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- Universidade do Estado do Rio de JaneiroBR4 papers
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math.DG2009
Dirac operators on cobordisms: degenerations and surgery
Daniel F. Cibotaru, Liviu I. Nicolaescu
We investigate the Dolbeault operator on a pair of pants, i.e., an elementary cobordism between a circle and the disjoint union of two circles. This operator induces a canonical se…
math.DG2008
Knots in Riemannian manifolds
Fuquan Fang, S. Mendonca
In this paper we study submanifold with nonpositive extrinsic curvature in a positively curved manifold. Among other things we prove that, if is a totally geode…
math.DG2007
Polar actions on compact Euclidean hypersurfaces
Ion Moutinho, Ruy Tojeiro
Given an isometric immersion of a compact Riemannian manifold of dimension into Euclidean space of dimension , we prove that the identity c…