In the present paper, the authors study totally real 2-harmonic submanifolds in a quasi constant holomorphic sectional curvature space and obtain a Simons' type integral inequality of compact submanifolds as well ...In the present paper, the authors study totally real 2-harmonic submanifolds in a quasi constant holomorphic sectional curvature space and obtain a Simons' type integral inequality of compact submanifolds as well as some pinching theorems on the second fundamental form.展开更多
In this paper,the author proves the necessary and sufficient condition for the existence of 2-harmonically and isometrically immersed curves in a 2-dimensinonal surface N∪→IE^3.
基金Foundation item: Supported by the National Natural Science Foundation of China(ll071005) Supported by the Natural Science Foundation of Anhui Province Education Department(KJ2008A05zC)
文摘In the present paper, the authors study totally real 2-harmonic submanifolds in a quasi constant holomorphic sectional curvature space and obtain a Simons' type integral inequality of compact submanifolds as well as some pinching theorems on the second fundamental form.
文摘In this paper,the author proves the necessary and sufficient condition for the existence of 2-harmonically and isometrically immersed curves in a 2-dimensinonal surface N∪→IE^3.