Aquino, Cícero P.; de Lima, Henrique F. Nomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvature. (English) Zbl 1481.53074 Boll. Unione Mat. Ital. 14, No. 3, 547-556 (2021). Reviewer: Paweł Walczak (Łódź) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. de Lima}, Boll. Unione Mat. Ital. 14, No. 3, 547--556 (2021; Zbl 1481.53074) Full Text: DOI
Aquino, Cícero P.; Baltazar, Halyson I.; de Lima, Henrique F. New Calabi-Bernstein type results in Lorentzian product spaces with density. (English) Zbl 1440.53069 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111855, 9 p. (2020). MSC: 53C42 53A07 35P15 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111855, 9 p. (2020; Zbl 1440.53069) Full Text: DOI
Aquino, Cícero P.; Batista, Márcio; de Lima, Henrique F. On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form. (English) Zbl 1414.53049 J. Geom. Phys. 137, 228-236 (2019). MSC: 53C42 53B30 53C50 53Z05 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., J. Geom. Phys. 137, 228--236 (2019; Zbl 1414.53049) Full Text: DOI
Aquino, Cícero P.; Baltazar, Halyson I.; de Lima, Henrique F. Characterizing horospheres of the hyperbolic space via higher order mean curvatures. (English) Zbl 1410.53056 Differ. Geom. Appl. 62, 109-119 (2019). MSC: 53C42 53A10 53C20 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Differ. Geom. Appl. 62, 109--119 (2019; Zbl 1410.53056) Full Text: DOI
Aquino, Cícero P.; Batista, Márcio; de Lima, Henrique F. On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces. (English) Zbl 1410.53057 Adv. Geom. 18, No. 4, 425-430 (2018). Reviewer: Yun Myung Oh (Berrien Springs) MSC: 53C42 53B30 53C24 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Adv. Geom. 18, No. 4, 425--430 (2018; Zbl 1410.53057) Full Text: DOI
Aquino, C.; Baltazar, H.; de Lima, H. F. A new Calabi-Bernstein type result in spatially closed generalized Robertson-Walker spacetimes. (English) Zbl 1381.53098 Milan J. Math. 85, No. 2, 235-245 (2017). MSC: 53C42 53B30 53C50 53Z05 PDFBibTeX XMLCite \textit{C. Aquino} et al., Milan J. Math. 85, No. 2, 235--245 (2017; Zbl 1381.53098) Full Text: DOI
Aquino, Cícero; Baltazar, Halyson On the angle of complete hypersurfaces in semi-Riemannian product spaces. (English) Zbl 1380.53060 Bull. Braz. Math. Soc. (N.S.) 48, No. 4, 697-715 (2017). MSC: 53C42 53B30 53C50 53Z05 PDFBibTeX XMLCite \textit{C. Aquino} and \textit{H. Baltazar}, Bull. Braz. Math. Soc. (N.S.) 48, No. 4, 697--715 (2017; Zbl 1380.53060) Full Text: DOI
Aquino, C. P.; Batista, M.; de Lima, H. F. On the umbilicity of hypersurfaces in the hyperbolic space. (English) Zbl 1379.53079 J. Aust. Math. Soc. 103, No. 1, 45-58 (2017). MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., J. Aust. Math. Soc. 103, No. 1, 45--58 (2017; Zbl 1379.53079) Full Text: DOI
Aquino, Cícero P.; Araújo, Jogli G.; Batista, Márcio; de Lima, Henrique F. Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures. (English) Zbl 1372.53058 Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 45-61 (2017). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 45--61 (2017; Zbl 1372.53058) Full Text: DOI
Aquino, Cícero P.; Araújo, Jogli G.; de Lima, Henrique F. Rigidity of complete hypersurfaces in warped product spaces via higher order mean curvatures. (English) Zbl 1347.53047 Beitr. Algebra Geom. 57, No. 2, 391-405 (2016). Reviewer: Ye-Lin Ou (Commerce) MSC: 53C42 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Beitr. Algebra Geom. 57, No. 2, 391--405 (2016; Zbl 1347.53047) Full Text: DOI
Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. Characterizations of spacelike hyperplanes in the steady state space via generalized maximum principles. (English) Zbl 1341.53082 Milan J. Math. 83, No. 2, 199-209 (2015). Reviewer: Raina Ivanova (Hilo) MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Milan J. Math. 83, No. 2, 199--209 (2015; Zbl 1341.53082) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. Linear Weingarten hypersurfaces with bounded mean curvature in the hyperbolic space. (English) Zbl 1327.53075 Glasg. Math. J. 57, No. 3, 653-663 (2015). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C42 53C40 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Glasg. Math. J. 57, No. 3, 653--663 (2015; Zbl 1327.53075) Full Text: DOI
Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. Spacelike hypersurfaces with constant \(r\)th mean curvature in steady state type spacetimes. (English) Zbl 1319.53060 J. Geom. 106, No. 1, 85-96 (2015). MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., J. Geom. 106, No. 1, 85--96 (2015; Zbl 1319.53060) Full Text: DOI
Aquino, Cícero P.; de Lima, Henrique F.; Lima, Eraldo A. Complete CMC spacelike hypersurfaces immersed in a Lorentzian product space. (English) Zbl 1330.53076 Arch. Math. 104, No. 6, 577-587 (2015). Reviewer: Themistocles M. Rassias (Athens) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Arch. Math. 104, No. 6, 577--587 (2015; Zbl 1330.53076) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. Characterizations of linear Weingarten spacelike hypersurfaces in Lorentz space forms. (English) Zbl 1314.53104 Rocky Mt. J. Math. 45, No. 1, 13-27 (2015). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Rocky Mt. J. Math. 45, No. 1, 13--27 (2015; Zbl 1314.53104) Full Text: DOI Euclid
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. On the geometry of complete spacelike hypersurfaces in the anti-de Sitter space. (English) Zbl 1308.53090 Geom. Dedicata 174, 13-23 (2015). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Geom. Dedicata 174, 13--23 (2015; Zbl 1308.53090) Full Text: DOI
Aquino, Cícero P.; de Lima, Henrique F.; Lima, Eraldo A. On the angle of complete CMC hypersurfaces in Riemannian product spaces. (English) Zbl 1325.53073 Differ. Geom. Appl. 33, 139-148 (2014). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Differ. Geom. Appl. 33, 139--148 (2014; Zbl 1325.53073) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F. On the umbilicity of complete constant mean curvature spacelike hypersurfaces. (English) Zbl 1307.53045 Math. Ann. 360, No. 3-4, 555-569 (2014). Reviewer: James Hebda (St. Louis) MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. De Lima}, Math. Ann. 360, No. 3--4, 555--569 (2014; Zbl 1307.53045) Full Text: DOI
Aquino, C. P.; De Lima, H. F. On the unicity of complete hypersurfaces immersed in a semi-Riemannian warped product. (English) Zbl 1303.53076 J. Geom. Anal. 24, No. 2, 1126-1143 (2014). MSC: 53C42 53B30 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. De Lima}, J. Geom. Anal. 24, No. 2, 1126--1143 (2014; Zbl 1303.53076) Full Text: DOI
Aquino, Cicero Pedro; de Lima, Henrique Fernandes On the geometry of horospheres. (English) Zbl 1308.53091 Comment. Math. Helv. 89, No. 3, 617-629 (2014). Reviewer: Yun Myung Oh (Berrien Springs) MSC: 53C42 53C30 53C50 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. de Lima}, Comment. Math. Helv. 89, No. 3, 617--629 (2014; Zbl 1308.53091) Full Text: DOI
Barros, Abdênago; Aquino, Cícero; de Lima, Henrique Complete CMC hypersurfaces in the hyperbolic space with prescribed Gauss mapping. (English) Zbl 1298.53049 Proc. Am. Math. Soc. 142, No. 10, 3597-3604 (2014). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{A. Barros} et al., Proc. Am. Math. Soc. 142, No. 10, 3597--3604 (2014; Zbl 1298.53049) Full Text: DOI
Barros, Abdênago; Aquino, Cícero; de Lima, Henrique On the rigidity of hypersurfaces into space forms. (English) Zbl 1292.53035 Ann. Mat. Pura Appl. (4) 193, No. 3, 689-698 (2014). MSC: 53C40 53C42 PDFBibTeX XMLCite \textit{A. Barros} et al., Ann. Mat. Pura Appl. (4) 193, No. 3, 689--698 (2014; Zbl 1292.53035) Full Text: DOI
Aquino, Cícero P. On the Gauss mapping of hypersurfaces with constant scalar curvature in \(\mathbb H^{n+1}\). (English) Zbl 1293.53073 Bull. Braz. Math. Soc. (N.S.) 45, No. 1, 117-131 (2014). MSC: 53C42 PDFBibTeX XMLCite \textit{C. P. Aquino}, Bull. Braz. Math. Soc. (N.S.) 45, No. 1, 117--131 (2014; Zbl 1293.53073) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. Generalized maximum principles and the characterization of linear Weingarten hypersurfaces in space forms. (English) Zbl 1304.53051 Mich. Math. J. 63, No. 1, 27-40 (2014). Reviewer: Ivko Dimitric (Lemont Furnace) MSC: 53C40 53C42 PDFBibTeX XMLCite \textit{C. P. Aquino} et al., Mich. Math. J. 63, No. 1, 27--40 (2014; Zbl 1304.53051) Full Text: DOI Euclid
Aquino, Cicero P.; de Lima, Henrique F. On the geometry of linear Weingarten hypersurfaces in the hyperbolic space. (English) Zbl 1279.53055 Monatsh. Math. 171, No. 3-4, 259-268 (2013). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C42 53A35 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. de Lima}, Monatsh. Math. 171, No. 3--4, 259--268 (2013; Zbl 1279.53055) Full Text: DOI
Aquino, C. P.; De Lima, H. F. Uniqueness of complete hypersurfaces with bounded higher order mean curvatures in semi-Riemannian warped products. (English) Zbl 1242.53065 Glasg. Math. J. 54, No. 1, 201-212 (2012). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C42 53B30 53C50 53Z05 83C99 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. De Lima}, Glasg. Math. J. 54, No. 1, 201--212 (2012; Zbl 1242.53065) Full Text: DOI
Aquino, C. P.; de Lima, H. F. On the Gauss map of complete CMC hypersurfaces in the hyperbolic space. (English) Zbl 1251.53035 J. Math. Anal. Appl. 386, No. 2, 862-869 (2012). Reviewer: Bernd Ammann (Regensburg) MSC: 53C42 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. de Lima}, J. Math. Anal. Appl. 386, No. 2, 862--869 (2012; Zbl 1251.53035) Full Text: DOI
Aquino, C. P.; de Lima, H. F. On the rigidity of constant mean curvature complete vertical graphs in warped products. (English) Zbl 1219.53056 Differ. Geom. Appl. 29, No. 4, 590-596 (2011). MSC: 53C42 53C24 PDFBibTeX XMLCite \textit{C. P. Aquino} and \textit{H. F. de Lima}, Differ. Geom. Appl. 29, No. 4, 590--596 (2011; Zbl 1219.53056) Full Text: DOI