1,721,191 research outputs found

    Cohomogeneity One Manifolds And Hypersurfaces Of Revolution

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    [No abstract available]11 BSUPPL. 2199215Alekseevsky, D.V., Riemannian manifolds of cohomogeneity one (1989) Col- Loq. Math. Soc. J. Bolyai, 56, pp. 9-22Alekseevsky, A.V., Alekseevsky, D.V., G-manifold with one dimensional orbit space (1992) Adv. Soc. Math., 8, pp. 1-31Besse, A., Einstein manifolds (1987) Ergeb. Math. Grenzgeb, 10 (3). , Springer- Verlag, BerlinBredon, G.E., (1972) Introduction to Compact Transformation Groups, , Acad. Press, New York, LondonDo Carmo, M., Dajczer, M., Rotation hypersurfaces in spaces of constant curvature (1983) Trans. A.M.S., 277, pp. 685-709Carmo, M.D., Dajczer, M., Mercuri, F., Compact conformally flat hypersurfaces (1985) Trans. A.M.S., 288, pp. 189-203Derdzinski, A., Mercuri, F., Noronha, M.H., Manifolds with nonnegative pure curvature operator (1987) Bol. Soc. Bras. Mat., 18, pp. 13-22Jensen, G.R., Homogeneous einstein spaces of dimension 4 (1969) J. Diff. Geom, 3, pp. 309-349Kobayashi, S., Compact homogeneous hypersurfaces (1958) Trans. A.M.S, 88, pp. 137-143Kobayashi, S., Nomizu, K., (1963) Foundations of Differential Geometry, , Wiley, New YorkKulkarni, R.S., Curvature structure and conformal transformations (1970) J. Diff. Geom, 4, pp. 425-451Noronha, M.H., Conformally flat immersions in codimension two (1987) Geometriae Dedicata, 23, pp. 115-130O'Neill, B., Stiel, E., Isometric immersions of constant curvature manifolds (1963) Mich. Math. J., 10, pp. 335-339Podestá, F., Spiro, A., Cohomogeneity one hypersurfaces of the Euclidean space (1995) Ann. Global Anal. Geom., 13, pp. 169-18

    On a Gromoll-Meyer type theorem in globally hyperbolic stationary spacetimes.

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    Following the lines of the celebrated Riemannian result of Gromoll and Meyer, we use infinite dimensional equivariant Morse theory to establish the existence of infinitely many geometrically distinct closed geodesics in a class of globally hyperbolic stationary Lorentzian manifold

    A Weierstrass representation formula for minimal surfaces in H_3 and H^2xR

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    We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional Heisenberg group and in the product of the hyperbolic plane with the real line
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