Results 51 to 60 of about 86 (86)
Noether invariants for constant mean curvature surfaces in 3-dimensional homogeneous spaces
, 2013 We give explicit formulæ for Noether invariants associated to Killing vector fields for the variational problem of minimal and constant mean curvature sur-faces in 3-manifolds.
Cartier, Sébastien, Sébastien Cartier
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Saddle towers in Heisenberg space
, 2014 We construct most symmetric Saddle towers in Heisenberg space i.e. periodic minimal surfaces that can be seen as the desingularization of vertical planes intersecting equiangularly.
Cartier, Sébastien, Sébastien Cartier
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The Construction of Doubly Periodic Minimal Surfaces via Balance Equations
, 2009 . Using Traizet’s regeneration method, we prove the existence of many new 3-dimensional families of embedded, doubly periodic minimal surfaces. All these families have a foliation of R3 by vertical planes as a limit.
Peter Connor, Matthias Weber
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A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
, 2007 We obtain a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space.
Huai-Dong Cao, Ying Shen, Shunhui Zhu
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© Hindawi Publishing Corp. ON THE MODULI SPACE OF SUPERMINIMAL SURFACES IN SPHERES
, 2001 Using a birational correspondence between the twistor space of S2n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S2n of degree d as curves of degree d in projective space satisfying a ...
Luis Fernández
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Curvature estimates and stability properties of CMC-submanifolds in space forms
, 1999 In this survey paper, we review several results connecting geometric properties (compactness, finiteness of the Morse index, caracterization of stable surfaces) and curvature estimates for constant mean curvature submanifolds in simply-connected space ...
Pierre Berard, Walcy Santos
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Quadratic Harmonic Morphisms and O-Systems
, 1995 We introduce O-systems (Definition 3.1) of orthogonal transformations of R m , and establish 1 \Gamma 1 correspondences both between equivalence classes of Clifford systems and that of O-systems, and between Osystems and orthogonal multiplications of ...
Theta R, Ye-lin Ou
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The smoothness of Riemannian submersions with non-negative sectional curvature
, 2008 Let M n be a complete, non-compact and C ∞-smooth Riemannian manifold with nonnegative sectional curvature. Suppose that S is a soul of M n given by the fundamental theory of Cheeger and Gromoll, and suppose that Ψ: M n → S is a distance nonincreasing ...
Mei-chi Shaw, Jianguo Cao
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Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
J Inequal Appl, 2018 Siddiqui AN, Shahid MH, Lee JW.
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