000			02966nam a22004693i 4500
001			EBC3113433
003			MiAaPQ
005			20240729124543.0
006			m o d |
007			cr cnu||||||||
008			240724s1977 xx o ||||0 eng d
020			_a9781470401559 _q(electronic bk.)
020			_z9780821821947
035			_a(MiAaPQ)EBC3113433
035			_a(Au-PeEL)EBL3113433
035			_a(CaPaEBR)ebr10882092
035			_a(OCoLC)884584127
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA614.7 -- .T76 1977eb
082	0		_a510/.8 s;516/.362
100	1		_aTromba, Anthony J.
245	1	0	_aOn the Number of Simply Connected Minimal Surfaces Spanning a Curve.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1977.
264		4	_c©1977.
300			_a1 online resource (131 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.12
505	0		_aIntro -- Table of Contents -- 0. Introduction -- I. A review of the Euler characteristic of a Palais-Smale vector field -- II. Analytical preliminaries - the Sobelev spaces -- III. The global formulation of the problem of Plateau -- IV. The existence of a vector field associated to the Dirichlet functional E[sub(α)] -- V. A proof that the vector field X[sup(α)], associated to E[sub(α)], is Palais-Smale -- VI. The weak Riemannian structure on η[sub(α)] -- VII. The equivariance of X[sup(α)] under the action of the conformal group -- VIII.The regularity results for minimal surfaces -- IX. The Fréchet derivative of the minimal surface vector field X and the surface fibre bundle -- X. The minimal surface vector field X is proper on bounded sets -- XI. Non-degenerate critical submanifolds of η[sub(α)] and a uniqueness theorem for minimal surfaces -- XII. The spray of the weak metric -- XIII. The transversality theorem -- XIV. The Morse number of minimal surfaces spanning a simple closed curve and its invarience under isotopy -- XV. References.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aMinimal surfaces.
650		0	_aCritical point theory (Mathematical analysis).
650		0	_aBoundary value problems.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aTromba, Anthony J. _tOn the Number of Simply Connected Minimal Surfaces Spanning a Curve _dProvidence : American Mathematical Society,c1977 _z9780821821947
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113433 _zClick to View
999			_c68967 _d68967