Minimal Submanifolds and Related Topics (2nd Edition)
Authors : Yuanlong Xin (Fudan University, China)
Publisher : World Scientific
ISBN : 978-981-3236-05-9
Review of the First Edition:
"This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists."
-- Zentralblatt MATH
"This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists."
-- Zentralblatt MATH
In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas–Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.
This new edition contains the author's recent work on the Lawson–Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson–Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.
This new edition contains the author's recent work on the Lawson–Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson–Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.
Details for this author is currently not available
Review of the First Edition:
"This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists."
-- Zentralblatt MATH
"This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists."
-- Zentralblatt MATH
Buy this book, https://www.worldscientific.com/worldscibooks/10.1142/10880#t, 13575, false
FAQs
Click on the "Buy this book" button
You can email us at book-review@enago.com and we will get back to you with the next steps shortly.
New Releases
-
Advances in the Molecular Understanding of Colorectal Cancer
-
Basic Research and Industrial Innovation in China
-
Constable & Lim Colour Atlas Of Ophthalmology: Sixth Edition
-
Essentials of Ophthalmology: For Medical School and Beyond
-
Fixed Revenue Accounting: A New Management Accounting Framework
All featured publishers and authors can avail of a free promotional interview on Enago Academy! Write to us now!