Isometric immersions of warped products

Differential Geometry and its Application

Volumn 6, Issue 1, 1996, Pages 1-30

  Nölker, Stefan ^a,b  

^a UNIVERSITY OF COLOGNE   (Germany)

^b NONE   (Germany)

Author keywords

Decomposition of standard spaces of constant curvature; Decomposition of submanifolds; Warped product

Indexed keywords

EID: 0030095312     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/0926-2245(96)00004-6     Document Type: Article

References (13)

1. [1] E. Backes, Einige Beiträge zur Theorie symmetrischer Immersionen in Räume konstanter Krümmung, Doctoral Thesis, Köln, 1982.
2. [2] E. Backes and H. Reckziegel, On symmetric submanifolds of spaces of constant curvature, Math. Ann. 263 (1983) 419-433.
3. [3] R.L. Bishop and B. O'Neill, Manifolds of negative curvature, Trans. Am. Math. Soc. 145 (1969) 1-49.
4. [4] M. Do Carmo and M. Dajczer, Rotation hypersurfaces in spaces of constant curvature, Trans. Am. Math. Soc. 277 (1983) 685-709.
5. [5] F. Dillen and S. Nölker, Semi-parallelity, multi-rotation surfaces and the helix-property, J. Reine Angew. Math. 435 (1993) 33-63.
6. [6] N. Ejiri, A generalization of minimal cones, Trans. Am. Math. Soc. 276 (1983) 347-360.
7. [7] D. Perus, Product-Zerlegung von Immersionen mit paralleler zweiter Fundamentalform, Math. Ann. 211 (1974) 1-5.
8. [8] S. Hiepko, Eine innere Kennzeichnung der verzerrten Produkte, Math. Ann. 241 (1979) 209-215.
9. [9] R. Molzan, Extrinsische Produkte und symmetrische Untermannigfaltigkeiten in Standardräumen konstanter und konstanter holomorpher Krümmung, Doctoral Thesis, Köln, 1983.
10. [10] J.D. Moore, Isometric immersions of Riemannian products, J. Diff. Geom. 5 (1971) 159-168.
11. [11] B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity (Academic Press, New York, 1983).
12. [12] G. De Rham, Sur la réductibilité d'un espace de Riemann, Comment. Math. Helv. 26 (1952) 328-344.
13. [13] J.A. Wolf, Spaces of Constant Curvature (Mc Graw-Hill, New York, 1967).