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SUN Hua-fei, TANG Li, CHEN Chun. On Submanifolds in Locally Symmetric and Conformally Flat Riemannian Manifolds[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(2): 208-211.

Citation:

SUN Hua-fei, TANG Li, CHEN Chun. On Submanifolds in Locally Symmetric and Conformally Flat Riemannian Manifolds[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(2): 208-211.

SUN Hua-fei, TANG Li, CHEN Chun. On Submanifolds in Locally Symmetric and Conformally Flat Riemannian Manifolds[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(2): 208-211.

Citation:

SUN Hua-fei, TANG Li, CHEN Chun. On Submanifolds in Locally Symmetric and Conformally Flat Riemannian Manifolds[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(2): 208-211.

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On Submanifolds in Locally Symmetric and Conformally Flat Riemannian Manifolds

School of Science, Beijing Institute of Technology, Beijing100081, China

Funds:SponsoredbytheNationalFundforStudyingAbroad(2001498)

Received Date:2003-11-26

Abstract

Abstract

Let N n+p be an (n+p)-dimensional locally symmetric and conformally flat Riemannian manifold and Mn be an n-dimensional compact submanifold minimally immersed in N n+p. Instead of (n+p)-dimensional unit sphere, we generalize Pinching Theorems about submanifolds in unit sphere and get theorems about submanifolds in locally symmetric and conformally flat Riemannian manifold.
- locally symmetric,
- conformally flat,
- minimal submanifold

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References (6)

References

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