy. in preparation.
    • 2 Holonomy
  • 27
    • 84980156699 scopus 로고
    • On the ricci curvature of a compact kähler manifold and the complex monge-ampère equation I. Comm
    • S. T. Yau, On the Ricci Curvature of a Compact Kähler Manifold and the Complex Monge-Ampère Equation I. Comm. Pure Appl. Math. 31(1978), 339-411.
    • (1978) Pure Appl. Math. , vol.31 , pp. 339-411
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.