This book presents some of the basic topological ideas used in studying differentiable
manifolds and maps. Mathematical prerequisites have been kept to a minimum; the standard …

The infimum of the conformally invariant functional W=/H2 is estimated for each regular
homotopy class of immersed surfaces in R3. Consequently, we obtain rather sharp bounds …

IN this paper we are concerned with the problem of classifying compact surfaces immersed
in Iw” up to regular homotopyt. This subject started in 1958 when Smale classified the …

Shape from Metric Page 1 Shape from Metric ALBERT CHERN, TU Berlin FELIX KNÖPPEL,
TU Berlin ULRICH PINKALL, TU Berlin PETER SCHRÖDER, Caltech We study the isometric …

Many problems in pure and applied mathematics boil down to determining the shape of a
surface in space or constructing surfaces with prescribed geometric properties. These …

Let $ G $ be a group and $ g $ a non-trivial element in $ G $. If some non-empty finite
product of conjugates of $ g $ equals to the identity, then $ g $ is called a generalized …

We consider the global behavior of complete surfaces in three-space which are extrema for
some natural geometric variational problems: surfaces with constant mean curvature H …

2.2. Teichmiiller theory 2.3. A brief outline of the proof 3. The geometry of orthodisks 3.1.
Orthodisks 3.2. From orthodisks to Riemann surfaces 3.3. From orthodisks to Weierstrass …

A topological quadrilateral mesh Q of a connected surface in R3 can be extended to a
topological hexahedral mesh of the interior domain Ω if and only if Q has an even number of …

THE initial motivation of this paper comes from a result of Segre [121 about the real lines on
a real cubic surface. As it is well known a smooth complex cubic surface has exactly 27 …