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
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
Li, Dehe; Yin, Jiabin Paracontact metric \((\kappa, \mu)\)-manifold satisfying the Miao-Tam equation. (English) Zbl 1481.53040 Adv. Math. Phys. 2021, Article ID 6687223, 5 p. (2021). MSC: 53C15 PDF BibTeX XML Cite \textit{D. Li} and \textit{J. Yin}, Adv. Math. Phys. 2021, Article ID 6687223, 5 p. (2021; Zbl 1481.53040) Full Text: DOI OpenURL
Patra, Dhriti Sundar; Ghosh, Amalendu On Einstein-type contact metric manifolds. (English) Zbl 1477.53081 J. Geom. Phys. 169, Article ID 104342, 10 p. (2021). MSC: 53C25 53D10 53C15 PDF BibTeX XML Cite \textit{D. S. Patra} and \textit{A. Ghosh}, J. Geom. Phys. 169, Article ID 104342, 10 p. (2021; Zbl 1477.53081) Full Text: DOI OpenURL
Baltazar, H.; Da Silva, A. On static manifolds and related critical spaces with cyclic parallel Ricci tensor. (English) Zbl 1479.53054 Adv. Geom. 21, No. 3, 407-416 (2021). Reviewer: Georges Habib (Beirut) MSC: 53C24 53C25 53C65 PDF BibTeX XML Cite \textit{H. Baltazar} and \textit{A. Da Silva}, Adv. Geom. 21, No. 3, 407--416 (2021; Zbl 1479.53054) Full Text: DOI arXiv OpenURL
Mandal, Tarak Miao-Tam equation on normal almost contact metric manifolds. (English) Zbl 1482.53039 Differ. Geom. Dyn. Syst. 23, 135-143 (2021). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C15 53D25 PDF BibTeX XML Cite \textit{T. Mandal}, Differ. Geom. Dyn. Syst. 23, 135--143 (2021; Zbl 1482.53039) Full Text: Link 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
Baltazar, H.; Barros, A.; Batista, R.; Viana, E. On static manifolds and related critical spaces with zero radial Weyl curvature. (English) Zbl 1443.53020 Monatsh. Math. 191, No. 3, 449-463 (2020). Reviewer: Gabjin Yun (Yongin) MSC: 53C21 53C24 53C25 58E11 PDF BibTeX XML Cite \textit{H. Baltazar} et al., Monatsh. Math. 191, No. 3, 449--463 (2020; Zbl 1443.53020) Full Text: DOI 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
Sheng, Weimin; Wang, Lisheng Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary. (English) Zbl 1422.58003 Geom. Dedicata 201, 243-251 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58E11 53C24 53C25 58D17 PDF BibTeX XML Cite \textit{W. Sheng} and \textit{L. Wang}, Geom. Dedicata 201, 243--251 (2019; Zbl 1422.58003) Full Text: DOI 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
Wang, Yaning; Wang, Wenjie An Einstein-like metric on almost Kenmotsu manifolds. (English) Zbl 07453928 Filomat 31, No. 15, 4695-4702 (2017). MSC: 53D15 53C25 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{W. Wang}, Filomat 31, No. 15, 4695--4702 (2017; Zbl 07453928) 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
Wu, Peng A Weitzenböck formula for canonical metrics on four-manifolds. (English) Zbl 1352.53041 Trans. Am. Math. Soc. 369, No. 2, 1079-1096 (2017). MSC: 53C25 53C24 PDF BibTeX XML Cite \textit{P. Wu}, Trans. Am. Math. Soc. 369, No. 2, 1079--1096 (2017; Zbl 1352.53041) Full Text: DOI arXiv OpenURL
Patra, Dhriti Sundar; Ghosh, Amalendu Certain contact metrics satisfying the Miao-Tam critical condition. (English) Zbl 1357.53038 Ann. Pol. Math. 116, No. 3, 263-271 (2016). MSC: 53C15 53C21 53D10 58E11 PDF BibTeX XML Cite \textit{D. S. Patra} and \textit{A. Ghosh}, Ann. Pol. Math. 116, No. 3, 263--271 (2016; Zbl 1357.53038) Full Text: DOI 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
Corvino, Justin; Eichmair, Michael; Miao, Pengzi Deformation of scalar curvature and volume. (English) Zbl 1278.53041 Math. Ann. 357, No. 2, 551-584 (2013). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C21 58E11 PDF BibTeX XML Cite \textit{J. Corvino} et al., Math. Ann. 357, No. 2, 551--584 (2013; Zbl 1278.53041) Full Text: DOI arXiv OpenURL
Case, Jeffrey S. Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities. (English) Zbl 1275.49081 Calc. Var. Partial Differ. Equ. 48, No. 3-4, 507-526 (2013). MSC: 49Q20 53C21 PDF BibTeX XML Cite \textit{J. S. Case}, Calc. Var. Partial Differ. Equ. 48, No. 3--4, 507--526 (2013; Zbl 1275.49081) Full Text: DOI arXiv OpenURL
Case, Jeffrey S. Smooth metric measure spaces, quasi-Einstein metrics, and tractors. (English) Zbl 1263.53038 Cent. Eur. J. Math. 10, No. 5, 1733-1762 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 53C25 53A30 53C07 PDF BibTeX XML Cite \textit{J. S. Case}, Cent. Eur. J. Math. 10, No. 5, 1733--1762 (2012; Zbl 1263.53038) Full Text: DOI arXiv OpenURL