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Totally geodesic surfaces and the Hopf's conjecture

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dc.creator Perdomo, Oscar spa
dc.date.accessioned 2011-10-13T19:52:06Z
dc.date.available 2011-10-13T19:52:06Z
dc.date.issued 2011-10-13
dc.identifier.uri http://hdl.handle.net/10893/1762
dc.description.abstract Let g be a riemannian metric on [S.sup.2] x [S.sup.2]. In this paper we will show that if ([S.sup.2] x [S.sup.2], g) contains a totally geodesic torus, then [S.sup.2] x [S.sup.2] does not have positive sectional curvature. Then, we use the formula for the second variation of energy to rule out a family of metrics from having positive sectional curvature. spa
dc.language.iso en spa
dc.subject Riemannian metric spa
dc.subject Totally geodesic surfaces spa
dc.subject Hopf's conjecture spa
dc.title Totally geodesic surfaces and the Hopf's conjecture spa
dc.type Article spa
dc.rights.accessrights openAccess spa


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