Results 51 to 60 of about 93 (91)
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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Li-Yau inequalities for the Helfrich functional and applications. [PDF]
Calc Var Partial Differ Equ, 2023 Rupp F, Scharrer C.
europepmc +1 more source
© Hindawi Publishing Corp. CONSTANT MEAN CURVATURE HYPERSURFACES WITH CONSTANT δ-INVARIANT
, 2003 We completely classify constant mean curvature hypersurfaces (CMC) with con-stant δ-invariant in the unit 4-sphere S4 and in the Euclidean 4-space E4. 2000 Mathematics Subject Classification: 53C40, 53B25, 53C42. 1. Introduction.
Oscar J. Garay, Bang-yen Chen
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The Stekloff Problem for Rotationally Invariant Metrics on the Ball [PDF]
, 2013 . Let (Br, g) be a ball of radius r > 0 in R n (n ≥ 2) endowed with a rotationally invariant metric ds 2 + f 2 (s)dw 2 , where dw 2 represents the standard metric on S n−1 , the (n−1)-dimensional unit sphere.
El Problema De Stekloff +2 more
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Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds
, 2019 In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the ...
Uddin, Siraj +2 more
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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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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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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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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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