Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Complete minimal hypersurfaces in the hyperbolic space $\mathbb {H}^{4}$ with vanishing Gauss-Kronecker curvature
HTML articles powered by AMS MathViewer

by T. Hasanis, A. Savas-Halilaj and T. Vlachos PDF
Trans. Amer. Math. Soc. 359 (2007), 2799-2818 Request permission

Abstract:

We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb {H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, a nowhere vanishing second fundamental form and a scalar curvature bounded from below.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 53C40, 53C42, 53C50
  • Retrieve articles in all journals with MSC (2000): 53C40, 53C42, 53C50
Additional Information
  • T. Hasanis
  • Affiliation: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
  • MR Author ID: 82090
  • Email: thasanis@cc.uoi.gr
  • A. Savas-Halilaj
  • Affiliation: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
  • MR Author ID: 045365
  • Email: me00499@cc.uoi.gr
  • T. Vlachos
  • Affiliation: Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece
  • MR Author ID: 291296
  • Email: tvlachos@cc.uoi.gr
  • Received by editor(s): April 27, 2005
  • Published electronically: January 26, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 2799-2818
  • MSC (2000): Primary 53C40; Secondary 53C42, 53C50
  • DOI: https://doi.org/10.1090/S0002-9947-07-04231-6
  • MathSciNet review: 2286057