Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. do Carmo and N. Wallach, Minimal immersions of spheres into spheres, Ann. of Math. 95 (1971), 43–62.
D. Ferus, Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele, Manuscripta Math. 12 (1974), 153–162.
Y. Kitagawa and Y. Ohnita, On the mean curvature of R-spaces, Math. Ann. 262 (1983), 239–243.
S. Kobayashi and T. Nagano, On filtered Lie algebras and geometric structures I, J.Math.Mech. 13 no.5 (1964), 875–907.
K. Mashimo, Degree of the standard isometric minimal immersions of the symmetric spaces of rank one into spheres, Tsukuba J.Math. 5 (1981), 291–297.
T. Nagano, Transformation groups on compact symmetric spaces, Trans.Amer.Math.Soc. 118 (1965), 428–453.
T. Nagura, On the lengths of the second fundamental forms of R-spaces, Osaka J.Math. 14 (1977), 207–223.
H. Naitoh, Totally real parallel submanifolds in Pn(c), Tokyo J.Math. 4 no.2 (1981), 291–306.
Y. Ohnita, The degrees of the standard imbeddings of R-spaces, Tohoku Math.J. 35 (1983), 499–502.
K. Sakamoto, Planar geodesic immersions, Tohoku Math.J. 29 (1977), 25–56.
T. Takahashi, Minimal immersions of Riemannian manifolds, J.Math.Soc.Japan 18 (1966), 380–385.
M. Takeuchi, Cell decompositions and Morse equalities on certain symmetric spaces, J.Fac.Sci.Univ.Tokyo, Ser I, 12 (1965) 81–192.
M. Takeuchi and S. Kobayashi, Minimal imbeddings of R-spaces, J.Diff.Geom. 2 (1968), 203–215.
M. Takeuchi, Modern theory of spherical functions (in Japanese), Iwanami, Tokyo, 1975.
M. Takeuchi, On stability of certain minimal submanifolds of compact Hermitian symmetric spaces, preprint.
N. Wallach, Minimal immersions of symmetric spaces into spheres, in Symmetric Spaces (W.B. Boothby and G.L. Weiss, eds.), Marcel Dekker, New Nork, 1972, 1–40.
I. Yokota, Simply connected compact simple Lie groups E6(–78) of type E6 and its involutive automorphisms, J.Math.Kyoto Univ. 20–3 (1980), 447–473.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Ohnita, Y. (1984). The first standard minimal immersions of compact irreducible symmetric spaces. In: Kenmotsu, K. (eds) Differential Geometry of Submanifolds. Lecture Notes in Mathematics, vol 1090. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101565
Download citation
DOI: https://doi.org/10.1007/BFb0101565
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13873-0
Online ISBN: 978-3-540-39065-7
eBook Packages: Springer Book Archive