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Minimal Surfaces
 
Edited by: A. T. Fomenko
Minimal Surfaces
Hardcover ISBN:  978-0-8218-4116-7
Product Code:  ADVSOV/15
List Price: $185.00
MAA Member Price: $166.50
AMS Member Price: $148.00
eBook ISBN:  978-1-4704-4612-3
Product Code:  ADVSOV/15.E
List Price: $185.00
MAA Member Price: $166.50
AMS Member Price: $148.00
Hardcover ISBN:  978-0-8218-4116-7
eBook: ISBN:  978-1-4704-4612-3
Product Code:  ADVSOV/15.B
List Price: $370.00 $277.50
MAA Member Price: $333.00 $249.75
AMS Member Price: $296.00 $222.00
Minimal Surfaces
Click above image for expanded view
Minimal Surfaces
Edited by: A. T. Fomenko
Hardcover ISBN:  978-0-8218-4116-7
Product Code:  ADVSOV/15
List Price: $185.00
MAA Member Price: $166.50
AMS Member Price: $148.00
eBook ISBN:  978-1-4704-4612-3
Product Code:  ADVSOV/15.E
List Price: $185.00
MAA Member Price: $166.50
AMS Member Price: $148.00
Hardcover ISBN:  978-0-8218-4116-7
eBook ISBN:  978-1-4704-4612-3
Product Code:  ADVSOV/15.B
List Price: $370.00 $277.50
MAA Member Price: $333.00 $249.75
AMS Member Price: $296.00 $222.00
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 151993; 342 pp
    MSC: Primary 05; 53; 58; Secondary 81;

    This book contains recent results from a group focusing on minimal surfaces in the Moscow State University seminar on modern geometrical methods, headed by A. V. Bolsinov, A. T. Fomenko, and V. V. Trofimov. The papers collected here fall into three areas: one-dimensional minimal graphs on Riemannian surfaces and the Steiner problem, two-dimensional minimal surfaces and surfaces of constant mean curvature in three-dimensional Euclidean space, and multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. The volume opens with an exposition of several important problems in the modern theory of minimal surfaces that will be of interest to newcomers to the field. Prepared with attention to clarity and accessibility, these papers will appeal to mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems.

    Readership

    Mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems.

  • Table of Contents
     
     
    • Articles
    • A. T. Fomenko — Minimization of length, area, and volume. Some solved and some unsolved problems in the theory of minimal graphs and surfaces
    • A. O. Ivanov and A. A. Tuzhilin — The Steiner problem for convex boundaries, I: the general case
    • A. O. Ivanov and A. A. Tuzhilin — The Steiner problem for convex boundaries, II: the regular case
    • Le Hong Van — Effective calibrations in the theory of minimal surfaces
    • I. S. Novikova — Minimal cones invariant under adjoint actions of compact Lie groups
    • A. A. Tuzhilin — Global properties of minimal surfaces in $R^3$ and $H^3$ and their Morse type indices
    • A. O. Ivanov — Calibration forms and new examples of globally minimal surfaces
    • A. Borisenko — Ruled special Lagrangian surfaces
    • A. Yu. Borisovich — Functional-topological properties of the Plateau operator and applications to the study of bifurcations in problems of geometry and hydrodynamics
    • A. V. Tyrin — Harmonic maps into Lie groups and the multivalued Novikov functional
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 151993; 342 pp
MSC: Primary 05; 53; 58; Secondary 81;

This book contains recent results from a group focusing on minimal surfaces in the Moscow State University seminar on modern geometrical methods, headed by A. V. Bolsinov, A. T. Fomenko, and V. V. Trofimov. The papers collected here fall into three areas: one-dimensional minimal graphs on Riemannian surfaces and the Steiner problem, two-dimensional minimal surfaces and surfaces of constant mean curvature in three-dimensional Euclidean space, and multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. The volume opens with an exposition of several important problems in the modern theory of minimal surfaces that will be of interest to newcomers to the field. Prepared with attention to clarity and accessibility, these papers will appeal to mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems.

Readership

Mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems.

  • Articles
  • A. T. Fomenko — Minimization of length, area, and volume. Some solved and some unsolved problems in the theory of minimal graphs and surfaces
  • A. O. Ivanov and A. A. Tuzhilin — The Steiner problem for convex boundaries, I: the general case
  • A. O. Ivanov and A. A. Tuzhilin — The Steiner problem for convex boundaries, II: the regular case
  • Le Hong Van — Effective calibrations in the theory of minimal surfaces
  • I. S. Novikova — Minimal cones invariant under adjoint actions of compact Lie groups
  • A. A. Tuzhilin — Global properties of minimal surfaces in $R^3$ and $H^3$ and their Morse type indices
  • A. O. Ivanov — Calibration forms and new examples of globally minimal surfaces
  • A. Borisenko — Ruled special Lagrangian surfaces
  • A. Yu. Borisovich — Functional-topological properties of the Plateau operator and applications to the study of bifurcations in problems of geometry and hydrodynamics
  • A. V. Tyrin — Harmonic maps into Lie groups and the multivalued Novikov functional
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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