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001			309591
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007			cr nn 008mamaa
008			150903s2008 sz | o |||| 0|eng d
020			_a9783764386429 _99783764386429
024	7		_a10.1007/9783764386429 _2doi
035			_avtls000362943
039		9	_a201509030650 _bVLOAD _c201405070336 _dVLOAD _y201402211135 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA641-670
100	1		_aPigola, Stefano. _eautor _9349953
245	1	0	_aVanishing and Finiteness Results in Geometric Analysis : _bA Generalization of the Bochner Technique / _cby Stefano Pigola, Alberto G. Setti, Marco Rigoli.
264		1	_aBasel : _bBirkhäuser Basel, _c2008.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aProgress in Mathematics ; _v266
500			_aSpringer eBooks
505	0		_aHarmonic, pluriharmonic, holomorphic maps and basic Hermitian and Kählerian geometry -- Comparison Results -- Review of spectral theory -- Vanishing results -- A finite-dimensionality result -- Applications to harmonic maps -- Some topological applications -- Constancy of holomorphic maps and the structure of complete Kähler manifolds -- Splitting and gap theorems in the presence of a Poincaré-Sobolev inequality.
520			_aThis book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods from spectral theory and qualitative properties of solutions of PDEs to comparison theorems in Riemannian geometry and potential theory. All needed tools are described in detail, often with an original approach. Some of the applications presented concern the topology at infinity of submanifolds, Lp cohomology, metric rigidity of manifolds with positive spectrum, and structure theorems for Kähler manifolds. The book is essentially self-contained and supplies in an original presentation the necessary background material not easily available in book form.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aSetti, Alberto G. _eautor _9324733
700	1		_aRigoli, Marco. _eautor _9324732
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764386412
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-8642-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c309591 _d309591