Abstract
The geometric properties for Gaussian image of submanifolds in a sphere are investigated. The computation formula, geometric equalities and inequalities for the volume of Gaussian image of certain submanifolds in a sphere are obtained.
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Supported by the National Natural Science Foundation of China(10231010), Trans-Century Training Programme Foundation for Talents by the Ministry of Education of China, and the Natural Science Foundation of Zhejiang Province(101037).
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Xu, H., Zhang, W. Geometric properties for Gaussian image of submanifolds in S n+p(1). Appl. Math. Chin. Univ. 22, 371–377 (2007). https://doi.org/10.1007/s11766-007-0315-1
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DOI: https://doi.org/10.1007/s11766-007-0315-1