메뉴 건너뛰기




Volumn 59, Issue 1, 1999, Pages 345-358

Circle actions and Morse theory on quaternion-Kähler manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000732965     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610798006930     Document Type: Article
Times cited : (16)

References (33)
  • 1
    • 21244486559 scopus 로고
    • Riemannian spaces with exceptional holonomy groups
    • D. V. ALEKSEEVSKII, 'Riemannian spaces with exceptional holonomy groups', Funct. Anal. Appl. 2 (1968) 97-105; 'Compact quaternion spaces', Funct. Anal. Appl. 2 (1968) 106-114.
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 97-105
    • Alekseevskii, D.V.1
  • 2
    • 21244470446 scopus 로고
    • Compact quaternion spaces
    • D. V. ALEKSEEVSKII, 'Riemannian spaces with exceptional holonomy groups', Funct. Anal. Appl. 2 (1968) 97-105; 'Compact quaternion spaces', Funct. Anal. Appl. 2 (1968) 106-114.
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 106-114
  • 3
    • 79953688384 scopus 로고
    • Classification of quaternionic spaces with transitive solvable group of motions
    • D. V. ALEKSEEVSKII, 'Classification of quaternionic spaces with transitive solvable group of motions', Math. USSR-Izv. 9 (1975) 297-339.
    • (1975) Math. USSR-Izv. , vol.9 , pp. 297-339
    • Alekseevskii, D.V.1
  • 4
    • 84874962985 scopus 로고
    • Convexity and commuting Hamiltonians
    • M. F. ATIYAH, 'Convexity and commuting Hamiltonians', Bull. London Math. Soc. 14 (1982) 1-15.
    • (1982) Bull. London Math. Soc. , vol.14 , pp. 1-15
    • Atiyah, M.F.1
  • 6
    • 0009781709 scopus 로고
    • The moment map and equivariant cohomology
    • M. F. ATIYAH and R. BOTT, 'The moment map and equivariant cohomology', Topology 23 (1984) 1-28.
    • (1984) Topology , vol.23 , pp. 1-28
    • Atiyah, M.F.1    Bott, R.2
  • 7
    • 0003277369 scopus 로고
    • The topology of torus actions on symplectic manifolds
    • M. AUDIN, 'The topology of torus actions on symplectic manifolds', Progr. Math. 93 (1991).
    • (1991) Progr. Math. , vol.93
    • Audin, M.1
  • 9
    • 21344457838 scopus 로고    scopus 로고
    • 1 actions on quaternion-Kähler manifolds
    • 1 actions on quaternion-Kähler manifolds', Proc. Amer. Math. Soc. (7) (1996) 2185-2192.
    • (1996) Proc. Amer. Math. Soc. , Issue.7 , pp. 2185-2192
    • Battaglia, F.1
  • 12
    • 0010001923 scopus 로고    scopus 로고
    • The structure of hyperkähler and quaternionic Kähler quotients
    • eds. J. E. Andersen et al.; Marcel Dekker
    • A. DANCER and A. SWANN, 'The structure of hyperkähler and quaternionic Kähler quotients', Lecture Notes in Pure and Applied Mathematics 184 (eds. J. E. Andersen et al.; Marcel Dekker, 1996) 313-320.
    • (1996) Lecture Notes in Pure and Applied Mathematics , vol.184 , pp. 313-320
    • Dancer, A.1    Swann, A.2
  • 13
    • 0010894379 scopus 로고
    • Special geometry, cubic polynomials and homogeneous space
    • B. DE WIT and A. VAN PROETYEN, 'Special geometry, cubic polynomials and homogeneous space', Comm. Math. Phys. 149 (1992) 307-333.
    • (1992) Comm. Math. Phys. , vol.149 , pp. 307-333
    • De Wit, B.1    Van Proetyen, A.2
  • 14
    • 0000436504 scopus 로고
    • A generalization of the momentum mapping construction for quaternionic Kähler manifolds
    • K. GALICKI, 'A generalization of the momentum mapping construction for quaternionic Kähler manifolds', Comm. Math. Phys. 108 (1987) 117-138.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 117-138
    • Galicki, K.1
  • 15
    • 0000176491 scopus 로고
    • Multi-centre metrics with negative comological constant
    • K. GALICKI, 'Multi-centre metrics with negative comological constant', Classical Quantum Gravity 8 (1991) 1529-1543.
    • (1991) Classical Quantum Gravity , vol.8 , pp. 1529-1543
    • Galicki, K.1
  • 16
    • 33646852332 scopus 로고
    • Quaternionic reduction and quaternionic orbifolds
    • K. GALICKI and H. B. LAWSON, '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.2
  • 17
    • 34250225402 scopus 로고
    • Calibrated geometries
    • R. HARVEY and H. B. LAWSON, 'Calibrated geometries', Acta Math. 148 (1982) 47-157.
    • (1982) Acta Math. , vol.148 , pp. 47-157
    • Harvey, R.1    Lawson, H.B.2
  • 18
    • 84959731878 scopus 로고
    • Kählerian twistor spaces
    • N. J. HITCHIN, 'Kählerian twistor spaces', Proc. London Math. Soc. 43 (1981) 133-150.
    • (1981) Proc. London Math. Soc. , vol.43 , pp. 133-150
    • Hitchin, N.J.1
  • 19
  • 21
    • 0000670499 scopus 로고
    • Quaternionic geometry of a nilpotent variety
    • P. Z. KOBAK and A. SWANN, 'Quaternionic geometry of a nilpotent variety', Math. Ann. 297 (1993) 747-764.
    • (1993) Math. Ann. , vol.297 , pp. 747-764
    • Kobak, P.Z.1    Swann, A.2
  • 24
    • 84855500578 scopus 로고
    • Holonomy and the Lie algebra of infinitesimal motions of Riemannian manifolds
    • B. KOSTANT, 'Holonomy and the Lie algebra of infinitesimal motions of Riemannian manifolds', Trans. Amer. Math. Soc. 80 (1955) 528-542.
    • (1955) Trans. Amer. Math. Soc. , vol.80 , pp. 528-542
    • Kostant, B.1
  • 25
    • 84973997659 scopus 로고
    • On complete quaternionic-Kähler manifolds
    • C. R. LEBRUN, 'On complete quaternionic-Kähler manifolds', Duke Math. J. 63 (1991) 723-743.
    • (1991) Duke Math. J. , vol.63 , pp. 723-743
    • Lebrun, C.R.1
  • 26
    • 0001053860 scopus 로고
    • Strong rigidity of positive quaternion-Kähler manifolds
    • C. R. LEBRUN and S. M. SALAMON, 'Strong rigidity of positive quaternion-Kähler manifolds', Invent. Math. 118 (1994) 109-132.
    • (1994) Invent. Math. , vol.118 , pp. 109-132
    • Lebrun, C.R.1    Salamon, S.M.2
  • 27
    • 0004190360 scopus 로고
    • Princeton University Press
    • J. MILNOR, Morse theory (Princeton University Press, 1963).
    • (1963) Morse Theory
    • Milnor, J.1
  • 28
    • 38149146893 scopus 로고
    • Complex strucures on quaternionic manifolds
    • M. PONTECORVO, 'Complex strucures on quaternionic manifolds', Differential Geom. Appl. 4 (1994) 163-177.
    • (1994) Differential Geom. Appl. , vol.4 , pp. 163-177
    • Pontecorvo, M.1
  • 29
    • 84972531267 scopus 로고
    • Eight-dimensional quaternionic Kähler manifolds with positive scalar curvature
    • Y. S. POON and S. SALAMON, 'Eight-dimensional quaternionic Kähler 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
  • 30
    • 0002125267 scopus 로고
    • Quaternionic Kähler manifolds
    • S. M. SALAMON, 'Quaternionic Kähler manifolds', Invent. Math. 67 (1982) 143-171.
    • (1982) Invent. Math. , vol.67 , pp. 143-171
    • Salamon, S.M.1
  • 31
    • 0000895626 scopus 로고
    • Riemannian geometry and holonomy groups
    • Longman Scientific
    • S. M. SALAMON, Riemannian geometry and holonomy groups, Pitman Research Notes in Mathematics 201 (Longman Scientific, 1989).
    • (1989) Pitman Research Notes in Mathematics , vol.201
    • Salamon, S.M.1
  • 32
    • 0000905632 scopus 로고
    • Hyperkähler and quaternionic-Kähler geometry
    • A. SWANN, 'Hyperkähler and quaternionic-Kähler geometry', Math. Ann. 289 (1991) 421-450.
    • (1991) Math. Ann. , vol.289 , pp. 421-450
    • Swann, A.1
  • 33
    • 0000500536 scopus 로고
    • Complex homogeneous contact structures and quaternionic symmetric spaces
    • J. A. WOLF, 'Complex homogeneous contact structures and quaternionic symmetric spaces', J. Math. Mech. 14 (1965) 1033-1047.
    • (1965) J. Math. Mech. , vol.14 , pp. 1033-1047
    • Wolf, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.