Batista, Márcio; Bisci, Giovanni Molica; De Lima, Henrique Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density. (English) Zbl 07817689 Math. Eng. (Springfield) 5, No. 3, Paper No. 54, 18 p. (2023). Reviewer: Andrea Tamburelli (Houston) MSC: 53C50 53C40 PDFBibTeX XMLCite \textit{M. Batista} et al., Math. Eng. (Springfield) 5, No. 3, Paper No. 54, 18 p. (2023; Zbl 07817689) Full Text: DOI
da Silva, Danilo F.; Lima, Eraldo A. jun.; de Lima, Henrique F. Uniqueness of hypersurfaces in weighted product spaces via maximum principles for the drift Laplacian. (English) Zbl 1525.53095 Boll. Unione Mat. Ital. 16, No. 3, 507-520 (2023). Reviewer: Abimbola Abolarinwa (Lagos) MSC: 53E20 53E10 53C21 PDFBibTeX XMLCite \textit{D. F. da Silva} et al., Boll. Unione Mat. Ital. 16, No. 3, 507--520 (2023; Zbl 1525.53095) Full Text: DOI
da Silva, Danilo F.; Lima, Eraldo A. jun.; de Lima, Henrique F. Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces. (English) Zbl 1520.53049 SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 4, 16 p. (2023). Reviewer: Mohammed Abdelmalek (Tlemcen) MSC: 53C40 53C50 PDFBibTeX XMLCite \textit{D. F. da Silva} et al., SN Partial Differ. Equ. Appl. 4, No. 2, Paper No. 4, 16 p. (2023; Zbl 1520.53049) Full Text: DOI
Batista, Márcio; Molica Bisci, Giovanni; de Lima, Henrique Entire translating graphs in weighted product spaces: rigidity and nonexistence results. (English) Zbl 1495.53080 Differ. Geom. Appl. 83, Article ID 101899, 12 p. (2022). MSC: 53C42 53E10 PDFBibTeX XMLCite \textit{M. Batista} et al., Differ. Geom. Appl. 83, Article ID 101899, 12 p. (2022; Zbl 1495.53080) Full Text: DOI
Velásquez, Marco A. L.; De Lima, Henrique F.; Ramalho, André F. A. Local rigidity, bifurcation, and stability of \(H_f\)-hypersurfaces in weighted Killing warped products. (English) Zbl 1475.35034 Publ. Mat., Barc. 65, No. 1, 363-388 (2021). MSC: 35B32 35P15 53C42 58E09 58J55 PDFBibTeX XMLCite \textit{M. A. L. Velásquez} et al., Publ. Mat., Barc. 65, No. 1, 363--388 (2021; Zbl 1475.35034) Full Text: DOI
Araújo, Jogli G.; De Lima, Henrique F.; Gomes, Wallace F.; Velásquez, Marco Antonio L. Submanifolds immersed in a warped product with density. (English) Zbl 1479.53022 Bull. Belg. Math. Soc. - Simon Stevin 27, No. 5, 683-696 (2020). MSC: 53B25 53C42 PDFBibTeX XMLCite \textit{J. G. Araújo} et al., Bull. Belg. Math. Soc. - Simon Stevin 27, No. 5, 683--696 (2020; Zbl 1479.53022) Full Text: DOI
de Lima, Henrique F.; Ramalho, Andre F. A.; Velasquez, Marco Antonio L. Solutions to mean curvature equations in weighted standard static spacetimes. (English) Zbl 1509.53024 Electron. J. Differ. Equ. 2020, Paper No. 83, 19 p. (2020). MSC: 53B25 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Electron. J. Differ. Equ. 2020, Paper No. 83, 19 p. (2020; Zbl 1509.53024) Full Text: Link
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
de Lima, Eudes L.; de Lima, Henrique F.; Ramalho, André F. A.; Velásquez, Marco A. L. Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability. (English) Zbl 1439.53055 Result. Math. 75, No. 3, Paper No. 76, 31 p. (2020). MSC: 53C40 53C50 35P15 PDFBibTeX XMLCite \textit{E. L. de Lima} et al., Result. Math. 75, No. 3, Paper No. 76, 31 p. (2020; Zbl 1439.53055) Full Text: DOI
de Lima, Henrique F.; Ramalho, André F. A.; Velásquez, Marco A. L. Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density. (English) Zbl 1437.53047 Differ. Geom. Appl. 70, Article ID 101623, 14 p. (2020). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Differ. Geom. Appl. 70, Article ID 101623, 14 p. (2020; Zbl 1437.53047) Full Text: DOI
Albujer, Alma L.; de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime. (English) Zbl 1394.53060 Mediterr. J. Math. 15, No. 3, Paper No. 84, 17 p. (2018). MSC: 53C40 53C42 35P15 53C50 PDFBibTeX XMLCite \textit{A. L. Albujer} et al., Mediterr. J. Math. 15, No. 3, Paper No. 84, 17 p. (2018; Zbl 1394.53060) Full Text: DOI arXiv
de Lima, Henrique F.; Lima, Eraldo jun.; Medeiros, Adriano; Santos, Márcio S. Liouville type results for two-sided hypersurfaces in weighted Killing warped products. (English) Zbl 1386.53069 Bull. Braz. Math. Soc. (N.S.) 49, No. 1, 43-55 (2018). MSC: 53C40 53B25 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Bull. Braz. Math. Soc. (N.S.) 49, No. 1, 43--55 (2018; Zbl 1386.53069) Full Text: DOI
de Lima, Eudes L.; de Lima, Henrique F.; dos Santos, Fábio R. On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products. (English) Zbl 1386.53074 Result. Math. 73, No. 1, Paper No. 14, 16 p. (2018). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{E. L. de Lima} et al., Result. Math. 73, No. 1, Paper No. 14, 16 p. (2018; Zbl 1386.53074) Full Text: DOI
de Lima, Henrique F.; Oliveira, Arlandson M. S.; Santos, Márcio S. Rigidity of entire graphs in weighted product spaces with nonnegative Bakry-Émery-Ricci tensor. (English) Zbl 1386.53075 Adv. Geom. 17, No. 1, 53-59 (2017). MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Adv. Geom. 17, No. 1, 53--59 (2017; Zbl 1386.53075) Full Text: DOI
de Lima, Henrique F.; Santos, Márcio S. Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature. (English) Zbl 1381.53106 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 63, No. 2, 323-332 (2017). MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{H. F. de Lima} and \textit{M. S. Santos}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 63, No. 2, 323--332 (2017; Zbl 1381.53106) Full Text: DOI
de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products. (English) Zbl 1385.53024 J. Geom. Anal. 27, No. 3, 2278-2301 (2017). Reviewer: James Hebda (St. Louis) MSC: 53C20 53C40 35P15 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., J. Geom. Anal. 27, No. 3, 2278--2301 (2017; Zbl 1385.53024) Full Text: DOI
Oliveira, Arlandson M. S.; de Lima, Henrique F. On the existence of \(f\)-maximal spacelike hypersurfaces in certain weighted manifolds. (English) Zbl 1375.53078 Bull. Aust. Math. Soc. 96, No. 2, 317-325 (2017). MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{A. M. S. Oliveira} and \textit{H. F. de Lima}, Bull. Aust. Math. Soc. 96, No. 2, 317--325 (2017; Zbl 1375.53078) Full Text: DOI
Albujer, Alma L.; de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes. (English) Zbl 1355.53051 Differ. Geom. Appl. 50, 140-154 (2017). MSC: 53C42 53A07 35P15 53C50 PDFBibTeX XMLCite \textit{A. L. Albujer} et al., Differ. Geom. Appl. 50, 140--154 (2017; Zbl 1355.53051) Full Text: DOI arXiv
de Lima, Eudes L.; de Lima, Henrique F.; Dos Santos, Fábio R. On the stability of \(f\)-maximal spacelike hypersurfaces in weighted generalized Robertson-Walker spacetimes. (English) Zbl 1373.53087 Bull. Pol. Acad. Sci., Math. 64, No. 2-3, 199-208 (2016). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C42 53B30 53C50 PDFBibTeX XMLCite \textit{E. L. de Lima} et al., Bull. Pol. Acad. Sci., Math. 64, No. 2--3, 199--208 (2016; Zbl 1373.53087) Full Text: DOI
de Lima, Henrique F.; Oliveira, Arlandson M. S.; Santos, Márcio S. Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature. (English) Zbl 1356.53064 Beitr. Algebra Geom. 57, No. 3, 623-635 (2016). Reviewer: Viviana del Barco (Rosario) MSC: 53C42 53A07 53C50 35P15 PDFBibTeX XMLCite \textit{H. F. de Lima} et al., Beitr. Algebra Geom. 57, No. 3, 623--635 (2016; Zbl 1356.53064) Full Text: DOI
Cavalcante, Marcos P.; de Lima, Henrique F.; Santos, Márcio S. On Bernstein-type properties of complete hypersurfaces in weighted warped products. (English) Zbl 1337.53077 Ann. Mat. Pura Appl. (4) 195, No. 2, 309-322 (2016). MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{M. P. Cavalcante} et al., Ann. Mat. Pura Appl. (4) 195, No. 2, 309--322 (2016; Zbl 1337.53077) Full Text: DOI
Cavalcante, M. P.; De Lima, H. F.; Santos, M. S. New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes. (English) Zbl 1374.53086 Acta Math. Hung. 145, No. 2, 440-454 (2015). Reviewer: Luc Vrancken (Valenciennes) MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{M. P. Cavalcante} et al., Acta Math. Hung. 145, No. 2, 440--454 (2015; Zbl 1374.53086) Full Text: DOI