In this paper, we introduce the L-hypersurface method for use in linear inverse problems. The new method is intended to select multiple regularization parameters simultaneously. It is a multidimensional extension of classical L-curve method and hence does not require any speciic knowledge about the noise level or signal semi-norm. We give examples of the L-hypersurface method applied to the lin...

Let f be a real-valued function on a Riemannian submanifold of a Euclidean space, and let f̄ be a local extension of f . We show that the Riemannian Hessian of f can be conveniently obtained from the Euclidean gradient and Hessian of f̄ by means of two manifoldspecific objects: the orthogonal projector onto the tangent space and the Weingarten map. Expressions for the Weingarten map are provided ...

Discrete Weierstrass-type representations yield a construction method in discrete differential geometry for certain classes of surfaces. We show that the known surface can be viewed as applications $$\varOmega $$ -dual transform to lightlike Gauss maps Laguerre geometry. From this construction, further arise. As an application techniques we develop, all linear Weingarten surfaces Bryant or Bian...

Abstract: We study the structure of hypersurface orbital varieties of sl (N, C) (those that are hypersurfaces in the nilradical of some parabolic subalgebra) and how information about this structure is encoded in the standard Young tableau associated to it by the Robinson-Schensted algorithm. We present a conjecture for the exact form of the unique non-linear defining equations of hypersurface ...