000			04553nam a22004935i 4500
001			978-1-4419-0434-8
003			DE-He213
005			20140220084502.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9781441904348 _9978-1-4419-0434-8
024	7		_a10.1007/978-1-4419-0434-8 _2doi
050		4	_aQA641-670
072		7	_aPBMP _2bicssc
072		7	_aMAT012030 _2bisacsh
082	0	4	_a516.36 _223
100	1		_aDjoric, Mirjana. _eauthor.
245	1	0	_aCR Submanifolds of Complex Projective Space _h[electronic resource] / _cby Mirjana Djoric, Masafumi Okumura.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aVIII, 176p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aDevelopments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, _x1389-2177 ; _v19
505	0		_aComplex manifolds -- Almost complex structure -- Complex vector spaces, complexification -- Kähler manifolds -- Structure equations of a submanifold -- Submanifolds of a Euclidean space -- Submanifolds of a complex manifold -- The Levi form -- The principal circle bundle S(P(C), S) -- Submersion and immersion -- Hypersurfaces of a Riemannian manifold of constant curvature -- Hypersurfaces of a sphere -- Hypersurfaces of a sphere with parallel shape operator -- Codimension reduction of a submanifold -- CR submanifolds of maximal CR dimension -- Real hypersurfaces of a complex projective space -- Tubes over submanifolds -- Levi form of CR submanifolds of maximal CR dimension of a complex space form -- Eigenvalues of the shape operator of CR submanifolds of maximal CR dimension of a complex space form -- CR submanifolds of maximal CR dimension satisfying the condition (, ) + (, ) = 0 -- Contact CR submanifolds of maximal CR dimension -- Invariant submanifolds of real hypersurfaces of complex space forms -- The scalar curvature of CR submanifolds of maximal CR dimension.
520			_aThis book covers the necessary topics for learning the basic properties of complex manifolds and their submanifolds, offering an easy, friendly, and accessible introduction into the subject while aptly guiding the reader to topics of current research and to more advanced publications. The book begins with an introduction to the geometry of complex manifolds and their submanifolds and describes the properties of hypersurfaces and CR submanifolds, with particular emphasis on CR submanifolds of maximal CR dimension. The second part contains results which are not new, but recently published in some mathematical journals. The final part contains several original results by the authors, with complete proofs. Key features of "CR Submanifolds of Complex Projective Space": - Presents recent developments and results in the study of submanifolds previously published only in research papers. - Special topics explored include: the Kähler manifold, submersion and immersion, codimension reduction of a submanifold, tubes over submanifolds, geometry of hypersurfaces and CR submanifolds of maximal CR dimension. - Provides relevant techniques, results and their applications, and presents insight into the motivations and ideas behind the theory. - Presents the fundamental definitions and results necessary for reaching the frontiers of research in this field. This text is largely self-contained. Prerequisites include basic knowledge of introductory manifold theory and of curvature properties of Riemannian geometry. Advanced undergraduates, graduate students and researchers in differential geometry will benefit from this concise approach to an important topic.
650		0	_aMathematics.
650		0	_aGlobal analysis.
650		0	_aDifferential equations, partial.
650		0	_aGlobal differential geometry.
650	1	4	_aMathematics.
650	2	4	_aDifferential Geometry.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aSeveral Complex Variables and Analytic Spaces.
700	1		_aOkumura, Masafumi. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441904331
830		0	_aDevelopments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, _x1389-2177 ; _v19
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-0434-8
912			_aZDB-2-SMA
999			_c110199 _d110199