✦ LIBER ✦

The encoding of arbitrary surfaces in 3-dimensional space

✍ Scribed by Gerhard X. Ritter; Julius T. Tou

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 941 KB
Volume: 17
Category: Article
ISSN: 0031-3203
DOI: 10.1016/0031-3203(84)90013-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Motion of surfaces in 3-dimensional spac

Motion of surfaces in 3-dimensional space

✍ Kazuaki Nakayama; Miki Wadati 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 798 KB

## Kinematics of surfaces in 3-dimensional space is formulated in terms of the differential geometry. The formulation is intrinsic and the surface is described by its metric and curvature tensors. It is found that the introduction of nontrivial time evolution of coordinate system makes the theory

Integration of polynomials over an arbit

Integration of polynomials over an arbitrary tetrahedron in Euclidean three-dimensional space

✍ H.T. Rathod; H.S.Govinda Rao 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 683 KB

On the spinor representation of surfaces

On the spinor representation of surfaces in Euclidean 3-space

✍ Thomas Friedrich 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 817 KB

The aim of the present paper is to clarify the relationship between immersions of surfaces and solutions of the Dirac equation. The main idea leading to the description of a surface M2 by a spinor field is the observation that the restriction to M2 of any parallel spinor $ on Iw3 is a non-trivial sp

Compact spacelike surfaces in the 3-dime

Compact spacelike surfaces in the 3-dimensional de Sitter space with non-degenerate second fundamental form

✍ Juan A. Aledo; Alfonso Romero 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 127 KB

In this paper, we establish several sufficient conditions for a compact spacelike surface with non-degenerate second fundamental form in the 3-dimensional de Sitter space to be spherical. With this aim, we develop a formula for these surfaces which involves the mean and Gaussian curvatures of the fi

Simulation of free surfaces in 3-D with

Simulation of free surfaces in 3-D with the arbitrary Lagrange–Euler method

✍ Peter Szabo; Ole Hassager 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 746 KB

On a new formulation of the continuum He

On a new formulation of the continuum Heisenberg spin system in a space of arbitrary dimensionality

✍ Th.W. Ruijgrok; J. Jurkiewicz 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 610 KB

The classical equations of motion of a continuum Heisenberg spin system in N dimensions are written in the form of equations for a particle field and a gauge field. Known results, such as the exact solution for N = 1 and the self-dual solution for N = 2, are recovered. Of the new results we mention: