Diógenes, Rafael; Gadelha, Tiago; Ribeiro, Ernani jun. Geometry of compact quasi-Einstein manifolds with boundary. (English) Zbl 07569717 Manuscr. Math. 169, No. 1-2, 167-183 (2022). MSC: 53C20 53C25 53C65 PDF BibTeX XML Cite \textit{R. Diógenes} et al., Manuscr. Math. 169, No. 1--2, 167--183 (2022; Zbl 07569717) Full Text: DOI OpenURL
Baltazar, H.; Batista, R.; Ribeiro, E. Jr. Geometric inequalities for critical metrics of the volume functional. (English) Zbl 07534203 Ann. Mat. Pura Appl. (4) 201, No. 3, 1463-1480 (2022). MSC: 58E11 53C25 53C20 53C21 53C65 PDF BibTeX XML Cite \textit{H. Baltazar} et al., Ann. Mat. Pura Appl. (4) 201, No. 3, 1463--1480 (2022; Zbl 07534203) Full Text: DOI OpenURL
Lin, Yueh-Ju; Yuan, Wei Deformations of \(Q\)-curvature. II. (English) Zbl 07488411 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 74, 28 p. (2022). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 53C20 53C21 53C24 PDF BibTeX XML Cite \textit{Y.-J. Lin} and \textit{W. Yuan}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 74, 28 p. (2022; Zbl 07488411) Full Text: DOI arXiv OpenURL
Viana, Emanuel Critical metrics on 4-manifolds with harmonic anti-self dual Weyl tensor. (English) Zbl 1481.58009 J. Geom. Phys. 173, Article ID 104434, 8 p. (2022). MSC: 58E11 53C25 53C20 53C21 53C65 PDF BibTeX XML Cite \textit{E. Viana}, J. Geom. Phys. 173, Article ID 104434, 8 p. (2022; Zbl 1481.58009) Full Text: DOI arXiv OpenURL
Diógenes, R.; Gadelha, T.; Ribeiro, E. jun. Remarks on compact quasi-Einstein manifolds with boundary. (English) Zbl 1486.53059 Proc. Am. Math. Soc. 150, No. 1, 351-363 (2022). Reviewer: Cihan Özgür (Balikesir) MSC: 53C25 53C21 53C24 PDF BibTeX XML Cite \textit{R. Diógenes} et al., Proc. Am. Math. Soc. 150, No. 1, 351--363 (2022; Zbl 1486.53059) Full Text: DOI arXiv OpenURL
Carlotto, Alessandro The general relativistic constraint equations. (English) Zbl 07500591 Living Rev. Relativ. 24, Paper No. 2, 170 p. (2021). MSC: 83Cxx 70H45 PDF BibTeX XML Cite \textit{A. Carlotto}, Living Rev. Relativ. 24, Paper No. 2, 170 p. (2021; Zbl 07500591) Full Text: DOI OpenURL
Baltazar, H.; Diógenes, R.; Ribeiro, E. jun. Volume functional of compact 4-manifolds with a prescribed boundary metric. (English) Zbl 1467.53051 J. Geom. Anal. 31, No. 5, 4703-4720 (2021). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C24 53C25 53C20 53C21 53C65 PDF BibTeX XML Cite \textit{H. Baltazar} et al., J. Geom. Anal. 31, No. 5, 4703--4720 (2021; Zbl 1467.53051) Full Text: DOI arXiv OpenURL
Coutinho, F.; Diógenes, R.; Leandro, B.; Ribeiro, E. Jr Static perfect fluid space-time on compact manifolds. (English) Zbl 1478.83107 Classical Quantum Gravity 37, No. 1, Article ID 015003, 23 p. (2020). MSC: 83C55 54E15 76E20 58J32 PDF BibTeX XML Cite \textit{F. Coutinho} et al., Classical Quantum Gravity 37, No. 1, Article ID 015003, 23 p. (2020; Zbl 1478.83107) Full Text: DOI OpenURL
Kim, Jongsu Static and related critical spaces with harmonic curvature and three Ricci eigenvalues. (English) Zbl 1457.53027 J. Korean Math. Soc. 57, No. 6, 1435-1449 (2020); erratum ibid. 59, No. 3, 649-650 (2022). Reviewer: Chandan Kumar Mondal (Durgapur) MSC: 53C21 53C25 PDF BibTeX XML Cite \textit{J. Kim}, J. Korean Math. Soc. 57, No. 6, 1435--1449 (2020; Zbl 1457.53027) Full Text: DOI OpenURL
Baltazar, H.; Da Silva, A.; Oliveira, F. Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary. (English) Zbl 1435.53034 J. Math. Anal. Appl. 487, No. 2, Article ID 124013, 11 p. (2020). MSC: 53C25 58E11 PDF BibTeX XML Cite \textit{H. Baltazar} et al., J. Math. Anal. Appl. 487, No. 2, Article ID 124013, 11 p. (2020; Zbl 1435.53034) Full Text: DOI arXiv OpenURL
Corvino, Justin; Huang, Lan-Hsuan Localized deformation for initial data sets with the dominant energy condition. (English) Zbl 1443.53021 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 42, 43 p. (2020). Reviewer: Mohammad Khorrami (Tehran) MSC: 53C21 83C99 PDF BibTeX XML Cite \textit{J. Corvino} and \textit{L.-H. Huang}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 42, 43 p. (2020; Zbl 1443.53021) Full Text: DOI arXiv OpenURL
Daszuta, Boris; Frauendiener, Jörg Numerical initial data deformation exploiting a gluing construction. I: Exterior asymptotic Schwarzschild. (English) Zbl 1479.83030 Classical Quantum Gravity 36, No. 18, Article ID 185008, 34 p. (2019). MSC: 83C27 83C05 58H15 53E10 83C57 70F05 PDF BibTeX XML Cite \textit{B. Daszuta} and \textit{J. Frauendiener}, Classical Quantum Gravity 36, No. 18, Article ID 185008, 34 p. (2019; Zbl 1479.83030) Full Text: DOI arXiv OpenURL
Burkhart, Madeleine; Pollack, Daniel Causal geodesic incompleteness of spacetimes arising from IMP gluing. (English) Zbl 1434.83011 Gen. Relativ. Gravitation 51, No. 10, Paper No. 139, 19 p. (2019). MSC: 83C05 83C10 53Z05 83C75 83C57 PDF BibTeX XML Cite \textit{M. Burkhart} and \textit{D. Pollack}, Gen. Relativ. Gravitation 51, No. 10, Paper No. 139, 19 p. (2019; Zbl 1434.83011) Full Text: DOI arXiv OpenURL
Baltazar, Halyson; Diógenes, Rafael; Ribeiro Jr., Ernani Isoperimetric inequality and Weitzenböck type formula for critical metrics of the volume. (English) Zbl 1429.53052 Isr. J. Math. 234, No. 1, 309-329 (2019). MSC: 53C21 49Q20 58E11 PDF BibTeX XML Cite \textit{H. Baltazar} et al., Isr. J. Math. 234, No. 1, 309--329 (2019; Zbl 1429.53052) Full Text: DOI arXiv OpenURL
Fang, Yi; Yuan, Wei Brown-York mass and positive scalar curvature. II: Besse’s conjecture and related problems. (English) Zbl 1418.53052 Ann. Global Anal. Geom. 56, No. 1, 1-15 (2019). MSC: 53C25 PDF BibTeX XML Cite \textit{Y. Fang} and \textit{W. Yuan}, Ann. Global Anal. Geom. 56, No. 1, 1--15 (2019; Zbl 1418.53052) Full Text: DOI arXiv OpenURL
Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei Conformally variational Riemannian invariants. (English) Zbl 1423.53037 Trans. Am. Math. Soc. 371, No. 11, 8217-8254 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 53A55 53C21 53C24 PDF BibTeX XML Cite \textit{J. S. Case} et al., Trans. Am. Math. Soc. 371, No. 11, 8217--8254 (2019; Zbl 1423.53037) Full Text: DOI arXiv OpenURL
Baltazar, Halyson; Ribeiro, Ernani Jr. Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary. (English) Zbl 1400.53028 Pac. J. Math. 297, No. 1, 29-45 (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 53C21 53C25 53C24 PDF BibTeX XML Cite \textit{H. Baltazar} and \textit{E. Jr. Ribeiro}, Pac. J. Math. 297, No. 1, 29--45 (2018; Zbl 1400.53028) Full Text: DOI arXiv OpenURL
Kim, Jongsu; Shin, Jinwoo Four-dimensional static and related critical spaces with harmonic curvature. (English) Zbl 1394.53046 Pac. J. Math. 295, No. 2, 429-462 (2018). Reviewer: Marian Hotloś (Wrocław) MSC: 53C21 53C25 PDF BibTeX XML Cite \textit{J. Kim} and \textit{J. Shin}, Pac. J. Math. 295, No. 2, 429--462 (2018; Zbl 1394.53046) Full Text: DOI arXiv OpenURL
Abedin, Farhan; Corvino, Justin On the \(P\)-scalar curvature. (English) Zbl 1369.53025 J. Geom. Anal. 27, No. 2, 1589-1623 (2017). MSC: 53C21 PDF BibTeX XML Cite \textit{F. Abedin} and \textit{J. Corvino}, J. Geom. Anal. 27, No. 2, 1589--1623 (2017; Zbl 1369.53025) Full Text: DOI OpenURL
Batista, R.; Diógenes, R.; Ranieri, M.; Ribeiro, E. jun. Critical metrics of the volume functional on compact three-manifolds with smooth boundary. (English) Zbl 1372.58010 J. Geom. Anal. 27, No. 2, 1530-1547 (2017). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58E11 58D17 53C20 53C21 53C25 53C65 PDF BibTeX XML Cite \textit{R. Batista} et al., J. Geom. Anal. 27, No. 2, 1530--1547 (2017; Zbl 1372.58010) Full Text: DOI arXiv OpenURL
Baltazar, H.; Ribeiro Jr., E. Critical metrics of the volume functional on manifolds with boundary. (English) Zbl 1368.53035 Proc. Am. Math. Soc. 145, No. 8, 3513-3523 (2017). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C25 53C21 53C24 58D17 58E11 PDF BibTeX XML Cite \textit{H. Baltazar} and \textit{E. Ribeiro Jr.}, Proc. Am. Math. Soc. 145, No. 8, 3513--3523 (2017; Zbl 1368.53035) Full Text: DOI arXiv OpenURL
Barros, A.; Diógenes, R.; Ribeiro, E. jun. Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary. (English) Zbl 1335.53042 J. Geom. Anal. 25, No. 4, 2698-2715 (2015). MSC: 53C20 53C25 53C21 53C65 PDF BibTeX XML Cite \textit{A. Barros} et al., J. Geom. Anal. 25, No. 4, 2698--2715 (2015; Zbl 1335.53042) Full Text: DOI arXiv OpenURL
Matsuo, Shinichiroh The prescribed scalar curvature problem for metrics with unit total volume. (English) Zbl 1307.53030 Math. Ann. 360, No. 3-4, 675-680 (2014). Reviewer: Zdeněk Dušek (Hradec Kralove) MSC: 53C20 53C25 53C21 PDF BibTeX XML Cite \textit{S. Matsuo}, Math. Ann. 360, No. 3--4, 675--680 (2014; Zbl 1307.53030) Full Text: DOI arXiv Link OpenURL
Kang, Yutae; Kim, Jongsu Smooth scalar curvature decrease of big scale on a sphere. (English) Zbl 1303.53048 Differ. Geom. Appl. 37, 120-132 (2014). MSC: 53C20 PDF BibTeX XML Cite \textit{Y. Kang} and \textit{J. Kim}, Differ. Geom. Appl. 37, 120--132 (2014; Zbl 1303.53048) Full Text: DOI OpenURL