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On isometric and minimal isometric embeddings
- Source :
- Duke Math. J. 89, no. 3 (1997), 555-576
- Publication Year :
- 1997
- Publisher :
- Duke University Press, 1997.
-
Abstract
- In this paper we study critial isometric and minimal isometric embeddings of classes of Riemannian metrics which we call {\it quasi-$k$-curved metrics}. Quasi-$k$-curved metrics generalize the metrics of space forms. We construct explicit examples and prove results about existence and rigidity.<br />21 pages, AMSTeX. Significantly changed version of paper originally Titled "On minimal isometric embeddings"
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
General Mathematics
010102 general mathematics
Mathematical analysis
Rigidity (psychology)
Isometric exercise
Construct (python library)
53C42
Space (mathematics)
01 natural sciences
Differential Geometry (math.DG)
0103 physical sciences
FOS: Mathematics
Mathematics::Differential Geometry
010307 mathematical physics
0101 mathematics
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Duke Math. J. 89, no. 3 (1997), 555-576
- Accession number :
- edsair.doi.dedup.....d136f7ec1dc840075f4a9feeba21ce86