KNOTTED STRUCTURES IN HIGH-ENERGY BELTRAMI FIELDS ON THE TORUS AND THE SPHERE

Enciso Alberto; Peralta-Salas Daniel; Torres de Lizaur Francisco

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KNOTTED STRUCTURES IN HIGH-ENERGY BELTRAMI FIELDS ON THE TORUS AND THE SPHERE

机译：在圆环上的高能量Beltrami田野的打结结构和球体

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摘要

Let S be a finite union of (pairwise disjoint but possibly knotted and linked) closed curves and tubes in the round sphere S-3 or in the flat torus T-3. In the case of the torus, S is further assumed to be contained in a contractible subset of T-3. In this paper we show that for any sufficiently large odd integer lambda there exists a Beltrami field on S-3 or T-3 satisfying curl u = lambda u and with a collection of vortex lines and vortex tubes given by S, up to an ambient diffeomorphism.

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《Annales scientifiques de l'Ecole normale superieure》 |2017年第4期|共22页
作者
Enciso Alberto; Peralta-Salas Daniel; Torres de Lizaur Francisco;
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作者单位

CSIC Inst Ciencia Mat E-28049 Madrid Spain;

CSIC Inst Ciencia Mat E-28049 Madrid Spain;

CSIC Inst Ciencia Mat E-28049 Madrid Spain;

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正文语种 eng
中图分类自然科学总论;师范教育理论;
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KNOTTED STRUCTURES IN HIGH-ENERGY BELTRAMI FIELDS ON THE TORUS AND THE SPHERE

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