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Volumn 227, Issue 3, 1998, Pages 455-463

Invariant metrics of positive Ricci curvature on principal bundles

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EID: 0032370024     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004385     Document Type: Article
Times cited : (25)

References (25)
  • 1
    • 84972506465 scopus 로고
    • Short geodesics and gravitational instantons
    • M. T. Anderson, Short geodesics and gravitational instantons, J. Diff. Geom.31 (1990), 265-275.
    • (1990) J. Diff. Geom. , vol.31 , pp. 265-275
    • Anderson, M.T.1
  • 2
    • 51249177326 scopus 로고
    • Metrics of positive Ricci curvature with large diameters
    • M. T. Anderson, Metrics of positive Ricci curvature with large diameters, Man. Math. 68 (1990), 405-415.
    • (1990) Man. Math. , vol.68 , pp. 405-415
    • Anderson, M.T.1
  • 3
    • 84972500378 scopus 로고
    • Métriques riemanniennes et courbure
    • T. Aubin, Métriques riemanniennes et courbure, J. Diff. Geom. 4 (1970), 383-424.
    • (1970) J. Diff. Geom. , vol.4 , pp. 383-424
    • Aubin, T.1
  • 4
    • 0011540608 scopus 로고
    • Certains fibrés à courbure de Ricci positive
    • L. Bérard Bergery, Certains fibrés à courbure de Ricci positive, C. R. Acad. Sc. Paris 286 (1978), 929-931.
    • (1978) C. R. Acad. Sc. Paris , vol.286 , pp. 929-931
    • Bergery, L.B.1
  • 5
    • 0000258452 scopus 로고
    • Quelques exemples des variétés riemanniennes complètes non compactes à courbure de Ricci positive
    • L. Bérard Bergery, Quelques exemples des variétés riemanniennes complètes non compactes à courbure de Ricci positive, C. R. Acad. Sc. Paris 302 (1986), 159-161.
    • (1986) C. R. Acad. Sc. Paris , vol.302 , pp. 159-161
    • Bergery, L.B.1
  • 7
    • 48549111709 scopus 로고
    • SU (3) × SU (2) × U (1) from D = 11 supergravity
    • L. Castellani, R. D'Auria, and P. Fré ,SU (3) × SU (2) × U (1) from D = 11 supergravity, Nuclear Phys. B 239 (1984), 610-652.
    • (1984) Nuclear Phys. B , vol.239 , pp. 610-652
    • Castellani, L.1    D'Auria, R.2    Fré, P.3
  • 8
    • 84972518375 scopus 로고
    • Some examples of manifolds of non-negative curvature
    • J. Cheeger, Some examples of manifolds of non-negative curvature, J. Diff. Geom. 8 (1973), 623-628
    • (1973) J. Diff. Geom. , vol.8 , pp. 623-628
    • Cheeger, J.1
  • 9
    • 0009423544 scopus 로고
    • Naturally reductive metrics and Einstein metrics on compact Lie groups
    • J. D'Atri and W. Ziller, Naturally reductive metrics and Einstein metrics on compact Lie groups, Mem. Amer. Math. Soc. 215 (1979).
    • (1979) Mem. Amer. Math. Soc. , vol.215
    • D'Atri, J.1    Ziller, W.2
  • 10
    • 48749136374 scopus 로고
    • n = 2 matter coupled supergravity from compactification on a coset G / H possessing an additional killing vector
    • R. D'Auria, P. Fré, and P. van Nieuwenhuizen, n = 2 matter coupled supergravity from compactification on a coset G / H possessing an additional killing vector, Phys. Lett. B. 136 (1984), 347-353.
    • (1984) Phys. Lett. B. , vol.136 , pp. 347-353
    • D'Auria, R.1    Fré, P.2    Van Nieuwenhuizen, P.3
  • 12
    • 84972536395 scopus 로고
    • Examples of complete manifolds with positive Ricci curvature
    • D. Gromoll and W. Meyer, Examples of complete manifolds with positive Ricci curvature, J. Diff. Geom. 21 (1985), 195-211.
    • (1985) J. Diff. Geom. , vol.21 , pp. 195-211
    • Gromoll, D.1    Meyer, W.2
  • 13
    • 84972510086 scopus 로고
    • Einstein metrics on principal fiber bundles
    • G. Jensen, Einstein metrics on principal fiber bundles, J. Diff. Geom. 8 (1973), 599-614.
    • (1973) J. Diff. Geom. , vol.8 , pp. 599-614
    • Jensen, G.1
  • 14
    • 84972578218 scopus 로고
    • Topology of positively pinched Kaehler manifolds
    • S. Kobyashi, Topology of positively pinched Kaehler manifolds, Tohôku Math. J. 15 (1963), 121-139.
    • (1963) Tohôku Math. J. , vol.15 , pp. 121-139
    • Kobyashi, S.1
  • 15
    • 0041088100 scopus 로고
    • Sur les variétés riemanniennes complètes à courbure de Ricci positive
    • P. Nabonnand, Sur les variétés riemanniennes complètes à courbure de Ricci positive, C. R. Acad. Sci. 291A (1980), 591-593.
    • (1980) C. R. Acad. Sci. , vol.291 A , pp. 591-593
    • Nabonnand, P.1
  • 16
    • 84972500834 scopus 로고
    • Positive Ricci curvature on fiber bundles
    • J. C. Nash, Positive Ricci curvature on fiber bundles, J. Diff. Geom. 14 (1979), 241-265.
    • (1979) J. Diff. Geom. , vol.14 , pp. 241-265
    • Nash, J.C.1
  • 17
    • 0000962696 scopus 로고
    • The fundamental equations of a submersion
    • B. O'Neill, The fundamental equations of a submersion. Mich. Math. J. 13 (1966), 459-469.
    • (1966) Mich. Math. J. , vol.13 , pp. 459-469
    • O'Neill, B.1
  • 18
    • 0000048909 scopus 로고
    • Some exotic spheres with positive Ricci curvature
    • W. A. Poor, Some exotic spheres with positive Ricci curvature, Math. Annalen 216 (1975), 245-252.
    • (1975) Math. Annalen , vol.216 , pp. 245-252
    • Poor, W.A.1
  • 20
    • 51249171927 scopus 로고
    • Connection metrics of nonnegative curvature on vector bundles
    • M. Strake and G. Walschap, Connection metrics of nonnegative curvature on vector bundles, Manuscripta Math. 66 (1990), 309-318.
    • (1990) Manuscripta Math. , vol.66 , pp. 309-318
    • Strake, M.1    Walschap, G.2
  • 21
    • 85025420179 scopus 로고
    • Fat bundles and symplectic manifolds
    • A. Weinstein, Fat bundles and symplectic manifolds, Adv. in Math. 37 (1980), 239-250.
    • (1980) Adv. in Math. , vol.37 , pp. 239-250
    • Weinstein, A.1
  • 22
    • 0001119995 scopus 로고
    • On normal homogeneous Einstein manifolds
    • M. Y. Wang and W. Ziller, On normal homogeneous Einstein manifolds, Ann. Sci. Ecole Norm. Sup. 18 (1985), 563-633.
    • (1985) Ann. Sci. Ecole Norm. Sup. , vol.18 , pp. 563-633
    • Wang, M.Y.1    Ziller, W.2
  • 23
    • 0000081924 scopus 로고
    • Existence and non existence of homogeneous Einstein metrics
    • M. Y. Wang and W. Ziller, Existence and non existence of homogeneous Einstein metrics, Invent Math 84 (1986), 177-194.
    • (1986) Invent Math , vol.84 , pp. 177-194
    • Wang, M.Y.1    Ziller, W.2
  • 24
    • 84972541966 scopus 로고
    • Einstein metrics on principal torus bundles
    • M. Y. Wang and W. Ziller, Einstein metrics on principal torus bundles, J. Diff. Geom. 31 (1990), 215-248.
    • (1990) J. Diff. Geom. , vol.31 , pp. 215-248
    • Wang, M.Y.1    Ziller, W.2
  • 25
    • 84968508677 scopus 로고
    • Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups
    • G. Wei, Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups, Bull. A. M. S. 19 (1988), 311-313.
    • (1988) Bull. A. M. S. , vol.19 , pp. 311-313
    • Wei, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.