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Volumn 328, Issue 4, 2004, Pages 711-748

On the holonomy of connections with skew-symmetric torsion

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EID: 1842433802     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-003-0507-9     Document Type: Article
Times cited : (92)

References (29)
  • 1
    • 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, 535-563 (2003)
    • (2003) Comm. Math. Phys. , vol.232 , pp. 535-563
    • Agricola, I.1
  • 2
    • 0242679645 scopus 로고    scopus 로고
    • Killing spinors in supergravity with 4-fluxes
    • Agricola, I., Friedrich, Th.: Killing spinors in supergravity with 4-fluxes, Class. Quant. Grav. 20, 4707-4717 (2003)
    • (2003) Class. Quant. Grav. , vol.20 , pp. 4707-4717
    • Agricola, I.1    Friedrich, Th.2
  • 3
    • 1842557184 scopus 로고    scopus 로고
    • The Casimir operator of a metric connection with totally skew-symmetric torsion
    • to appear
    • Agricola, I., Friedrich, Th.: The Casimir operator of a metric connection with totally skew-symmetric torsion, to appear in Jour. Geom. Phys.
    • Jour. Geom. Phys.
    • Agricola, I.1    Friedrich, Th.2
  • 4
    • 0003232385 scopus 로고
    • Twistors and Killing spinors on Riemannian manifolds
    • Teubner-Verlag Stuttgart/Leipzig
    • Baum, H., Friedrich, Th., Grunewald, R., Kath, I.: Twistors and Killing spinors on Riemannian manifolds. Teubner-Texte zur Mathematik, Band 124, Teubner-Verlag Stuttgart/Leipzig, 1991
    • (1991) Teubner-texte zur Mathematik , vol.124
    • Baum, H.1    Friedrich, Th.2    Grunewald, R.3    Kath, I.4
  • 5
    • 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, 307-319 (2001)
    • (2001) Ann. Global Anal. Geom. , vol.19 , pp. 307-319
    • Belgun, F.1    Moroianu, A.2
  • 6
    • 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, 681-699 (1989)
    • (1989) Math. Ann. , vol.284 , pp. 681-699
    • Bismut, J.M.1
  • 7
    • 0003389096 scopus 로고    scopus 로고
    • 3-Sasakian manifolds
    • C. LeBrun and M. Wang, (eds.), International Press
    • Boyer, C.P., Galicki, K.: 3-Sasakian manifolds. In: Essays on Einstein manifolds, C. LeBrun and M. Wang, (eds.), International Press, 1999
    • (1999) Essays on Einstein Manifolds
    • Boyer, C.P.1    Galicki, K.2
  • 9
    • 0000956024 scopus 로고
    • Sur une généralisation de la notion de courbure de Riemann et les espaces à torsion
    • Cartan, E.: Sur une généralisation de la notion de courbure de Riemann et les espaces à torsion. C. R. Ac. Sc. 174, 593-595 (1922)
    • (1922) C. R. Ac. Sc. , vol.174 , pp. 593-595
    • Cartan, E.1
  • 10
    • 0001235262 scopus 로고
    • Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie)
    • Cartan, E.: Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie). Ann. Ec. Norm. Sup. 40, 325-412 (1923); et Ann. Ec. Norm. Sup. 41, 1-25 (1924)
    • (1923) Ann. Ec. Norm. Sup. , vol.40 , pp. 325-412
    • Cartan, E.1
  • 11
    • 0002374397 scopus 로고
    • Cartan, E.: Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie). Ann. Ec. Norm. Sup. 40, 325-412 (1923); et Ann. Ec. Norm. Sup. 41, 1-25 (1924)
    • (1924) Ann. Ec. Norm. Sup. , vol.41 , pp. 1-25
  • 12
    • 0010780993 scopus 로고
    • Sur les variétés à connexion affine et la théorie de la relativité généralisée (deuxième partie)
    • Cartan, E.: Sur les variétés à connexion affine et la théorie de la relativité généralisée (deuxième partie). Ann. Ec. Norm. Sup. 42, 17-88 (1925)
    • (1925) Ann. Ec. Norm. Sup. , vol.42 , pp. 17-88
    • Cartan, E.1
  • 13
    • 0005210670 scopus 로고
    • Les récentes généralisations de la notion d'espace
    • Cartan, E.: Les récentes généralisations de la notion d'espace. Bull. Sc. Math. 48, 294-320 (1924)
    • (1924) Bull. Sc. Math. , vol.48 , pp. 294-320
    • Cartan, E.1
  • 14
    • 34250130814 scopus 로고
    • A classification of Riemannian manifolds with structure group Spin(7)
    • Fernandez, M.: A classification of Riemannian manifolds with structure group Spin(7). Ann. Mat. Pura Appl. 143, 101-122 (1986)
    • (1986) Ann. Mat. Pura Appl. , vol.143 , pp. 101-122
    • Fernandez, M.1
  • 16
    • 0001587075 scopus 로고
    • Der erste Eigenwert des Dirac Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
    • Friedrich, Th.: Der erste Eigenwert des Dirac Operators einer kompakten Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung. Math. Nachr. 97, 117-146 (1980)
    • (1980) Math. Nachr. , vol.97 , pp. 117-146
    • Friedrich, Th.1
  • 17
    • 0003315313 scopus 로고    scopus 로고
    • Dirac operators in Riemannian geometry
    • AMS, Privence, Rhode Island
    • Friedrich, Th.: Dirac operators in Riemannian geometry. Graduate Studies in Mathematics 25, AMS, Privence, Rhode Island, 2000
    • (2000) Graduate Studies in Mathematics , vol.25
    • Friedrich, Th.1
  • 19
    • 0013312726 scopus 로고    scopus 로고
    • Parallel spinors and connections with skew-symmetric torsion in string theory
    • Friedrich, Th., Ivanov, S.: Parallel spinors and connections with skew-symmetric torsion in string theory. Asian J. Math. 6, 303-336 (2002)
    • (2002) Asian J. Math. , vol.6 , pp. 303-336
    • Friedrich, Th.1    Ivanov, S.2
  • 20
    • 0037863061 scopus 로고    scopus 로고
    • Almost contact manifolds, connections with torsion and parallel spinors
    • Friedrich, Th., Ivanov, S.: Almost contact manifolds, connections with torsion and parallel spinors. J. Reine Angew. Math. 559, 217-236 (2003)
    • (2003) J. Reine Angew. Math. , vol.559 , pp. 217-236
    • Friedrich, Th.1    Ivanov, S.2
  • 22
    • 0000799519 scopus 로고
    • Compact seven-dimensional manifolds with Killing spinors
    • Friedrich, Th., Kath, I.: Compact seven-dimensional manifolds with Killing spinors. Comm. Math. Phys. 133, 543-561 (1990)
    • (1990) Comm. Math. Phys. , vol.133 , pp. 543-561
    • Friedrich, Th.1    Kath, I.2
  • 24
    • 0003279753 scopus 로고    scopus 로고
    • Stable forms and special metrics
    • Hitchin, N.: Stable forms and special metrics, Contemp. Math. 288, 70-89 (2001)
    • (2001) Contemp. Math. , vol.288 , pp. 70-89
    • Hitchin, N.1
  • 27
    • 0000365450 scopus 로고
    • Spin manifolds, Killing spinors and universality of the Hijazi inequality
    • Lichnerowicz, A.: Spin manifolds, Killing spinors and universality of the Hijazi inequality. Lett. Math. Phys. 13, 331-344 (1987)
    • (1987) Lett. Math. Phys. , vol.13 , pp. 331-344
    • Lichnerowicz, A.1
  • 28
    • 0000399988 scopus 로고
    • On the structure of the Einstein-Cartan equations
    • Trautman, A.: On the structure of the Einstein-Cartan equations. Symp. Math. 12, 139-162 (1973)
    • (1973) Symp. Math. , vol.12 , pp. 139-162
    • Trautman, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.