Pontryagin forms on homogeneous spaces
Copyright policy )Pontryagin forms on homogeneous spaces
It is known that the differential forms which represent characteristic classes carry extra geometric information beyond the topological (i.e. cohomological) information. The author shows how to compute the forms for a homogeneous space K/H, with K and H being compact Lie groups, in terms of roots of K and their projections into H. By this computational method he proves the following theorem: The homogeneous space SU(n)/SU(k) does not immerse isometrically in codimension less than 2 min([k/2],[(n- k)/2]).
- Cornell University United States
- DigiZeitschriften Germany
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Immersions in differential topology, Article, Pontryagin forms, 510.mathematics, Differential geometry of homogeneous manifolds, Homology and cohomology of homogeneous spaces of Lie groups, Characteristic classes and numbers in differential topology, homogeneous space, isometric immersion, compact Lie groups, characteristic classes
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Immersions in differential topology, Article, Pontryagin forms, 510.mathematics, Differential geometry of homogeneous manifolds, Homology and cohomology of homogeneous spaces of Lie groups, Characteristic classes and numbers in differential topology, homogeneous space, isometric immersion, compact Lie groups, characteristic classes
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