On Knotted Spheres in Euclidean $4$-space $ \mathbb{E}^{4}$

Kadri Arslan

On Knotted Spheres in Euclidean $4$-space $ \mathbb{E}^{4}$

Differential Geometry 2016-08-18 v1

Authors: Kadri Arslan

Abstract

In the present study we consider knotted spheres in Euclidean $4$ -space $\mathbb{E}^{4}$ . Firstly, we give some basic curvature properties of knotted spheres in $\mathbb{E}^{4}$ . Further, we obtained some results related with the conjugate nets and Laplace transforms of these kind of surfaces.

Keywords

differential geometry of surfaces and curves in euclidean space surfaces with constant mean curvature surfaces and embeddings

Cite

@article{arxiv.1608.04877,
  title  = {On Knotted Spheres in Euclidean $4$-space $ \mathbb{E}^{4}$},
  author = {Kadri Arslan},
  journal= {arXiv preprint arXiv:1608.04877},
  year   = {2016}
}

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