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Title of Journal: J Geom

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Abbravation: Journal of Geometry

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Springer International Publishing

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DOI

10.1007/s15027-012-0315-9

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1420-8997

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Deformation of minimal surfaces with planar curvat

Authors: Joseph Cho Yuta Ogata
Publish Date: 2016/09/23
Volume: 108, Issue: 2, Pages: 463-479
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Abstract

Minimal surfaces with planar curvature lines are classical geometric objects having been studied since the late nineteenth century In this paper we revisit the subject from a different point of view After calculating their metric functions using an analytical method we recover the Weierstrass data and give clean parametrizations for these surfaces Then we show that there exists a single continuous deformation between all minimal surfaces with planar curvature lines In the process we establish the existence of axial directions for these surfaces

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  2. Propellers in Affine Cayley–Klein Planes
  3. On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds
  4. Rakić duality principle in the almost Hermitian geometry
  5. On compact semisimple Lie groups as 2-plectic manifolds
  6. An axiomatic look at the Erdős-Trost problem
  7. An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion
  8. Linearly small elation quadrangles
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