Isotropic immersions of complex space forms into real space forms and mean curvatures

• Autorzy: Boumuki N.
• Języki publikacji: EN

Abstrakty

EN

Using an inequality related to the mean curvature, we give a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel.

Słowa kluczowe

EN

isotropic immersions; parallel immersions; real space forms; complex space forms; quaternionic space forms

PL

immersja izotropowa; immersja równoległa

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 4
• Strony: 431--436
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Boumuki N.

• Department of Mathematics, Faculty of Science and Engineering, Shimane University, Matsue 690-8504, Japan

Bibliografia

• [B] N. Boumuki, Isotropic immersions and parallel immersions of space forms into space forms, Tsukuba J. Math. 28 (2004), 117-126.
• [F-1] D. Ferus, Immersions with parallel second fundamental form, Math. Z. 140 (1974), 87-92.
• [F-2] -, Symmetric submanifolds of Euclidean space, Math. Ann. 247 (1980), 81-93.
• [M] S. Maeda, Remarks on isotropic immersions, Yokohama Math. J. 34 (1986), 83-90.
• [O] B. O'Neill, Isotropic and Kähler immersions, Canad. J. Math. 17 (1965), 905-915.
• [T] M. Takeuchi, Parallel submanifolds of space forms, in: Manifolds and Lie Groups, in honor of Yozô Matsushima, Birkhäuser, Boston, 1981, 429-447.