On Knotted Spheres in Euclidean 44-space E4 \mathbb{E}^{4}

preprint2016arXivOpen access

Abstract

In the present study we consider knotted spheres in Euclidean 44-space E4 \mathbb{E}^{4}. Firstly, we give some basic curvature properties of knotted spheres in E4 \mathbb{E}^{4}. Further, we obtained some results related with the conjugate nets and Laplace transforms of these kind of surfaces.

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