000			02128n a2200301#a 4500
001			40181
003			P5A
005			20230123132003.0
007			cr cuuuuuauuuu
008			211020s2021 bl por d
035			_aocm51338542
040			_aP5A _cP5A
090			_atimpa
100	1		_aFerreira Netto, Clarice de Souza _91279
245	1	0	_aCompatibility of Nijenhuis operators with Dirac structures and Courant algebroids/ _cClarice Netto.
246	1	1	_aCompatibilidade de operadores Nijenhuis com estruturas de Dirac e algebróides de Courant
260			_aRio de Janeiro: _bIMPA, _c2021.
300			_avideo online
500			_aDefesa de Tese.
500			_aBanca de defesa: Henrique Bursztyn - ORIENTADOR- IMPA Thiago Drummond- COORIENTADOR - UFRJ Vinicius Ramos - IMPA Paula Balseiro - UFF Pedro Frejlich- UFRGS Igor Mencattini - ICMC
505	1		_aAbstract: We present a notion of compatibility between (1,1)-tensor fields and (almost) Dirac structures, which extends the Poisson-Nijenhuis and presymplectic-Nijenhuis structures. We study several aspects of Dirac-Nijenhuis structures, such as their relation with holomorphic Dirac structures, the geometry of their foliation and quotient, and we construct hierarchies of Dirac-Nijenhuis structures. We consider their integration to presymplectic-Nijenhuis groupoids, and this includes the special case of integration of holomorphic Dirac structures. We also introduce a notion of compatibility between Nijenhuis tensors and Courant algebroids. We connect the Courant-Nijenhuis and Dirac-Nijenhuis structures with the Lie-Nijenhuis bialgebroid structures through the Manin triples .
650	0	4	_aMatematica. _2larpcal _919899
697			_aTeses do IMPA _924311
700	1		_aBursztyn, Henrique _u(IMPA) _eorientador _92937
711	2		_aDefesa de Tese _910070
856	4		_zVIDEO _uhttps://youtu.be/z2Du8EMionA
942			_2impa _cVIDEO
999			_aCOMPATIBILITY of Nijenhuis operators with Dirac structures and Courant algebroids. Clarice Netto. Rio de Janeiro: IMPA, 2021. video online. Disponível em: https://youtu.be/z2Du8EMionA. Acesso em: 20 out. 2021. _c38822 _d38822