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Parallel submanifolds of complex space forms II

Published online by Cambridge University Press:  22 January 2016

Hiroo Naitoh
Hiroo Naitoh*
Affiliation:
Department of Mathematics, Yamaguchi University, Yamaguchi 753, Japan
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This is a continuation of Part I, which appeared in this journal.

In the previous paper I we have defined the following notions: orthogonal Jordan triple system (OJTS), orthogonal symmetric graded Lie algebra (OSGLA), orthogonal Jordan algebra (OJA), Hermitian symmetric graded Lie algebra (HSGLA). And we have shown that equivalent classes of OJTS naturally correspond to equivalent classes of OSGLA and through this correspondence we have naturally constructed HSGLA’s from the OJTS’s associated with OJA’s with unity.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 91 , September 1983 , pp. 119 - 149
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

References

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