Browsing by Subject "Hopf's conjecture"
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Totally geodesic surfaces and the Hopf's conjecture.
(2011-10-13)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. ...