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Totally geodesic submanifolds of maximal rank in symmetric spaces

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Abstract

We gave a complete list of totally geodesic submanifolds of maximal rank in symmetric spaces of noncompact type. The compact cases can be obtained by the duality

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References

  1. Chen, B. Y., Nagano, T. Totally geodesic submanifolds of symmetric spaces II, Duke Math. J., 1978, (45): 405–425.

    Article  MathSciNet  MATH  Google Scholar 

  2. Helgason, S., Differential Geometry, Lie Groups and Symmetric Spaces, New York: Academic Press, 1978.

    MATH  Google Scholar 

  3. Wolf, J. A., Ellipitic spaces in Grassmann manifolds, Illinois J. Math., 1963, (7): 447–462.

    MathSciNet  MATH  Google Scholar 

  4. Borel, A., Siebenthal, J. D., Les sous-groupes fermés de rang maximum des gropes de Lie clos, Comment. Math. Helv., 1949, (23): 200–221.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Ke Liang.

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Zhu, F., Liang, K. Totally geodesic submanifolds of maximal rank in symmetric spaces. Sci. China Ser. A-Math. 47, 264–271 (2004). https://doi.org/10.1360/03ys0069

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  • DOI: https://doi.org/10.1360/03ys0069

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