On a partial product structure

Alois Švec · Czechoslovak Mathematical Journal · 1974

In his paper pubUshed in AnnaH di Mat.(vol.11, 1932, 17-90), E. CARTAN solved the equivalence problem for real hypersurfaces in ^^.Unfortunately, his approach is not very precise and effective.Because of this, I solve the equivalence problem using other more direct methods.In what follows, the equivalence problem has been solved for a class of partial product structures; the results are, evidently, equivalent to those of E. Cartan.The theory of real hypersurfaces in ^" will be treated in another paper.

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