000			02030n a2200265#a 4500
001			36067
003			P5A
005			20221213140534.0
007			cr cuuuuuauuuu
008			150203s2015 bl por d
035			_aocm51338542
040			_aP5A _cP5A
090			_acs
100	1		_aAnderson, Michael _u(Stony Brook University, USA) _96761
245	1	0	_aHandlebodies with constant curvature metrics and minimal surface boundary.
260			_aRio de Janeiro: _bIMPA, _c2015.
300			_avideo online
505	2		_aWe study the moduli space of constant curvature metrics g on a 3-d handlebody with boundary having mean curvature 0, so minimal surface boundary (or more generally CMC boundary). This is a generalization of Alexandrov immersed minimal surfaces in 3-d space forms. We prove that this moduli space is a smooth manifold, locally diffeomorphic to the Teichmuller space of the boundary surface, when the genus of the boundary is at least 2. We conjecture that the spaces are in fact diffeomorphic (on each component). This result is false per se for genus 1 boundaries, but the method of proof gives rise to a new proof of Brendle's solution of the Lawson conjecture on embedded minimal tori in S^3. The talk will discuss the context and basic ideas of the proof. We hope to discuss relations and/or questions with hyperbolic 3-manifolds .
650	0	4	_aMatematica. _2larpcal _919899
697			_aCongressos e Seminários. _923755
711	2		_aHyperbolic Geometry and Minimal Surfaces _d(2015: _cIMPA, Rio de Janeiro, Brazil) _96755
856	4		_zVIDEO _uhttps://www.youtube.com/watch?v=yWCYb6ef0u4&list=PLo4jXE-LdDTSse0dM2KDQFGXqPMkAQNaf&index=10
856	4		_zRESUMOS _uhttps://impa.br/wp-content/uploads/2016/12/abstracts.pdf
942			_2ddc _cBK
999			_aHANDLEBODIES with constant curvature metrics and minimal surface boundary. Rio de Janeiro: IMPA, 2015. video online. Disponível em: <https://www.youtube.com/watch?v=yWCYb6ef0u4&list=PLo4jXE-LdDTSse0dM2KDQFGXqPMkAQNaf&index=10>. Acesso em: 3 fev. 2015. _c34923 _d34923