منابع مشابه
Generalized Eikonal Knots and New Integrable Dynamical Systems
A new class of non-linear O(3) models is introduced. It is shown that these systems lead to integrable submodels if an additional integrability condition (so called the generalized eikonal equation) is imposed. In the case of particular members of the family of the models the exact solutions describing toroidal solitons with a non-trivial value of the Hopf index are obtained. Moreover, the gene...
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We consider multidimensional cosmologies in even-dimensional space-times (D = 2n) containg perfect uid and a multidimensional generalization of the Maxwell eld FA 1 An preserving its conformal invariance. Among models with an isotropic physical 3-space some integrable cases are found: vacuum models (which are integrable in the general case) and some perfect uid models with barotropic equations ...
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This answers a question apparently first raised by Tietze [T, p. 83]. It was previously known that there were at most two knots with a given complement [CGLS, Corollary 3]. The notion of equivalence of knots can be strengthened by saying that K and K' are isotopic if the above homeomorphism h is isotopic to the identity, or, equivalently, orientation-preserving. The analog of Theorem I holds in...
متن کاملKnots Are Determined by Their Complements
The notion of equivalence of knots can be strengthened by saying that K and K' are isotopic if the above homeomorphism h is isotopic to the identity, or equivalently, orientation-preserving. The analog of Theorem 1 holds in this setting too: if two knots have complements which are homeomorphic by an orientation-preserving homeomorphism, then they are isotopic. Theorem 1 and its orientation-pres...
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We investigate which simple even-dimensional knots with finite knot modules may arise as twist-spun simple knots; and give some examples of knots which cannot so arise for reasons which are essentially number-theoretic.
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ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 2020
ISSN: 1434-6044,1434-6052
DOI: 10.1140/epjc/s10052-020-08745-7