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In [Wic08], the second author established a local C1,α partial regularity theory for stable branched minimal hypersurfaces of multiplicity < 3. The main regularity theorem of [Wic08] in particular im...
Extending Immersions into the Sphere      Immersions  Sphere        2011/2/25
We study the problem to extend an immersed circle f in the sphere S2 to an immersion of the disc. We analyze existence and uniqueness for this problems in terms of the combinatorial structure of a wor...
We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surfac...
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the ...
In this paper, we parametrize the space of isometric immersions of the hyperbolic plane into the hyperbolic 3-space in terms of null-causal curves in the space of oriented geodesics. Moreover, we char...
A New Obstruction to Minimal Isometric Immersions into a Real Space Form.
In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.
In [1] Carter and the author introduced the idea of an immersion f : Mm-+ Rn with totally reducible focal set (TRFS). Such an immersion has the property that, for all p E M, the focal set with base p ...

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