메뉴 건너뛰기




Volumn 53, Issue 1, 2005, Pages 1-30

Almost Hermitian 6-manifolds revisited

Author keywords

Almost Hermitian manifolds; Connections with torsion

Indexed keywords


EID: 8744269814     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2004.04.009     Document Type: Article
Times cited : (39)

References (40)
  • 1
    • 33646652108 scopus 로고    scopus 로고
    • Almost Hermitian geometry on six-dimensional nilmanifolds
    • Abbena E. Garbiero S. Salamon S. Almost Hermitian geometry on six-dimensional nilmanifolds Ann. Sci. Norm. Sup. 30 2001 147-170
    • (2001) Ann. Sci. Norm. Sup. , vol.30 , pp. 147-170
    • Abbena, E.1    Garbiero, S.2    Salamon, S.3
  • 3
    • 0037279049 scopus 로고    scopus 로고
    • Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
    • Agricola I. Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory Comm. Math. Phys. 232 2003 535-563
    • (2003) Comm. Math. Phys. , vol.232 , pp. 535-563
    • Agricola, I.1
  • 4
    • 1842433802 scopus 로고    scopus 로고
    • On the holonomy of connections with skew-symmetric torsion
    • Agricola I. Friedrich T. On the holonomy of connections with skew-symmetric torsion Math. Ann. 328 2004 711-748
    • (2004) Math. Ann. , vol.328 , pp. 711-748
    • Agricola, I.1    Friedrich, T.2
  • 5
    • 1542508886 scopus 로고    scopus 로고
    • The Casimir operator of a metric connection with skew-symmetric torsion
    • Agricola I. Friedrich T. The Casimir operator of a metric connection with skew-symmetric torsion J. Geom. Phys. 50 2004 188-204
    • (2004) J. Geom. Phys. , vol.50 , pp. 188-204
    • Agricola, I.1    Friedrich, T.2
  • 6
    • 8744241816 scopus 로고    scopus 로고
    • Sp(n)U(1)-connections with parallel totally skew-symmetric torsion
    • math.dg/0311248
    • B. Alexandrov, Sp(n)U(1)-connections with parallel totally skew-symmetric torsion, math.dg/0311248.
    • Alexandrov, B.1
  • 7
    • 0009423544 scopus 로고
    • Naturally reductive metrics and Einstein metrics on compact Lie groups
    • J.E. D'Atri, W. Ziller, Naturally reductive metrics and Einstein metrics on compact Lie groups, Memoirs of AMS No. 215, 1979.
    • (1979) Memoirs of AMS , Issue.215
    • D'Atri, J.E.1    Ziller, W.2
  • 8
    • 0003232385 scopus 로고
    • Twistors and Killing spinors on Riemannian manifolds
    • Teubner-Verlag Leipzig, Stuttgart
    • H. Baum, T. Friedrich, R. Grunewald, I. Kath, Twistors and Killing spinors on Riemannian manifolds, Teubner-Texte zur Mathematik No. 124, Teubner-Verlag Leipzig, Stuttgart, 1991.
    • (1991) Teubner-Texte Zur Mathematik , Issue.124
    • Baum, H.1    Friedrich, T.2    Grunewald, R.3    Kath, I.4
  • 9
    • 0034384410 scopus 로고    scopus 로고
    • On the metric structure of non-Kähler complex surfaces
    • Belgun F. On the metric structure of non-Kähler complex surfaces Math. Ann. 317 2000 1-40
    • (2000) Math. Ann. , vol.317 , pp. 1-40
    • Belgun, F.1
  • 10
    • 0041384390 scopus 로고    scopus 로고
    • Nearly Kähler 6-manifolds with reduced holonomy
    • Belgun F. Moroianu A. Nearly Kähler 6-manifolds with reduced holonomy Ann. Global Anal. Geom. 19 2001 307-319
    • (2001) Ann. Global Anal. Geom. , vol.19 , pp. 307-319
    • Belgun, F.1    Moroianu, A.2
  • 11
    • 0000966931 scopus 로고
    • A local index theorem for non-Kählerian manifolds
    • Bismut J.M. A local index theorem for non-Kählerian manifolds Math. Ann. 284 1989 681-699
    • (1989) Math. Ann. , vol.284 , pp. 681-699
    • Bismut, J.M.1
  • 12
    • 8744226092 scopus 로고    scopus 로고
    • Classification des varietes approximativement kähleriennes homogenes
    • math.dg/0401152
    • J.-B. Butruille, Classification des varietes approximativement kähleriennes homogenes, math.dg/0401152.
    • Butruille, J.-B.1
  • 13
    • 1842490766 scopus 로고    scopus 로고
    • 2-structures
    • Valencia, 2001, Word Scientific, River Edge, NJ
    • 2-structures, Differential Geometry, Valencia, 2001, Word Scientific, River Edge, NJ, 2002, pp. 115-133.
    • (2002) Differential Geometry , pp. 115-133
    • Chiossi, S.1    Salamon, S.2
  • 14
    • 8744240753 scopus 로고    scopus 로고
    • Einstein metrics via intrinsic or parallel torsion
    • math.dg/0211446
    • R. Cleyton, A. Swann, Einstein metrics via intrinsic or parallel torsion, math.dg/0211446.
    • Cleyton, R.1    Swann, A.2
  • 16
    • 2442600557 scopus 로고    scopus 로고
    • Families of strong KT structures in six dimensions
    • math.dg/0209259
    • A. Fino, M. Porton, S. Salamon, Families of strong KT structures in six dimensions, math.dg/0209259.
    • Fino, A.1    Porton, M.2    Salamon, S.3
  • 17
    • 0001587075 scopus 로고
    • Der erste Eigenwert des Dirac Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
    • Friedrich T. Der erste Eigenwert des Dirac Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung Math. Nachr. 97 1980 117-146
    • (1980) Math. Nachr. , vol.97 , pp. 117-146
    • Friedrich, T.1
  • 18
    • 0003315313 scopus 로고    scopus 로고
    • Dirac Operators in Riemannian Geometry
    • AMS, Providence
    • T. Friedrich, Dirac Operators in Riemannian Geometry, Graduate Studies in Mathematics, vol. 25, AMS, Providence, 2000.
    • (2000) Graduate Studies in Mathematics , vol.25
    • Friedrich, T.1
  • 19
    • 1842452525 scopus 로고    scopus 로고
    • On types of non-integrable geometries
    • Friedrich T. On types of non-integrable geometries Rend. Circ. Mat. di Palermo 71 2003 99-113
    • (2003) Rend. Circ. Mat. Di Palermo , vol.71 , pp. 99-113
    • Friedrich, T.1
  • 20
    • 0038307437 scopus 로고    scopus 로고
    • Spin(9)-structures and connections with totally skew-symmetric torsion
    • Friedrich T. Spin(9)-structures and connections with totally skew-symmetric torsion J. Geom. Phys. 47 2003 197-206
    • (2003) J. Geom. Phys. , vol.47 , pp. 197-206
    • Friedrich, T.1
  • 21
    • 0040694371 scopus 로고
    • On the first eigenvalue of the Dirac operator on six-dimensional manifolds
    • Friedrich T. Grunewald R. On the first eigenvalue of the Dirac operator on six-dimensional manifolds Ann. Global Anal. Geom. 3 1985 265-273
    • (1985) Ann. Global Anal. Geom. , vol.3 , pp. 265-273
    • Friedrich, T.1    Grunewald, R.2
  • 22
    • 0013312726 scopus 로고    scopus 로고
    • Parallel spinors and connections with skew-symmetric torsion in string theory
    • Friedrich T. Ivanov S. Parallel spinors and connections with skew-symmetric torsion in string theory Asian J. Math. 6 2002 303-336
    • (2002) Asian J. Math. , vol.6 , pp. 303-336
    • Friedrich, T.1    Ivanov, S.2
  • 23
    • 0000073755 scopus 로고
    • Compact four-dimensional self-dual Einstein manifolds with positive scalar curvature
    • Friedrich T. Kurke H. Compact four-dimensional self-dual Einstein manifolds with positive scalar curvature Math. Nachr. 106 1982 271-299
    • (1982) Math. Nachr. , vol.106 , pp. 271-299
    • Friedrich, T.1    Kurke, H.2
  • 24
    • 33644761349 scopus 로고    scopus 로고
    • Calabi-Yau connections with torsion on toric bundles
    • math.dg/0306207
    • D. Grantcharov, G. Grantcharov, Y.S. Poon, Calabi-Yau connections with torsion on toric bundles, math.dg/0306207.
    • Grantcharov, D.1    Grantcharov, G.2    Poon, Y.S.3
  • 25
    • 84968469764 scopus 로고
    • Almost complex submanifolds of the six sphere
    • Gray A. Almost complex submanifolds of the six sphere Proc. Am. Math. Soc. 20 1969 277-279
    • (1969) Proc. Am. Math. Soc. , vol.20 , pp. 277-279
    • Gray, A.1
  • 26
    • 84972575284 scopus 로고
    • Six-dimensional almost complex manifolds defined by means of the three-fold vector cross products
    • Gray A. Six-dimensional almost complex manifolds defined by means of the three-fold vector cross products Tohoku Math. J. II Ser. 21 1969 614-620
    • (1969) Tohoku Math. J. II Ser. , vol.21 , pp. 614-620
    • Gray, A.1
  • 27
    • 84972513638 scopus 로고
    • Nearly Kähler manifolds
    • Gray A. Nearly Kähler manifolds J. Diff. Geom. 4 1970 283-310
    • (1970) J. Diff. Geom. , vol.4 , pp. 283-310
    • Gray, A.1
  • 28
    • 0000586076 scopus 로고
    • The structure of nearly Kähler manifolds
    • Gray A. The structure of nearly Kähler manifolds Math. Ann. 223 1976 233-248
    • (1976) Math. Ann. , vol.223 , pp. 233-248
    • Gray, A.1
  • 29
    • 33644749757 scopus 로고
    • The sixteen classes of almost Hermitian manifolds and their linear invariants
    • Gray A. Hervella L. The sixteen classes of almost Hermitian manifolds and their linear invariants Ann. di Mat. Pura ed Appl. 123 1980 35-58
    • (1980) Ann. Di Mat. Pura Ed Appl. , vol.123 , pp. 35-58
    • Gray, A.1    Hervella, L.2
  • 30
    • 0001988433 scopus 로고
    • Six-dimensional Riemannian manifolds with real Killing spinors
    • Grunewald R. Six-dimensional Riemannian manifolds with real Killing spinors Ann. Glob. Anal. Geom. 8 1990 43-59
    • (1990) Ann. Glob. Anal. Geom. , vol.8 , pp. 43-59
    • Grunewald, R.1
  • 31
    • 84972518035 scopus 로고
    • On compact four-dimensional Einstein manifolds
    • Hitchin N. On compact four-dimensional Einstein manifolds J. Diff. Geom. 9 1974 435-442
    • (1974) J. Diff. Geom. , vol.9 , pp. 435-442
    • Hitchin, N.1
  • 33
    • 0141436144 scopus 로고
    • K-spaces of maximal rank
    • Kirichenko V. K-spaces of maximal rank Mat. Zam. 22 1977 465-476
    • (1977) Mat. Zam. , vol.22 , pp. 465-476
    • Kirichenko, V.1
  • 34
    • 0033573187 scopus 로고    scopus 로고
    • A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
    • Kostant B. A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups Duke Math. J. 100 1999 447-501
    • (1999) Duke Math. J. , vol.100 , pp. 447-501
    • Kostant, B.1
  • 35
    • 8744287880 scopus 로고
    • On 6-dimensional almost Tachibana spaces
    • Matsumoto M. On 6-dimensional almost Tachibana spaces Tensor N. S. 23 1972 250-282
    • (1972) Tensor N. S. , vol.23 , pp. 250-282
    • Matsumoto, M.1
  • 36
    • 8744268750 scopus 로고    scopus 로고
    • Nearly Kähler geometry and Riemannian foliations
    • Nagy P.-A. Nearly Kähler geometry and Riemannian foliations Asian J. Math. 6 2002 481-504
    • (2002) Asian J. Math. , vol.6 , pp. 481-504
    • Nagy, P.-A.1
  • 38
    • 84972521823 scopus 로고
    • Some properties of 6-dimensional K-spaces
    • Takamatsu K. Some properties of 6-dimensional K-spaces Kodai Math. Sem. Rep. 23 1971 215-232
    • (1971) Kodai Math. Sem. Rep. , vol.23 , pp. 215-232
    • Takamatsu, K.1
  • 39
    • 0000093526 scopus 로고
    • Locally conformal Kähler manifolds with parallel Lee form
    • Vaisman I. Locally conformal Kähler manifolds with parallel Lee form Rendiconti di Matem. Roma 12 1979 263-284
    • (1979) Rendiconti Di Matem. Roma , vol.12 , pp. 263-284
    • Vaisman, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.