A Bishop surface with a vanishing Bishop invariant
نویسندگان
چکیده
منابع مشابه
A Bishop surface with a vanishing Bishop invariant
We derive a complete set of invariants for a formal Bishop surface near a point of complex tangent with a vanishing Bishop invariant under the action of formal transformations. We prove that the modular space of Bishop surfaces with a vanishing Bishop invariant and with a fixed Moser invariant s < ∞ is of infinite dimension. We also prove that the equivalence class of the germ of a generic real...
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A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t) and it is parametrized through Frenet frame of the spine curve C(t). If the radius function r(t) = r is a constant, then the canal surface is called a tube or tubular surface. In this work, we investigate tubular surface with Bishop frame ...
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We define the differential operator ∂ ∂z on infinitely differentiable functions (also called smooth or C∞ functions) on some open set in C by ∂ ∂z = 1 2 ( ∂ ∂x + i ∂ ∂y ). A quick calculation shows that ∂ ∂z obeys the product rule. Recall that a function f is holomorphic if and only if ∂ ∂z (f) = 0. A function is biholomorphic, or an analytic isomorphism, if it is holomorphic and has holomorphi...
متن کاملIn memoriam: Beverly Petterson Bishop (1922-2008).
PTJ does not usually publish tributes, as there are so many physical therapists who have given so much to their profession and to rehabilitation science. We make an exception in this case because of the direct impact that Dr Beverly Bishop has had on PTJ's Editorial Board over the years. B orn in Corning, NY, Bishop earned a bachelor of science degree in mathematics from Syracuse University in ...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2008
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-008-0167-1