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Search Results: 1 - 10 of 19624 matches for " Rui Fernandes "
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Lie Algebroids, Holonomy and Characteristic Classes
Rui Loja Fernandes
Mathematics , 2000,
Abstract: We extend the notion of connection in order to be able to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural extension of the usual concept of connection. Using connections, we are able to define holonomy of the orbit foliation of a Lie algebroid and prove a stability theorem. We also introduce secondary or exotic characteristic classes that generalize the modular class of a Lie algebroid.
Connections in Poisson Geometry I: Holonomy and Invariants
Rui Loja Fernandes
Mathematics , 2000,
Abstract: We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by Izu Vaisman. We show that these connections play an important role in the study of global properties of Poisson manifolds and we use them to define Poisson holonomy and new invariants of Poisson manifolds.
Invariants of Lie algebroids
Rui L. Fernandes
Mathematics , 2002,
Abstract: Several new invariants for Lie algebroids have been discovered recently. We give an overview of these invariants and establish several relationships between them.
A Note on Proper Poisson Actions
Rui Loja Fernandes
Mathematics , 2005,
Abstract: We show that the fixed point set of a proper action of a Lie group $G$ on a Poisson manifold $M$ by Poisson automorphisms has a natural induced Poisson structure and we give several applications.
The Symplectization Functor
Rui Loja Fernandes
Mathematics , 2006,
Abstract: We describe a symplectization functor from the Poisson category to the symplectic "category" and we study some of its properties.
Normal Forms and Lie Groupoid Theory
Rui Loja Fernandes
Mathematics , 2014,
Abstract: In these lectures notes I discuss the Linearization Theorem for Lie groupoids, and its relation to the various classical linearization theorems for submersions, foliations and group actions. In particular, I explain in some detail the recent metric approach to this problem.
Fratura do acr?mio associada a les?o arterial: relato de caso
Fernandes, Marcos Rassi;Fernandes, Rui José;
Jornal Vascular Brasileiro , 2010, DOI: 10.1590/S1677-54492010000200015
Abstract: fracture of the acromion and arterial injury are a rare association. the clinical picture is characterized by shoulder pain, functional disability and swelling of the affected limb with decreased distal pulse and temperature. radiography of the shoulder and arteriography define the diagnosis and assist in postoperative follow-up. the authors report a rare case of fracture of the acromion associated with injury of the ipsilateral ulnar artery and describe its treatment, as well as pre- and postoperative evaluations.
Descompress?o artroscópica indireta do cisto espinoglenoidal com neuropatia do supraescapular: relato de dois casos e revis?o da literatura
Fernandes, Marcos Rassi;Fernandes, Rui José;
Revista Brasileira de Ortopedia , 2010, DOI: 10.1590/S0102-36162010000300015
Abstract: suprascapular nerve compression is rare and should be considered in the differential diagnosis of patients with shoulder pain and lateral rotation strength deficit. spinoglenoidal cyst may be the reason for compression and a posterior superior glenoid lip rupture may be the most probable hypothesis for their appearance. magnetic resonance imaging and electromyography define the diagnosis. indirect arthroscopic decompression of the cyst and repair of glenoid lip allow for a neurologically complete recovery. the authors report two cases of isolated paralysis of the infraspinatus muscle caused by compression of spinoglenoids cysts treated by arthroscopy, as well as its pre- and post-operative assessment.
Artroscopia no tratamento da tendinite calcária refratária do ombro
Fernandes, Marcos Rassi;Fernandes, Rui José;
Revista Brasileira de Ortopedia , 2010, DOI: 10.1590/S0102-36162010000100010
Abstract: objective: to evaluate the results of arthroscopic treatment in patients with calcific tendonitis of the shoulder. methods: between september 2001 and june 2006, 55 patients with calcific tendonitis of the shoulder that was resistant to prior conservative treatment were evaluated, with follow-up of 12 to 70 months. the mean age was 42 years, ranging from 30 to 64 years; 44 patients were female (80%), with 37 right shoulders, with a predominance of 63.63% . pain was the main symptom, and the mean time between onset of symptoms and arthroscopy was 38 months (five to 120 months). in relation to the affected tendons, the supraspinatus tendon was predominant, with 42 cases, the infraspinatus in 11, and an association between the two in 2 cases. acromioplasty was carried out in 12 patients (21.82%) and subacromial bursectomy was performed in all cases. results: according to the ucla evaluation system, 46 cases were classified as excellent and 6 as good, making a total of 52 satisfactory results achieved (94.54%). conclusion: arthroscopic treatment of calcific tendonitis of the shoulder appears to be an effective method, with high rates of satisfactory results. associated acromioplasty is not necessary.
Integrability of Lie brackets
Marius Crainic,Rui L. Fernandes
Physics , 2001,
Abstract: In this paper we present the solution to a longstanding problem of differential geometry: Lie's third theorem for Lie algebroids. We show that the integrability problem is controlled by two computable obstructions. As applications we derive, explain and improve the known integrability results, we establish integrability by local Lie groupoids, we clarify the smoothness of the Poisson sigma-model for Poisson manifolds, and we describe other geometrical applications.
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