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The associated map of the nonabelian Gauss-Manin connection
Open Mathematics, 2012 Chen Ting
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Map 282 from Ferguson Collection.; Map shows streets, railways, buildings, parks and reserves, and names wards.; Also available in an electronic version via the Internet at: http://nla.gov.au/nla.map-f282; Library copy folded to 16.8 x 11.5 ...
Mason, Cyrus, 1830-1915.
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The Euclidean Algorithm and the Degree of the Gauss Map
SIAM Journal on Computing, 1990This paper examines the computation of the topological degree of the Gauss map, defined by polynomials in the plane, via the Euclidean algorithm.
Takis Sakkalis
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Spherical hypersurfaces associated with the spherical Gauss map and Gauss map
Publicationes Mathematicae Debrecen, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jung, Sun Mi +2 more
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Exponentially Harmonic Maps, Gauss Maps and Gauss Sections
Mediterranean Journal of Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1979
An oriented n-surface in ℝ n +l is more than just an n-surface S, it is an n-surface S together with a smooth unit normal vector field N on S. The function N:S → ℝ n +1 associated with the vector field N by N(p) = (p, N(p)), p ∈ S, actually maps S into the unit n-sphere S n ⊂ ℝ n +1 since ∥N(p)∥ = 1 for all p ∈ S.
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An oriented n-surface in ℝ n +l is more than just an n-surface S, it is an n-surface S together with a smooth unit normal vector field N on S. The function N:S → ℝ n +1 associated with the vector field N by N(p) = (p, N(p)), p ∈ S, actually maps S into the unit n-sphere S n ⊂ ℝ n +1 since ∥N(p)∥ = 1 for all p ∈ S.
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The Harmonicity of the Spherical Gauss Map
Bulletin of the London Mathematical Society, 1986Given an isometric immersion \(f: M^ m\to {\mathbb{R}}^ n\), its generalized Gauss map g in the sense of Chern and Osserman is the map \(g: M\to G_ m({\mathbb{R}}^ n)\), assigning to each point p in M the tangent space at p of M viewed as an m-dimensional plane in \({\mathbb{R}}^ n\). An easy yet vitally important theorem of \textit{E. A.
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