Stable Gauss maps from a global viewpoint

Invitation and Truth in Global Relation from the Islamic Viewpoint

Relative Compactness and Product Stable Quotient Maps

Stable Exponentially Harmonic Maps Between Finsler Manifolds

A Note on Higher Order Gauss Maps

We study Gauss maps of order k, associated to a projective variety X embedded in projective space via a line bundle L. We show that if X is a smooth, complete complex variety and L is a k-jet spanned line bundle on X , with k > 1, then the Gauss map of order k has finite fibers, unless X = Pn is embedded by the Veronese embedding of order k. In the case where X is a toric variety, we give a com...

Fold Maps and Immersions from the Viewpoint of Cobordism

We obtain complete geometric invariants of cobordism classes of oriented simple fold maps of (n+ 1)-dimensional manifolds into an n-dimensional manifold N in terms of immersions with prescribed normal bundles. We compute that for N = R the cobordism group of simple fold maps is isomorphic to the direct sum of the (n−1)th stable homotopy group of spheres and the (n − 1)th stable homotopy group o...