On Two Conjectures Concerning the Veronese Generating Submanifolds

数学季刊 ›› 1993, Vol. 8 ›› Issue (2): 17-21.

On Two Conjectures Concerning the Veronese Generating Submanifolds

Henan University Kaifeng 475001,Zhengzhou University 450052

收稿日期:1991-05-13 出版日期:1993-06-30 发布日期:2025-06-06
基金资助:
Supported by the National Fundations of Natural Science; Supported by the Henan Fundations of Scientific Committee

On Two Conjectures Concerning the Veronese Generating Submanifolds

Henan University Kaifeng 475001,Zhengzhou University 450052

Received:1991-05-13 Online:1993-06-30 Published:2025-06-06
Supported by:
Supported by the National Fundations of Natural Science; Supported by the Henan Fundations of Scientific Committee

摘要/Abstract

摘要： The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper the conjectures on scalar curvature of Veronese generating submanifolds in Eσ and the minimal conjecture on Veronese space-like submanifold Σ and Veronese pseudo-Riemannian submanifold ... in E₁^σ are proved.We have Σ is minimal in H5. （?） is minimal in .. are of 1-type in E₁^σ.

关键词: , Finite Type Submanifolds, Mnimal Submanifolds, Veronese Generating Submanifolds.

Abstract: The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper the conjectures on scalar curvature of Veronese generating submanifolds in Eσ and the minimal conjecture on Veronese space-like submanifold Σ and Veronese pseudo-Riemannian submanifold ... in E₁^σ are proved.We have Σ is minimal in H5. （?） is minimal in .. are of 1-type in E₁^σ.

Key words: , Finite Type Submanifolds, Mnimal Submanifolds, Veronese Generating Submanifolds.

宋鸿藻, 胡泽军. On Two Conjectures Concerning the Veronese Generating Submanifolds[J]. 数学季刊, 1993, 8(2): 17-21.

Song Hongzao, Hu Zejun. On Two Conjectures Concerning the Veronese Generating Submanifolds[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(2): 17-21.

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On Two Conjectures Concerning the Veronese Generating Submanifolds

On Two Conjectures Concerning the Veronese Generating Submanifolds

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