Totally real minimal submanifolds in [QP^n(c)]

• Autorzy: Ximin L.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove some pinching theorems with respect to the scalar curvatures of 4-dimensional projectively flat (conharmonically flat) totally real minimal submanifolds in [QP^4(c)].

Słowa kluczowe

EN

curvature pinching; quaternion projective space; totally real submanifold

PL

geometria różniczkowa; podrozmaitość całowita rzeczywista; przestrzeń rzutowa

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no. 2
• Strony: 211--214
• Opis fizyczny: Bibliogr. 6 poz.,

Twórcy

autor

Ximin L.

• Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China

Bibliografia

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• [3] Yibing Shen, Totally real minimal submanifolds in a quaternion projective space, Chin. Ann. of Math., 14В (1993) 297-306.
• [4] P. Desai, K. Amur, On symmetric spaces, Tensor, N.S., 29 (1975) 119-124.
• [5] Anmin Li, Jimin L i, An intrinsic regidity theorem for minimal submanifolds in a sphere, Arch. Math., 58 (1992) 582-594.
• [6] Y. Ishii, On conharmonic transformations, Tensor, N.S., 7 (1957) 73-80.