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 Mathematics , 2010, Abstract: It is shown that the estimates obtained by Manfredo P. do Carmo and Detang Zhou, in their paper "Eigenvalue estimate on complete noncompact Riemannian manifolds and applications", for the first eigenvalue of the Laplace-Beltrami operator on open manifolds, via an oscillation theorem, can be naturally extended for the semi-elliptic singular operator operator, p-Laplace on manifolds.
 Mathematics , 2012, Abstract: In 1991, Dajczer and Rodriguez proved in [10] that a complete minimal real Kahler submanifold of codimension 2, if with complex dimension > 2, would be either holomorphic, or a cylinder, or complex ruled. In this article, we generalize their result to real analytic complete real Kahler submanifolds of codimension 4. The conclusion is that such the submanifold, if with complex dimension > 4, would be either partially holomorphic, or a cylinder, or a twisted cylinder in the sense that the complex relative nullity foliation is contained in a strictly larger holomorphic foliation, whose leaves are cylinders. We also examine the question of when such a submanifold is complex ruled.
 Sérgio Luiz Silva Mathematics , 2013, Abstract: In this paper, for an immersion $f$ of an $n$-dimensional Riemannian manifold $M$ into $(n+d)$-Euclidean space we give a sufficient condition on $f$ so that, in case $d\leq 5$, any immersion $g$ of $M$ into $(n+d+1)$-Euclidean space that induces on $M$ a metric that is conformal to the metric induced by $f$ is locally obtained, in a dense subset of $M$, by a composition of $f$ and a conformal immersion from an open subset of $(n+d)$-Euclidean space into an open subset of $(n+d+1)$-Euclidean space. Our result extends a theorem for hypersurfaces due to M. Dajczer and E. Vergasta. The restriction on the codimension is related to a basic lemma in the theory of rigidity obtained by M. do Carmo and M. Dajczer.
 Rem: Revista Escola de Minas , 2009, DOI: 10.1590/S0370-44672009000400004 Abstract: hundreds of kimberlite or related intrusions are known in the alto paranaíba diamondiferous province, in the states of minas gerais and goiás. the abel régis intrusion, located in carmo do paranaíba county is one of these bodies that was discovered in the 1970′s by de beers, and has generally been recognized as kimberlite. neoproterozoic metasedimentary rocks of the bambuí group are found in the intrusion area. these rocks are cut by the cretaceous(?) body outcropping as a nearly circular section with 1,400 m in diameter. distinct petrographic facies, including crater facies, can be recognized in the body. as the previous data was not informative about the mineralogical features of the intrusion, studies were also performed with electron microprobe, which indicated significant changes in relation to the allowed concepts. the most important were: the local predominance of cr-spinel in relation to ilmenite, mg-poor ilmenites, and an abundant presence of the k-feldspar sanidine. these characteristics, added to the cup-shaped body, point out that the abel régis intrusion could probably present a lamproitic affinity.
 Anais do Museu Paulista: História e Cultura Material , 1999, DOI: 10.1590/S0101-47141999000100003 Abstract: this work examines sao paulo's iconography in the paintings, water colors and litographies of the 19th century. departing from the ascertaining of the existence of a privilege of the city's surrounding areas, particularly the carmo meadow, and of this permanence yet in the turn of the century, when the city goes under an urbanization process and special growth, and photography is registring the central areas, we wanted to investigate the meanings of these representations. not only the presence of this space - the carmo meadow - in the imagery of this period (chroniclers, legislators, memorialists) but also the images of the city that have been made from this point of view. we have chosen to analyze some images of this area, focusing on the end of the century, in a counterpoint to works depicting the same region by chroniclers, journalists and memorialists, in an attempt to understand a little more about the society that had produced them.
 Maria Helena de Souza Signótica , 1987, DOI: 10.5216/sig.v1i1.7203 Abstract: A OBRA DE CARMO BERNARDES: ARTE E FONTE DE PESQUISA THE WORK OF CARMO BERNARDES: ART AND POWER SEARCH
 Mathematics , 2015, Abstract: We address the problem of determining the hypersurfaces $f\colon M^{n} \to \mathbb{Q}_s^{n+1}(c)$ with dimension $n\geq 3$ of a pseudo-Riemannian space form of dimension $n+1$, constant curvature $c$ and index $s\in \{0, 1\}$ for which there exists another isometric immersion $\tilde{f}\colon M^{n} \to \mathbb{Q}^{n+1}_{\tilde s}(\tilde{c})$ with $\tilde{c}\neq c$. For $n\geq 4$, we provide a complete solution by extending results for $s=0=\tilde s$ by do Carmo and Dajczer and by Dajczer and the second author. Our main results are for the most interesting case $n=3$, and these are new even in the Riemannian case $s=0=\tilde s$. In particular, we characterize the solutions that have dimension $n=3$ and three distinct principal curvatures. We show that these are closely related to conformally flat hypersurfaces of $\mathbb{Q}_s^{4}(c)$ with three distinct principal curvatures, and we obtain a similar characterization of the latter that improves a theorem by Hertrich-Jeromin. We also derive a Ribaucour transformation for both classes of hypersurfaces, which gives a process to produce a family of new elements of those classes, starting from a given one, in terms of solutions of a linear system of PDE's. This enables us to construct explicit examples of three-dimensional solutions of the problem, as well as new explicit examples of three-dimensional conformally flat hypersurfaces that have three distinct principal curvatures.
 Mario Henrique Resende Melo Horizonte : Revista de Estudos de Teologia e Ciências da Religi？o , 2013, DOI: 10.5752/3477 Abstract: DISSERTA O DE MESTRADO MELO, Mário Henrique Resende. O significado histórico religioso da venerável ordem terceira de Nossa Senhora do Monte do Carmo de Sabará nas minas oitocentistas: práticas religiosas e representa es. 2011. 100 folhas. Disserta o (Mestrado) – Pontifícia Universidade Católica de Minas Gerais, Programa de Pós-gradua o em Ciências da Religi o, Belo Horizonte.