東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Minimal surfaces from a complex anal...

Alarcon, Antonio.

FindBook

Google Book

Amazon

博客來

Minimal surfaces from a complex analytic viewpoint

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Minimal surfaces from a complex analytic viewpoint/ by Antonio Alarcon, Franc Forstneric, Francisco J. Lopez.
作者:	Alarcon, Antonio.
其他作者:	Forstneric, Franc.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xiii, 430 p. :ill., digital ;24 cm.
內容註:	1 Fundamentals -- 2 Basics on Minimal Surfaces -- 3 Approximation and Interpolations Theorems for Minimal Surfaces -- 4 Complete Minimal Surfaces of Finite Total Curvature -- 5 The Gauss Map of a Minimal Surface -- 6 The Riemann-Hilbert Problem for Minimal Surfaces -- 7 The Calabi-Yau Problem for Minimal Surfaces -- 8 Minimal Surfaces in Minimally Convex Domains -- 9 Minimal Hulls, Null Hulls, and Currents -- References -- Index.
Contained By:	Springer Nature eBook
標題:	Minimal surfaces. -
電子資源:	https://doi.org/10.1007/978-3-030-69056-4
ISBN:	9783030690564

Minimal surfaces from a complex analytic viewpoint
Alarcon, Antonio.

Minimal surfaces from a complex analytic viewpoint[electronic resource] /by Antonio Alarcon, Franc Forstneric, Francisco J. Lopez. - Cham :Springer International Publishing :2021. - xiii, 430 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

1 Fundamentals -- 2 Basics on Minimal Surfaces -- 3 Approximation and Interpolations Theorems for Minimal Surfaces -- 4 Complete Minimal Surfaces of Finite Total Curvature -- 5 The Gauss Map of a Minimal Surface -- 6 The Riemann-Hilbert Problem for Minimal Surfaces -- 7 The Calabi-Yau Problem for Minimal Surfaces -- 8 Minimal Surfaces in Minimally Convex Domains -- 9 Minimal Hulls, Null Hulls, and Currents -- References -- Index.

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis) It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann-Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi-Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.

ISBN: 9783030690564

Standard No.: 10.1007/978-3-030-69056-4doiSubjects--Topical Terms:

540605
Minimal surfaces.

LC Class. No.: QA644 / .A437 2021

Dewey Class. No.: 516.362

Minimal surfaces from a complex analytic viewpoint
LDR:02966nmm a2200337 a 4500 001 2239285
003 DE-He213
005 20210715105441.0
006 m d
007 cr nn 008maaau
008 211111s2021 sz s 0 eng d
020 $a 9783030690564 $q (electronic bk.)
020 $a 9783030690557 $q (paper)
024 7 $a 10.1007/978-3-030-69056-4 $2 doi
035 $a 978-3-030-69056-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA644 $b .A437 2021
072 7 $a PBKS $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 516.362 $2 23
090 $a QA644 $b .A321 2021
100 1 $a Alarcon, Antonio. $3 3493183
245 1 0 $a Minimal surfaces from a complex analytic viewpoint $h [electronic resource] / $c by Antonio Alarcon, Franc Forstneric, Francisco J. Lopez.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiii, 430 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a 1 Fundamentals -- 2 Basics on Minimal Surfaces -- 3 Approximation and Interpolations Theorems for Minimal Surfaces -- 4 Complete Minimal Surfaces of Finite Total Curvature -- 5 The Gauss Map of a Minimal Surface -- 6 The Riemann-Hilbert Problem for Minimal Surfaces -- 7 The Calabi-Yau Problem for Minimal Surfaces -- 8 Minimal Surfaces in Minimally Convex Domains -- 9 Minimal Hulls, Null Hulls, and Currents -- References -- Index.
520 $a This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis) It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann-Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi-Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.
650 0 $a Minimal surfaces. $3 540605
650 1 4 $a Global Analysis and Analysis on Manifolds. $3 891107
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
700 1 $a Forstneric, Franc. $3 3259155
700 1 $a Lopez, Francisco J. $3 3493184
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Springer monographs in mathematics. $3 1535313
856 4 0 $u https://doi.org/10.1007/978-3-030-69056-4
950 $a Mathematics and Statistics (SpringerNature-11649)