Finn, R.; Vogel, T. I. On the volume infimum for liquid bridges. (English) Zbl 0760.76015 Z. Anal. Anwend. 11, No. 1, 3-23 (1992). Summary: We consider the “Carter conjecture”, that any stable liquid bridge in zero gravity, joining two parallel plates separated by a distance \(h\) and meeting each plate with constant angle, has volume greater than or equal to \(h^ 3/\pi\). We prove the conjecture in the case of the two contact angles being equal. Cited in 1 ReviewCited in 6 Documents MSC: 76B45 Capillarity (surface tension) for incompressible inviscid fluids 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 49Q10 Optimization of shapes other than minimal surfaces Keywords:mean curvature; constant contact angle; stability; zero gravity; parallel plates PDFBibTeX XMLCite \textit{R. Finn} and \textit{T. I. Vogel}, Z. Anal. Anwend. 11, No. 1, 3--23 (1992; Zbl 0760.76015) Full Text: DOI