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Volumn 266, Issue , 2000, Pages 351-374

Recent advances in the theory of holonomy

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EID: 0037495307     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (18)

References (37)
  • 1
    • 21244486559 scopus 로고
    • Riemannian spaces with unusual holonomy groups
    • D. ALEKSEEVSKII - Riemannian spaces with unusual holonomy groups, Funct. Anal. Appl. 2 (1968), 97-105.
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 97-105
    • Alekseevskii, D.1
  • 2
    • 79953688384 scopus 로고
    • Classification of quaternionic spaces with a transitive solvable group of motions
    • D. ALEKSEEVSKII - Classification of quaternionic spaces with a transitive solvable group of motions, Math. USSR-Izv 9 (1975), 297-339.
    • (1975) Math. USSR-Izv , vol.9 , pp. 297-339
    • Alekseevskii, D.1
  • 4
    • 0007541185 scopus 로고
    • On the holonomy of Lorentzian manifolds
    • L. BÉRARD-BERGERY - On the holonomy of Lorentzian manifolds, Proc. Symp. Pure Math. 54 (1993), 27-40.
    • (1993) Proc. Symp. Pure Math. , vol.54 , pp. 27-40
    • Bérard-Bergery, L.1
  • 5
    • 0012230189 scopus 로고    scopus 로고
    • Sur l'holonomie des variétés pseudo-riemanniennes de signature (n,n)
    • L. BÉRARD-BERGERY and A. IKEMAKHEN - Sur l'holonomie des variétés pseudo-riemanniennes de signature (n,n), Bull. Soc. Math. France 125 (1997), 93-114.
    • (1997) Bull. Soc. Math. France , vol.125 , pp. 93-114
    • Bérard-Bergery, L.1    Ikemakhen, A.2
  • 6
    • 0000416310 scopus 로고
    • Sur les groupes d'holonomie des variétés à connexion affine et des variétés riemanniennes
    • M. BERGER, Sur les groupes d'holonomie des variétés à connexion affine et des variétés riemanniennes, Bull. Soc. Math. France 83 (1955), 279-330.
    • (1955) Bull. Soc. Math. France , vol.83 , pp. 279-330
    • Berger, M.1
  • 7
    • 0002990713 scopus 로고
    • Les espaces symétriques non compacts
    • M. BERGER - Les espaces symétriques non compacts, Ann. Sci. École Norm. Sup. 74 (1957), 85-177.
    • (1957) Ann. Sci. École Norm. Sup. , vol.74 , pp. 85-177
    • Berger, M.1
  • 9
    • 0041548095 scopus 로고
    • Groupes d'holonomie des variétés riemanniennes
    • A. BOREL and A. LICHNEROWICZ - Groupes d'holonomie des variétés riemanniennes, C.R. Acad. Sci. Paris 234 (1952), 1835-1837.
    • (1952) C.R. Acad. Sci. Paris , vol.234 , pp. 1835-1837
    • Borel, A.1    Lichnerowicz, A.2
  • 11
    • 0000858090 scopus 로고
    • Metrics with exceptional holonomy
    • R. BRYANT - Metrics with exceptional holonomy, Ann. Math. 126 (1987), 525-576.
    • (1987) Ann. Math. , vol.126 , pp. 525-576
    • Bryant, R.1
  • 12
    • 0002940497 scopus 로고
    • Two exotic holonomies in dimension four, path geometries, and twistor theory
    • R. BRYANT - Two exotic holonomies in dimension four, path geometries, and twistor theory, Amer. Math. Soc. Proc. Symp. Pure Math. 53 (1991), 33-88.
    • (1991) Amer. Math. Soc. Proc. Symp. Pure Math. , vol.53 , pp. 33-88
    • Bryant, R.1
  • 14
    • 0003342291 scopus 로고
    • Exterior Differential Systems
    • Springer-Verlag
    • R. BRYANT, et al - Exterior Differential Systems, MSRI Series 18, Springer-Verlag, 1991.
    • (1991) MSRI Series , vol.18
    • Bryant, R.1
  • 15
    • 33744751689 scopus 로고
    • On the construction of some complete metrics with exceptional holonomy
    • R. BRYANT and S. 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.1    Salamon, S.2
  • 16
    • 33747168434 scopus 로고
    • La Géometrie des Espaces de Riemann
    • Especially, Chapitre VII, Section II
    • É. CARTAN - La Géometrie des Espaces de Riemann, Mémorial des Sciences Mathématiques, Fasc. IX (1925). (Especially, Chapitre VII, Section II.)
    • (1925) Mémorial des Sciences Mathématiques, Fasc. , vol.9
    • Cartan, É.1
  • 17
    • 51249162386 scopus 로고
    • Les groupes d'holonomie des espaces généralisés
    • É. CARTAN - Les groupes d'holonomie des espaces généralisés, Acta. Math. 48 (1926), 1-42.
    • (1926) Acta. Math. , vol.48 , pp. 1-42
    • Cartan, É.1
  • 18
    • 0030492126 scopus 로고    scopus 로고
    • On the existence of infinite series of exotic holonomies
    • Q.-S. CHI, S. MERKULOV, and L. SCHWACHHÖFER - On the existence of infinite series of exotic holonomies. Inventiones Math. 126 (1996), 391-411.
    • (1996) Inventiones Math. , vol.126 , pp. 391-411
    • Chi, Q.-S.1    Merkulov, S.2    Schwachhöfer, L.3
  • 19
    • 0032036394 scopus 로고    scopus 로고
    • Exotic holonomy on moduli spaces of rational curves
    • Q.-S. CHI and L. SCHWACHHÖFER - Exotic holonomy on moduli spaces of rational curves, Differential Geom. App. 8 (1998), 105-134.
    • (1998) Differential Geom. App. , vol.8 , pp. 105-134
    • Chi, Q.-S.1    Schwachhöfer, L.2
  • 21
    • 0002299742 scopus 로고    scopus 로고
    • Sub-Riemannian geometry
    • Birkhäuser, Basel
    • Sub-Riemannian geometry, Progr. Math. 144, Birkhäuser, Basel, 1996, 79-323.
    • (1996) Progr. Math. , vol.144 , pp. 79-323
  • 23
    • 0030534174 scopus 로고    scopus 로고
    • Compact 8-manifolds with holonomy Spin(7)
    • D. JOYCE - Compact 8-manifolds with holonomy Spin(7), Inventiones Math. 123 (1996), 507-552.
    • (1996) Inventiones Math. , vol.123 , pp. 507-552
    • Joyce, D.1
  • 25
    • 0000560084 scopus 로고
    • On filtered Lie algebras and geometric structures, II
    • S. KOBAYASHI and K. NAGANO - On filtered Lie algebras and geometric structures, II, J. Math. Mech. 14 (1965), 513-521.
    • (1965) J. Math. Mech. , vol.14 , pp. 513-521
    • Kobayashi, S.1    Nagano, K.2
  • 28
    • 0042550202 scopus 로고
    • Moduli spaces of compact complex submanifolds of complex fibered manifolds
    • S. MERKULOV - Moduli spaces of compact complex submanifolds of complex fibered manifolds, Math. Proc. Camb. Phil. Soc. 118 (1995), 71-91.
    • (1995) Math. Proc. Camb. Phil. Soc. , vol.118 , pp. 71-91
    • Merkulov, S.1
  • 29
    • 21344450860 scopus 로고    scopus 로고
    • Geometry of Kodaira moduli spaces
    • S. MERKULOV - Geometry of Kodaira moduli spaces, Proc. Amer. Math. Soc. 124 (1996), 1499-1506.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1499-1506
    • Merkulov, S.1
  • 30
    • 0031527686 scopus 로고    scopus 로고
    • Existence and geometry of Legendre moduli spaces
    • S. MERKULOV - Existence and geometry of Legendre moduli spaces, Math. Z. 226 (1997), 211-265.
    • (1997) Math. Z. , vol.226 , pp. 211-265
    • Merkulov, S.1
  • 31
    • 85045780802 scopus 로고    scopus 로고
    • Classification of irreducible holonomies of torsion-free affine connections
    • to appear
    • S. MERKULOV and L. SCHWACHHÖFER - Classification of irreducible holonomies of torsion-free affine connections, Ann. Math. (to appear).
    • Ann. Math.
    • Merkulov, S.1    Schwachhöfer, L.2
  • 33
    • 84972531267 scopus 로고
    • Quaternionic Kähler 8-manifolds with positive scalar curvature
    • Y. S. POON and S. SALAMON - Quaternionic Kähler 8-manifolds with positive scalar curvature, J. Differential Geom. 33 (1991), 363-378.
    • (1991) J. Differential Geom. , vol.33 , pp. 363-378
    • Poon, Y.S.1    Salamon, S.2
  • 34
    • 0000895626 scopus 로고
    • Riemannian geometry and holonomy groups
    • Longman Scientific &: Technical, Essex
    • S. SALAMON - Riemannian geometry and holonomy groups, Pitman Research Notes in Math., no. 201, Longman Scientific &: Technical, Essex, 1989.
    • (1989) Pitman Research Notes in Math. , Issue.201
    • Salamon, S.1
  • 35
    • 33747198986 scopus 로고
    • On the number of degrees of freedom of the geodetically moving systems
    • J. SCHOUTEN - On the number of degrees of freedom of the geodetically moving systems, Proc. Kon. Acad. Wet. Amsterdam 21 (1918), 607-613.
    • (1918) Proc. Kon. Acad. Wet. Amsterdam , vol.21 , pp. 607-613
    • Schouten, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.