The Journal of the Indian Mathematical Society

Ravindra S. Kulkarni ¹

Affiliations
1 Department of Mathematics, The Johns Hopkins Univ, Baltimore. Md., US

Abstract

E. CABTAN constructed "spin representations" over the complex numbers. Chevalley [2] observed that Cartan's construction can be carried out for a quadratic form of maximal index over an arbitrary ground field k. In this case the representations turn out to be rational over k.

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Ravindra S. Kulkarni ¹

Affiliations
1 Harvard University, US

Abstract

In the problem of classification of manifolds with respect to curvature properties, the manifolds admitting a metric with sectional curvature of a given sign, form a natural subclass.

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