×

The tightness of extrinsic symmetric submanifolds. (English) Zbl 0488.53041


MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)

Citations:

Zbl 0165.249
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Ferus, D.: Totale Absolutkrümmung in Differentialgeometrie und-topologie. Lecture Notes in Mathematics66. Berlin-Heidelberg-New York: Springer 1968 · Zbl 0201.23801
[2] Ferus, D.: Symmetric Submanifolds of Euclidean Space. Math. Ann.247, 81-93 (1980) · Zbl 0446.53041 · doi:10.1007/BF01359868
[3] Floyd, E.E.: On Periodic Maps and the Euler Characteristic of Associated Spaces. Trans. Amer. Soc.72, 138-147 (1952) · Zbl 0046.16603 · doi:10.1090/S0002-9947-1952-0046039-4
[4] Kuiper, N.H.: Tight Embeddings and Maps. Submanifolds of Geometrical Class Three inE N . In: The Chern Symposium 1979. Proceedings of the International Symposium on Differential Geometry in Honor of S.S. Chern (Berkeley 1979). New York-Heidelberg-Berlin: Springer 1980
[5] Strübing, W.: Symmetric Submanifolds of Riemannian Manifolds. Math. Ann.245, 37-44 (1979) · Zbl 0424.53025 · doi:10.1007/BF01420428
[6] Takeuchi, M.: Cell Decompositions and Morse Equalities on Certain Symmetric Spaces. J. Fac. Sci. Univ. Tokyo, Sect. I A Math.12, 81-192 (1965) · Zbl 0144.22804
[7] Takeuchi, M., Koayashi, S.: Minimal Imbedding ofR-Spaces. J. Differential Geometry2, 203-215 (1968)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.