Now showing items 1-1 of 1

    • Totally geodesic surfaces and the Hopf's conjecture 

      Perdomo, Oscar (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. ...