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Über die totale Absolutkrümmung verknoteter Sphären

P. WINTGEN (1980)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Un analogue du théorème d'Efimov en courbure variable

Jean-Marc Schlenker (1994/1995)

Séminaire de théorie spectrale et géométrie

Un théorème d'unicité de l'hélicoïde

Eric Toubiana (1988)

Annales de l'institut Fourier

Nous montrons qu’une surface minimale complété, plongée dans $R^{3} / Z$ , de courbure totale finie et homéomorphe a $S^{2}$ moins deux points est l’hélicoïde.

Unduloids and their geometry

Mariana Hadzhilazova, Ivaïlo M. Mladenov, John Oprea (2007)

Archivum Mathematicum

In this paper we consider non-compact cylinder-like surfaces called unduloids and study some aspects of their geometry. In particular, making use of a Kenmotsu-type representation of these surfaces, we derive explicit formulas for the lengths and areas of arbitrary segments, along with a formula for the volumes enclosed by them.

Uniqueness of minimal surfaces in Euclidean and hyperbolic 3-space.

Xianqing Li-Jost (1994)

Mathematische Zeitschrift

Universal bounds for eigenvalues of Schrödinger operators on Riemannian manifolds.

Wang, Qiaoling, Xia, Changyu (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

Universal spaces for manifolds equipped with an integral closed $k$ -form

Hông-Vân Lê (2007)

Archivum Mathematicum

In this note we prove that any integral closed $k$ -form $φ^{k}$ , $k \geq 3$ , on a m-dimensional manifold $M^{m}$ , $m \geq k$ , is the restriction of a universal closed $k$ -form $h^{k}$ on a universal manifold $U^{d (m, k)}$ as a result of an embedding of $M^{m}$ to $U^{d (m, k)}$ .

Unstable minimal surfaces and Heegaard splittings.

Joel Hass, Charles Frohman (1989)

Inventiones mathematicae

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