£67.32

New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in $mathbb {R}^n$ (Memoirs of the American Mathematical Society)

Mathematical Analysis

Price data last checked 61 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 30 days • 30 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 30 days • 1 price levels

Days at Price

Price Analysis

Most common price: £67 (30 days, 100.0%)

Price range: £67 - £67

Price levels: 1 different prices over 30 days

Description

The aim of this work is to adapt the complex analytic methods originating in modern Oka theory to the study of non-orientable conformal minimal surfaces in $\mathbb{R}^n$ for any $n\ge 3$. These methods, which the authors develop essentially from the first principles, enable them to prove that the space of conformal minimal immersions of a given bordered non-orientable surface to $\mathbb{R}^n$ is a real analytic Banach manifold, obtain approximation results of Runge-Mergelyan type for conformal minimal immersions from non-orientable surfaces, and show general position theorems for non-orientable conformal minimal surfaces in $\mathbb{R}^n$. The authors also give the first known example of a properly embedded non-orientable minimal surface in $\mathbb{R}^4$; a Mobius strip. All the new tools mentioned above apply to non-orientable minimal surfaces endowed with a fixed choice of a conformal structure. This enables the authors to obtain significant new applications to the global theory of non-orientable minimal surfaces. In particular, they construct proper non-orientable conformal minimal surfaces in $\mathbb{R}^n$ with any given conformal structure, complete non-orientable minimal surfaces in $\mathbb{R}^n$ with arbitrary conformal type whose generalized Gauss map is nondegenerate and omits $n$ hyperplanes of $\mathbb{CP}^{n-1}$ in general position, complete non-orientable minimal surfaces bounded by Jordan curves, and complete proper non-orientable minimal surfaces normalized by bordered surfaces in $p$-convex domains of $\mathbb{R}^n$.

Product Specifications

Format: paperback
ASIN: 1470441616
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 March 2020
Listed Since: 28 February 2020

Barcode

No barcode data available

New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in $mathbb {R}^n$ (Memoirs of the American Mathematical Society)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Minimal Surfaces from a Complex Analytic Viewpoint (Springer Monographs in Mathematics)

Flat Rank Two Vector Bundles on Genus Two Curves (Memoirs of the American Mathematical Society)

Nonlinear Analysis and Optimization I (Contemporary Mathematics)

Functional Inequalities: New Perspectives and New Applications (Mathematical Surveys and Monographs)

Homology of Normal Chains and Cohomology of Charges (Memoirs of the American Mathematical Society)

Positive Definite Functions on Infinite-Dimensional Convex Cones (Memoirs of the American Mathematical Society)

Szego Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds (Memoirs of the American Mathematical Society)

The Beilinson Complex and Canonical Rings of Irregular Surfaces (Memoirs of the American Mathematical Society)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

Isoperimetric Inequalities in Unbounded Convex Bodies (Memoirs of the American Mathematical Society)

Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi (Memoirs of the American Mathematical Society)

Minimal Surfaces: 339 (Grundlehren der mathematischen Wissenschaften, 339)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

A Study of Singularities on Rational Curves Via Syzygies (Memoirs of the American Mathematical Society)

Commutative Normed Rings (American Mathematics Society non-series title) (Chelsea Publications)

Higher-Order Time Asymptotics of Fast Diffusion in Euclidean Space: A Dynamical Systems Approach (Memoirs of the American Mathematical Society)

Function Theory in Several Complex Variables - AMS Book

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem (Translations of Mathematical Monographs)

Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

Borel Liftings of Borel Sets - Some Decidable and Undecidable Statements (Memoirs of the American Mathematical Society)

Geometric Pressure for Multimodal Maps of the Interval (Memoirs of the American Mathematical Society)