On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero
Michele Emmer (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Michele Emmer (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Kok Seng Chua (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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F. Benatti (1993)
Annales de l'I.H.P. Physique théorique
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K. N. Kamalamma (1956-1958)
Compositio Mathematica
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Nedir Do Espirito Santo (1994)
Annales de l'institut Fourier
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We show that there exists a complete minimal surface immersed into which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is .
Adrian Butscher, Frank Pacard (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Clifford tori in constitute a one-parameter family of flat, two-dimensional, constant mean curvature (CMC) submanifolds. This paper demonstrates that new, topologically non-trivial CMC surfaces resembling a pair of neighbouring Clifford tori connected at a sub-lattice consisting of at least two points by small catenoidal bridges can be constructed by perturbative PDE methods. That is, one can create a submanifold that has almost everywhere constant mean curvature by gluing a re-scaled...