2025-04-042025-04-042025-03-07MOYSES, Junior Rodrigues. Hipersuperfícies de Einstein em espaços de produto torcido. 2025. 105 f. Dissertação (Mestrado em Matemática) -Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiânia, 2025.http://repositorio.bc.ufg.br/tede/handle/tede/14028with n ≥ 2, where I ⊂ R is an open interval, ω is the warping function and Qn ε denotes the simply connected space form of constant sectional curvature ε = −1,0,1. Knowing that constant sectional curvature manifolds (CSC, for short) are the simplest examples of Einstein manifolds, through references such as [5], [7], [11], [13], [14] and [19] we seeked conditions for an Einstein hypersurface of I ×ω Qn ε is necessarily CSC. For certain warping functions ω, we studied the existence of these hypersurfaces through the class of rotational hypersurfaces. Furthermore, using the theory of isoparametric hypersurfaces, we characterized a special type of Einstein hypersurfaces - called ideal - as local graphs of parallel hypersurfaces of Qn ε in which, under certain conditions in main curvatures, are CSC.Acesso Abertohttp://creativecommons.org/licenses/by-nc-nd/4.0/Hipersuperfícies de EinsteinCurvatura seccional constanteProdutos torcidosHipersuperfícies de rotaçãoHipersuperfícies paralelasEinstein hypersurfacesConstant sectional curvatureWarped roductsRotation ypersurfacesParallel hypersurfacesCIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA::GEOMETRIA DIFERENCIALDissertação