DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Shonkwiler, Clayton; Vela-Vick, David Shea Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. (English) Zbl 1328.57007 J. Math. Phys. 54, No. 1, 013515, 48 p. (2013). MSC: 57M25 78A25 76W05 PDFBibTeX XMLCite \textit{D. DeTurck} et al., J. Math. Phys. 54, No. 1, 013515, 48 p. (2013; Zbl 1328.57007) Full Text: DOI arXiv Link
DeTurck, Dennis; Gluck, Herman Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space. (English) Zbl 1153.81348 J. Math. Phys. 49, No. 2, 023504, 35 p. (2008). MSC: 53C80 78A35 57M25 53A99 PDFBibTeX XMLCite \textit{D. DeTurck} and \textit{H. Gluck}, J. Math. Phys. 49, No. 2, 023504, 35 p. (2008; Zbl 1153.81348) Full Text: DOI arXiv
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. (English) Zbl 1006.78003 J. Math. Phys. 42, No. 2, 876-905 (2001). MSC: 78A25 57M25 76W05 PDFBibTeX XMLCite \textit{J. Cantarella} et al., J. Math. Phys. 42, No. 2, 876--905 (2001; Zbl 1006.78003) Full Text: DOI
Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. (English) Zbl 1054.78500 J. Math. Phys. 41, No. 8, 5615-5641 (2000). MSC: 78A25 PDFBibTeX XMLCite \textit{J. Cantarella} et al., J. Math. Phys. 41, No. 8, 5615--5641 (2000; Zbl 1054.78500) Full Text: DOI