Results 11 to 20 of about 571 (47)
Minimal Immersions of Kahler manifolds into Euclidean Spaces [PDF]
, 2003 It is proved here that a minimal isometric immersion of a Kähler-Einstein or homogeneous Kähler-manifold into an Euclidean space must be totally ...
Di Scala, Antonio Jose'
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The geometric sense of R. Sasaki connection [PDF]
, 2002 For the Riemannian manifold $M^{n}$ two special connections on the sum of the tangent bundle $TM^{n}$ and the trivial one-dimensional bundle are constructed. These connections are flat if and only if the space $M^{n}$ has a constant sectional curvature $\
Alexey V Shchepetilov +9 more
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Sym-Bobenko formula for minimal surfaces in Heisenberg space [PDF]
, 2013 We give an immersion formula, the Sym-Bobenko formula, for minimal surfaces in the 3-dimensional Heisenberg space. Such a formula can be used to give a generalized Weierstrass type representation and construct explicit examples of minimal surfaces ...
Cartier, Sébastien
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The rigidity of embedded constant mean curvature surfaces [PDF]
, 2007 We study the rigidity of complete, embedded constant mean curvature surfaces in R^3. Among other things, we prove that when such a surface has finite genus, then intrinsic isometries of the surface extend to isometries of R^3 or its isometry group ...
Meeks III, William H. +1 more
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Ramification estimates for the hyperbolic Gauss map [PDF]
, 2008 We give the best possible upper bound on the number of exceptional values and the totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic constant mean curvature one surfaces in the hyperbolic three-space and some partial results ...
Kawakami, Yu
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Parallel Mean Curvature Surfaces in Symmetric Spaces
, 2011 We present a reduction of codimension theorem for surfaces with parallel mean curvature in symmetric ...
H. Alencar +4 more
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Chen's conjecture and epsilon-superbiharmonic submanifolds of Riemannian manifolds
, 2013 B.-Y. Chen famously conjectured that every submanifold of Euclidean space with harmonic mean curvature vector is minimal. In this note we establish a much more general statement for a large class of submanifolds satisfying a growth condition at infinity.
Wheeler, Glen
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A geometric proof of the Karpelevich-Mostow's theorem
, 2007 In this paper we give a geometric proof of the Karpelevich's theorem that asserts that a semisimple Lie subgroup of isometries, of a symmetric space of non compact type, has a totally geodesic orbit.
Di Scala, Antonio J., Olmos, Carlos
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Corrigendum for "A geometric proof of the Karpelevich-Mostow theorem" [PDF]
, 2016 Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler proof of ...
Di Scala, Antonio J., Olmos, Carlos
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Applications of a completeness lemma in minimal surface theory to various classes of surfaces
, 2010 We give several applications of a lemma on completeness used by Osserman to show the meromorphicity of Weierstrass data for complete minimal surfaces with finite total curvature.
Umehara, Masaaki, Yamada, Kotaro
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