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Title of Journal: Isr J Math

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Abbravation: Israel Journal of Mathematics

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Springer US

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DOI

10.1002/cc.36819875902

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1565-8511

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Extrinsic isoperimetry and compactification of min

Authors: Vicent Gimeno Vicente Palmer
Publish Date: 2012/07/13
Volume: 194, Issue: 2, Pages: 539-553
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Abstract

We study the topology of properly immersed complete minimal surfaces P 2 in Hyperbolic and Euclidean spaces which have finite total extrinsic curvature using some isoperimetric inequalities satisfied by the extrinsic balls in these surfaces see 10 We present an alternative and unified proof of the ChernOsserman inequality satisfied by these minimal surfaces in ℝ n and in ℕ n b based in the isoperimetric analysis mentioned above Finally we show a ChernOssermantype equality attained by complete minimal surfaces in the Hyperbolic space with finite total extrinsic curvature

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  1. Characterizing stable complete Erdős space
  2. On prime ideals of noetherian skew power series rings
  3. Classification of quasifinite $$\mathcal{W}_\infty $$ -modules-modules
  4. Classification of quasifinite $$\mathcal{W}_\infty $$ -modules-modules
  5. De Rham theorem for Schwartz functions on Nash manifolds
  6. Random matrices and subexponential operator spaces
  7. An integral representation for topological pressure in terms of conditional probabilities
  8. Ribet bimodules and the specialization of Heegner points
  9. Maximally stable Gaussian partitions with discrete applications
  10. Homogeneity and local symmetry of complex ( κ , µ)-spaces
  11. Binary forms as sums of two squares and Châtelet surfaces
  12. On two Hamilton cycle problems in random graphs
  13. Derivatives for smooth representations of GL ( n , ℝ) and GL ( n , ℂ)
  14. Weak mixing and unique ergodicity on homogeneous spaces
  15. Invariant random subgroups of lamplighter groups
  16. Webb’s conjecture for fusion systems
  17. Partitions of nonzero elements of a finite field into pairs
  18. On typical properties of Hilbert space operators
  19. The unramified computation of Rankin-Selberg integrals for SO 2 l × GL n
  20. On a question of Sárközy on gaps of product sequences
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