Homeomorphism and diffeomorphism types of Eschenburg spaces

Differential Geometry and its Application

Volumn 7, Issue 1, 1997, Pages 41-50

  Astey, L ^a   Micha, E ^a   Pastor, G ^b  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b INSTITUTO TECNOLÓGICO AUTÓNOMO DE MÉXICO   (Mexico)

Author keywords

Eschenburg spaces; Homeomorphism and diffeomorphism types

Indexed keywords

EID: 0031093875     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(96)00034-4     Document Type: Article

References (10)

1. [1] S. Aloff and N. Wallach, An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures, Bull. Amer. Math. Soc. 81 (1975) 93-97.
2. [2] C.P. Boyer, K. Galicki and B.M. Mann, The geometry and topology of 3-Sasakian manifolds, University of New Mexico and Max-Planck-Institute preprints, June 1993.
3. [3] J.H. Eschenburg, New examples of manifolds with strictly positive curvature, Invent. Math. 66 (1982) 469-480.
4. [4] J.H. Eschenburg, Freie isometrische Aktionen auf kompakten Lie-Gruppen mit positiv gekrümmten Orbiträumen, Schr. Math. Inst. Univ. Münster 32 (2) (1984).
5. [5] J.H. Eschenburg, Cohomology of biquotients, Manuscripta Math. 75 (1992) 151-166.
6. [6] J.H. Eschenburg, Inhomogeneous spaces of positive curvature, Diff. Geom. Appl. 2 (1992) 123-132.
7. [7] M. Kreck and S. Stolz, A diffeomorphism classification of 7-dimensional homogeneous Einstein manifolds with SU (3) × SU (2) × U (1)-symmetry, Ann. of Math. 127 (1988) 373-388.
8. [8] M. Kreck and S. Stolz, Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature, J. Diff. Geo. 33 (1991) 465-486.
9. [9] L.J. Mordell, Diophantine Equations (Academic Press, London and New York, 1969).
10. [10] W. Singhof, On the topology of double coset manifolds, Math. Ann. 297 (1993) 133-146.