Gao, Ya; Mao, Jing; Sun, Shiyun \(\mathcal{M}\)-convex hypersurfaces with prescribed shifted Gaussian curvature in warped product manifolds. (English) Zbl 07783593 Result. Math. 79, No. 1, Paper No. 23, 20 p. (2024). MSC: 35J96 53A07 35A01 PDFBibTeX XMLCite \textit{Y. Gao} et al., Result. Math. 79, No. 1, Paper No. 23, 20 p. (2024; Zbl 07783593) Full Text: DOI
Yang, Fengrui Prescribed curvature measure problem in hyperbolic space. (English) Zbl 07782040 Commun. Pure Appl. Math. 77, No. 1, 863-898 (2024). MSC: 53A10 35J96 PDFBibTeX XMLCite \textit{F. Yang}, Commun. Pure Appl. Math. 77, No. 1, 863--898 (2024; Zbl 07782040) Full Text: DOI arXiv
Bourni, Theodora; Langford, Mat Classification of convex ancient free-boundary curve-shortening flows in the disc. (English) Zbl 07785261 Anal. PDE 16, No. 9, 2225-2240 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 53E10 PDFBibTeX XMLCite \textit{T. Bourni} and \textit{M. Langford}, Anal. PDE 16, No. 9, 2225--2240 (2023; Zbl 07785261) Full Text: DOI arXiv
Serre, Denis Divergence-free tensors and cofactors in geometry and fluid dynamics. (English) Zbl 07773775 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 461-477 (2023). Reviewer: Jacques Faraut (Paris) MSC: 15A69 15B57 15B48 15A15 52A39 53A07 53A10 53A45 76N15 PDFBibTeX XMLCite \textit{D. Serre}, Lect. Notes Math. 2313, 461--477 (2023; Zbl 07773775) Full Text: DOI
Li, Haizhong; Wan, Yao The Christoffel problem in the hyperbolic plane. (English) Zbl 1527.34069 Adv. Appl. Math. 150, Article ID 102557, 17 p. (2023). Reviewer: Petr Tomiczek (Plzeň) MSC: 34C25 53C42 47J30 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Wan}, Adv. Appl. Math. 150, Article ID 102557, 17 p. (2023; Zbl 1527.34069) Full Text: DOI
Hu, Yingxiang; Li, Haizhong Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms. (English) Zbl 1516.53014 Adv. Math. 413, Article ID 108826, 31 p. (2023). Reviewer: Viktor Ohanyan (Erevan) MSC: 53A55 53C21 53C24 53C65 52A20 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{H. Li}, Adv. Math. 413, Article ID 108826, 31 p. (2023; Zbl 1516.53014) Full Text: DOI arXiv
Aydin, Muhittin Evren; López, Rafael Translators of flows by powers of the Gauss curvature. (English) Zbl 1517.53015 Ann. Mat. Pura Appl. (4) 202, No. 1, 235-251 (2023). Reviewer: Yunlong Yang (Dalian) MSC: 53A17 53A15 53C42 PDFBibTeX XMLCite \textit{M. E. Aydin} and \textit{R. López}, Ann. Mat. Pura Appl. (4) 202, No. 1, 235--251 (2023; Zbl 1517.53015) Full Text: DOI arXiv
Ding, Shanwei; Li, Guanghan A class of inverse curvature flows and \(L^p\) dual Christoffel-Minkowski problem. (English) Zbl 1512.53089 Trans. Am. Math. Soc. 376, No. 1, 697-752 (2023). Reviewer: Emil Saucan (Karmiel) MSC: 53E10 37E35 53A07 PDFBibTeX XMLCite \textit{S. Ding} and \textit{G. Li}, Trans. Am. Math. Soc. 376, No. 1, 697--752 (2023; Zbl 1512.53089) Full Text: DOI arXiv
Li, Boya; Liu, Yannan Deforming a convex hypersurface by anisotropic inverse Gaussian curvature flows. (Chinese. English summary) Zbl 07800960 Acta Math. Appl. Sin. 45, No. 2, 238-253 (2022). MSC: 35J96 35J75 53A15 53A07 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Liu}, Acta Math. Appl. Sin. 45, No. 2, 238--253 (2022; Zbl 07800960) Full Text: Link
Zhao, C. J. The \(L_p\)-mixed geominimal surface areas. (English) Zbl 1504.52005 Math. Notes 112, No. 6, 1044-1058 (2022). MSC: 52A39 53A05 PDFBibTeX XMLCite \textit{C. J. Zhao}, Math. Notes 112, No. 6, 1044--1058 (2022; Zbl 1504.52005) Full Text: DOI
Chen, Bin; Cui, Jingshi; Zhao, Peibiao Inverse Gauss curvature flows and Orlicz Minkowski problem. (English) Zbl 1510.53111 Anal. Geom. Metr. Spaces 10, 330-343 (2022). Reviewer: Zsolt Lángi (Budapest) MSC: 53E99 52A20 35K96 PDFBibTeX XMLCite \textit{B. Chen} et al., Anal. Geom. Metr. Spaces 10, 330--343 (2022; Zbl 1510.53111) Full Text: DOI
Chen, Shibing; Feng, Yibin; Liu, Weiru Uniqueness of solutions to the logarithmic Minkowski problem in \(\mathbb{R}^3\). (English) Zbl 1509.52006 Adv. Math. 411, Part A, Article ID 108782, 18 p. (2022). Reviewer: Ana Pereira do Vale (Braga) MSC: 52A38 52A15 35J96 53A40 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Math. 411, Part A, Article ID 108782, 18 p. (2022; Zbl 1509.52006) Full Text: DOI arXiv
Chow, Bennett Li-Yau inequalities in geometric analysis. (English) Zbl 1500.53001 J. Geom. Anal. 32, No. 11, Paper No. 271, 10 p. (2022). MSC: 53-02 53E20 53E10 58J35 58J05 PDFBibTeX XMLCite \textit{B. Chow}, J. Geom. Anal. 32, No. 11, Paper No. 271, 10 p. (2022; Zbl 1500.53001) Full Text: DOI
Lynch, Stephen Uniqueness of convex ancient solutions to hypersurface flows. (English) Zbl 1497.53141 J. Reine Angew. Math. 788, 189-217 (2022). MSC: 53E10 53A07 52A99 PDFBibTeX XMLCite \textit{S. Lynch}, J. Reine Angew. Math. 788, 189--217 (2022; Zbl 1497.53141) Full Text: DOI arXiv
Li, Qi-Rui; Sheng, Weimin; Ye, Deping; Yi, Caihong A flow approach to the Musielak-Orlicz-Gauss image problem. (English) Zbl 1490.35220 Adv. Math. 403, Article ID 108379, 40 p. (2022). MSC: 35K96 53C21 52A30 52A39 52A40 PDFBibTeX XMLCite \textit{Q.-R. Li} et al., Adv. Math. 403, Article ID 108379, 40 p. (2022; Zbl 1490.35220) Full Text: DOI arXiv
Li, Haizhong; Xu, Botong; Zhang, Ruijia Asymptotic convergence for a class of anisotropic curvature flows. (English) Zbl 1500.53094 J. Funct. Anal. 282, No. 12, Article ID 109460, 34 p. (2022). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 53E10 35K55 PDFBibTeX XMLCite \textit{H. Li} et al., J. Funct. Anal. 282, No. 12, Article ID 109460, 34 p. (2022; Zbl 1500.53094) Full Text: DOI arXiv
Chen, Li; Tu, Qiang; Wu, Di; Xiang, Ni Anisotropic Gauss curvature flows and their associated dual Orlicz-Minkowski problems. (English) Zbl 1485.35252 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 1, 148-162 (2022). MSC: 35J96 53C45 PDFBibTeX XMLCite \textit{L. Chen} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 1, 148--162 (2022; Zbl 1485.35252) Full Text: DOI
Wu, Di; Tu, Qiang; Xie, Siyuan A class of Gauss curvature flows and its applications to an even dual Orlicz-Minkowski type problem. (English) Zbl 1485.35255 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112798, 16 p. (2022). MSC: 35J96 52A20 53C45 35A01 PDFBibTeX XMLCite \textit{D. Wu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112798, 16 p. (2022; Zbl 1485.35255) Full Text: DOI
Choi, Beomjun; Choi, Kyeongsu; Daskalopoulos, Panagiota Convergence of Gauss curvature flows to translating solitons. (English) Zbl 1490.53109 Adv. Math. 397, Article ID 108207, 30 p. (2022). MSC: 53E10 53A07 35K55 PDFBibTeX XMLCite \textit{B. Choi} et al., Adv. Math. 397, Article ID 108207, 30 p. (2022; Zbl 1490.53109) Full Text: DOI arXiv
Ding, Shanwei; Li, Guanghan A class of curvature flows expanded by support function and curvature function in the Euclidean space and hyperbolic space. (English) Zbl 1493.53112 J. Funct. Anal. 282, No. 3, Article ID 109305, 38 p. (2022). Reviewer: Yakov Berchenko-Kogan (University Park) MSC: 53E10 35K55 PDFBibTeX XMLCite \textit{S. Ding} and \textit{G. Li}, J. Funct. Anal. 282, No. 3, Article ID 109305, 38 p. (2022; Zbl 1493.53112) Full Text: DOI arXiv
Kröner, Heiko Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions. (English) Zbl 1490.53113 J. Funct. Anal. 281, No. 5, Article ID 109060, 43 p. (2021). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 53E99 53C22 35K55 35B40 PDFBibTeX XMLCite \textit{H. Kröner}, J. Funct. Anal. 281, No. 5, Article ID 109060, 43 p. (2021; Zbl 1490.53113) Full Text: DOI arXiv
Fehér, Eszter; Domokos, Gábor; Krauskopf, Bernd Tracking the critical points of curves evolving under planar curvature flows. (English) Zbl 1483.35280 J. Comput. Dyn. 8, No. 4, 447-494 (2021). MSC: 35Q86 53A04 65M70 35B33 PDFBibTeX XMLCite \textit{E. Fehér} et al., J. Comput. Dyn. 8, No. 4, 447--494 (2021; Zbl 1483.35280) Full Text: DOI arXiv
Chen, Li; Shang, Agen; Tu, Qiang A class of prescribed Weingarten curvature equations in Euclidean space. (English) Zbl 1479.35503 Commun. Partial Differ. Equations 46, No. 7, 1326-1343 (2021). MSC: 35J96 52A39 53A05 35A01 PDFBibTeX XMLCite \textit{L. Chen} et al., Commun. Partial Differ. Equations 46, No. 7, 1326--1343 (2021; Zbl 1479.35503) Full Text: DOI arXiv
Choi, Kyeongsu; Daskalopoulos, Panagiota; Lee, Ki-Ahm Translating solutions to the Gauss curvature flow with flat sides. (English) Zbl 1514.53122 Anal. PDE 14, No. 2, 595-616 (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 53E10 53A05 35J96 PDFBibTeX XMLCite \textit{K. Choi} et al., Anal. PDE 14, No. 2, 595--616 (2021; Zbl 1514.53122) Full Text: DOI arXiv
Tu, Qiang A class of prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in \(\mathbb{H}^{n+1}\). (English) Zbl 1473.35330 Discrete Contin. Dyn. Syst. 41, No. 11, 5397-5407 (2021). MSC: 35J96 53C45 53A05 35B45 PDFBibTeX XMLCite \textit{Q. Tu}, Discrete Contin. Dyn. Syst. 41, No. 11, 5397--5407 (2021; Zbl 1473.35330) Full Text: DOI
Lee, Ki-Ahm; Lee, Taehun Gauss curvature flow with an obstacle. (English) Zbl 1472.53107 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 166, 23 p. (2021). MSC: 53E99 35R35 35K96 35K65 PDFBibTeX XMLCite \textit{K.-A. Lee} and \textit{T. Lee}, Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 166, 23 p. (2021; Zbl 1472.53107) Full Text: DOI
Chen, Li; Tu, Qiang; Xiao, Kang Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in \(\pmb{\mathbb{H}}^{n+1}\). (English) Zbl 1482.35103 J. Geom. Anal. 31, No. 6, 6349-6364 (2021). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 52A39 53A05 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Geom. Anal. 31, No. 6, 6349--6364 (2021; Zbl 1482.35103) Full Text: DOI arXiv
Monobe, H.; Ninomiya, H. Compact traveling waves for anisotropic curvature flows with driving force. (English) Zbl 1459.35073 Trans. Am. Math. Soc. 374, No. 4, 2447-2477 (2021). MSC: 35C07 53E10 PDFBibTeX XMLCite \textit{H. Monobe} and \textit{H. Ninomiya}, Trans. Am. Math. Soc. 374, No. 4, 2447--2477 (2021; Zbl 1459.35073) Full Text: DOI
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian Parabolic approaches to curvature equations. (English) Zbl 1458.53061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112174, 25 p. (2021). MSC: 53C40 53C50 53C20 53E99 PDFBibTeX XMLCite \textit{P. Bryan} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112174, 25 p. (2021; Zbl 1458.53061) Full Text: DOI arXiv
Ding, Shanwei; Li, Guanghan A class of curvature flows expanded by support function and curvature function. (English) Zbl 1459.53081 Proc. Am. Math. Soc. 148, No. 12, 5331-5341 (2020). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 53E10 53E99 PDFBibTeX XMLCite \textit{S. Ding} and \textit{G. Li}, Proc. Am. Math. Soc. 148, No. 12, 5331--5341 (2020; Zbl 1459.53081) Full Text: DOI arXiv
Liu, Yannan; Lu, Jian A flow method for the dual Orlicz-Minkowski problem. (English) Zbl 1458.35214 Trans. Am. Math. Soc. 373, No. 8, 5833-5853 (2020). Reviewer: Xingbin Pan (Shanghai) MSC: 35J96 52A20 53A07 53E99 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Lu}, Trans. Am. Math. Soc. 373, No. 8, 5833--5853 (2020; Zbl 1458.35214) Full Text: DOI arXiv
Sheng, Weimin; Yi, Caihong A class of anisotropic expanding curvature flows. (English) Zbl 1433.53118 Discrete Contin. Dyn. Syst. 40, No. 4, 2017-2035 (2020). MSC: 53E10 35K96 53A07 35K55 PDFBibTeX XMLCite \textit{W. Sheng} and \textit{C. Yi}, Discrete Contin. Dyn. Syst. 40, No. 4, 2017--2035 (2020; Zbl 1433.53118) Full Text: DOI arXiv
Yuan, Lixia Connection between translating solutions for a generalized Gauss curvature flow in a cylinder. (English) Zbl 1439.53082 Appl. Math. Lett. 105, Article ID 106288, 7 p. (2020). MSC: 53E10 35K93 PDFBibTeX XMLCite \textit{L. Yuan}, Appl. Math. Lett. 105, Article ID 106288, 7 p. (2020; Zbl 1439.53082) Full Text: DOI
Li, Qi-Rui; Sheng, Weimin; Wang, Xu-Jia Asymptotic convergence for a class of fully nonlinear curvature flows. (English) Zbl 1434.53096 J. Geom. Anal. 30, No. 1, 834-860 (2020). MSC: 53E10 35K55 PDFBibTeX XMLCite \textit{Q.-R. Li} et al., J. Geom. Anal. 30, No. 1, 834--860 (2020; Zbl 1434.53096) Full Text: DOI
Kang, Hyunsuk; Kim, Lami; Lee, Ki-Ahm Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature. (English) Zbl 1431.53012 J. Differ. Equations 268, No. 5, 2210-2245 (2020). MSC: 53A07 53C21 53E10 PDFBibTeX XMLCite \textit{H. Kang} et al., J. Differ. Equations 268, No. 5, 2210--2245 (2020; Zbl 1431.53012) Full Text: DOI arXiv
Choi, Kyeongsu; Daskalopoulos, Panagiota; Kim, Lami; Lee, Ki-Ahm The evolution of complete non-compact graphs by powers of Gauss curvature. (English) Zbl 1440.53104 J. Reine Angew. Math. 757, 131-158 (2019). Reviewer: Yong Wei (Hefei) MSC: 53E10 53A07 35K55 PDFBibTeX XMLCite \textit{K. Choi} et al., J. Reine Angew. Math. 757, 131--158 (2019; Zbl 1440.53104) Full Text: DOI arXiv
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen A flow of conformally balanced metrics with Kähler fixed points. (English) Zbl 1433.53100 Math. Ann. 374, No. 3-4, 2005-2040 (2019). Reviewer: Nicolina Istrati (Tel Aviv) MSC: 53C55 35K55 53E30 PDFBibTeX XMLCite \textit{D. H. Phong} et al., Math. Ann. 374, No. 3--4, 2005--2040 (2019; Zbl 1433.53100) Full Text: DOI arXiv
Risa, Susanna; Sinestrari, Carlo Ancient solutions of geometric flows with curvature pinching. (English) Zbl 1416.53065 J. Geom. Anal. 29, No. 2, 1206-1232 (2019). MSC: 53C44 35K55 PDFBibTeX XMLCite \textit{S. Risa} and \textit{C. Sinestrari}, J. Geom. Anal. 29, No. 2, 1206--1232 (2019; Zbl 1416.53065) Full Text: DOI arXiv
Domokos, Gábor; Lángi, Zsolt The isoperimetric quotient of a convex body decreases monotonically under the eikonal abrasion model. (English) Zbl 1412.35335 Mathematika 65, No. 1, 119-129 (2019). MSC: 35Q85 35Q86 52A39 53A04 51M25 PDFBibTeX XMLCite \textit{G. Domokos} and \textit{Z. Lángi}, Mathematika 65, No. 1, 119--129 (2019; Zbl 1412.35335) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Variational discretization of axisymmetric curvature flows. (English) Zbl 1419.65051 Numer. Math. 141, No. 3, 791-837 (2019). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M12 53C44 35K55 65H10 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., Numer. Math. 141, No. 3, 791--837 (2019; Zbl 1419.65051) Full Text: DOI arXiv
Ivaki, Mohammad N. Deforming a hypersurface by principal radii of curvature and support function. (English) Zbl 1403.53057 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 1, 18 p. (2019). MSC: 53C44 52A05 PDFBibTeX XMLCite \textit{M. N. Ivaki}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 1, 18 p. (2019; Zbl 1403.53057) Full Text: DOI arXiv
Gao, Shanze; Li, Haizhong; Ma, Hui Uniqueness of closed self-similar solutions to \(\sigma_k^\alpha\)-curvature flow. (English) Zbl 1409.53057 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 5, Paper No. 45, 26 p. (2018). MSC: 53C44 53A07 PDFBibTeX XMLCite \textit{S. Gao} et al., NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 5, Paper No. 45, 26 p. (2018; Zbl 1409.53057) Full Text: DOI arXiv
Chen, Shibing; Li, Qi-Rui On the planar dual Minkowski problem. (English) Zbl 1397.52002 Adv. Math. 333, 87-117 (2018). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A10 52A39 53A04 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Q.-R. Li}, Adv. Math. 333, 87--117 (2018; Zbl 1397.52002) Full Text: DOI
Guan, Pengfei; Xia, Chao \(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\). (English) Zbl 1395.52005 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 69, 23 p. (2018). Reviewer: Gabriela Cristescu (Arad) MSC: 52A20 52A39 53C45 PDFBibTeX XMLCite \textit{P. Guan} and \textit{C. Xia}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 69, 23 p. (2018; Zbl 1395.52005) Full Text: DOI arXiv
Chen, Daguang; Li, Haizhong; Wang, Zhizhang Starshaped compact hypersurfaces with prescribed Weingarten curvature in warped product manifolds. (English) Zbl 1395.53069 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 42, 26 p. (2018). Reviewer: Atsushi Fujioka (Osaka) MSC: 53C42 58J60 PDFBibTeX XMLCite \textit{D. Chen} et al., Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 42, 26 p. (2018; Zbl 1395.53069) Full Text: DOI arXiv
Guilfoyle, Brendan; Klingenberg, Wilhelm Parabolic classical curvature flows. (English) Zbl 1404.53002 J. Aust. Math. Soc. 104, No. 3, 338-357 (2018). Reviewer: James P. Howard II (Columbia) MSC: 53A05 35K40 PDFBibTeX XMLCite \textit{B. Guilfoyle} and \textit{W. Klingenberg}, J. Aust. Math. Soc. 104, No. 3, 338--357 (2018; Zbl 1404.53002) Full Text: DOI arXiv
Guan, Pengfei; Ni, Lei Entropy and a convergence theorem for Gauss curvature flow in high dimension. (English) Zbl 1386.35180 J. Eur. Math. Soc. (JEMS) 19, No. 12, 3735-3761 (2017). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35K55 35B65 53A05 PDFBibTeX XMLCite \textit{P. Guan} and \textit{L. Ni}, J. Eur. Math. Soc. (JEMS) 19, No. 12, 3735--3761 (2017; Zbl 1386.35180) Full Text: DOI arXiv
Solanes, Gil Contact measures in isotropic spaces. (English) Zbl 1370.53054 Adv. Math. 317, 645-664 (2017). MSC: 53C65 28A75 PDFBibTeX XMLCite \textit{G. Solanes}, Adv. Math. 317, 645--664 (2017; Zbl 1370.53054) Full Text: DOI arXiv
Ivaki, Mohammad N. Deforming a convex hypersurface with low entropy by its Gauss curvature. (English) Zbl 1369.53048 J. Geom. Anal. 27, No. 2, 1286-1294 (2017). MSC: 53C44 52A05 35K55 PDFBibTeX XMLCite \textit{M. N. Ivaki}, J. Geom. Anal. 27, No. 2, 1286--1294 (2017; Zbl 1369.53048) Full Text: DOI arXiv
Domokos, Gábor; Holmes, Philip; Lángi, Zsolt A genealogy of convex solids via local and global bifurcations of gradient vector fields. (English) Zbl 1359.52005 J. Nonlinear Sci. 26, No. 6, 1789-1815 (2016). MSC: 52A15 53A05 53Z05 PDFBibTeX XMLCite \textit{G. Domokos} et al., J. Nonlinear Sci. 26, No. 6, 1789--1815 (2016; Zbl 1359.52005) Full Text: DOI arXiv
Andrews, Ben; Guan, Pengfei; Ni, Lei Flow by powers of the Gauss curvature. (English) Zbl 1401.35159 Adv. Math. 299, 174-201 (2016). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K55 35B65 53A05 PDFBibTeX XMLCite \textit{B. Andrews} et al., Adv. Math. 299, 174--201 (2016; Zbl 1401.35159) Full Text: DOI arXiv
Ildefonso Díaz, Jesús; Díaz, Gregorio Parabolic Monge-Ampère equations giving rise to a free boundary: the worn stone model. (English) Zbl 1381.35083 Discrete Contin. Dyn. Syst. 2015, Suppl., 369-378 (2015). MSC: 35K55 35D40 35J60 35J96 35K96 35R35 78A25 53C35 PDFBibTeX XMLCite \textit{J. Ildefonso Díaz} and \textit{G. Díaz}, Discrete Contin. Dyn. Syst. 2015, 369--378 (2015; Zbl 1381.35083) Full Text: DOI
Huang, Yong; Liu, Jiakun; Xu, Lu On the uniqueness of \(L_p\)-Minkowski problems: the constant \(p\)-curvature case in \(\mathbb{R}^3\). (English) Zbl 1329.52003 Adv. Math. 281, 906-927 (2015). Reviewer: Igor G. Nikolaev (Urbana) MSC: 52A20 35J96 53A05 PDFBibTeX XMLCite \textit{Y. Huang} et al., Adv. Math. 281, 906--927 (2015; Zbl 1329.52003) Full Text: DOI arXiv
Domokos, G. Monotonicity of spatial critical points evolving under curvature-driven flows. (English) Zbl 1315.53069 J. Nonlinear Sci. 25, No. 2, 247-275 (2015). MSC: 53C44 35B38 53C80 58J90 PDFBibTeX XMLCite \textit{G. Domokos}, J. Nonlinear Sci. 25, No. 2, 247--275 (2015; Zbl 1315.53069) Full Text: DOI arXiv
Wei, Bo; Wang, Weidong; Lu, Fenghong Inequalities for radial Blaschke-Minkowski homomorphisms. (English) Zbl 1333.52011 Ann. Pol. Math. 113, No. 3, 243-253 (2015). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A40 52A20 53A15 PDFBibTeX XMLCite \textit{B. Wei} et al., Ann. Pol. Math. 113, No. 3, 243--253 (2015; Zbl 1333.52011) Full Text: DOI
Díaz, Gregorio; Ildefonso Díaz, Jesús On the free boundary associated with the stationary Monge-Ampère operator on the set of non strictly convex functions. (English) Zbl 1305.35085 Discrete Contin. Dyn. Syst. 35, No. 4, 1447-1468 (2015). MSC: 35J96 35K96 35R35 53C35 PDFBibTeX XMLCite \textit{G. Díaz} and \textit{J. Ildefonso Díaz}, Discrete Contin. Dyn. Syst. 35, No. 4, 1447--1468 (2015; Zbl 1305.35085) Full Text: DOI
Huang, Qingzhong; He, Binwu An asymmetric Orlicz centroid inequality for probability measures. (English) Zbl 1306.52003 Sci. China, Math. 57, No. 6, 1193-1202 (2014). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A20 52A40 53C65 28A75 60D05 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{B. He}, Sci. China, Math. 57, No. 6, 1193--1202 (2014; Zbl 1306.52003) Full Text: DOI
Zhu, Baocheng; Zhou, Jiazu; Xu, Wenxue Dual Orlicz-Brunn-Minkowski theory. (English) Zbl 1307.52004 Adv. Math. 264, 700-725 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 52A40 53A15 PDFBibTeX XMLCite \textit{B. Zhu} et al., Adv. Math. 264, 700--725 (2014; Zbl 1307.52004) Full Text: DOI
Berestovskiĭ, Valeriĭ Nikolaevich; Nikonorov, Yuriĭ Gennadievich Generalized normal homogeneous Riemannian metrics on spheres and projective spaces. (English) Zbl 1410.53054 Ann. Global Anal. Geom. 45, No. 3, 167-196 (2014). MSC: 53C35 53C20 53C25 PDFBibTeX XMLCite \textit{V. N. Berestovskiĭ} and \textit{Y. G. Nikonorov}, Ann. Global Anal. Geom. 45, No. 3, 167--196 (2014; Zbl 1410.53054) Full Text: DOI arXiv
Kolesnikov, Alexander V. Weak regularity of Gauss mass transport. (English) Zbl 1286.35059 Bull. Sci. Math. 138, No. 2, 165-198 (2014). MSC: 35B65 35K96 35B50 35B45 53C44 35K93 PDFBibTeX XMLCite \textit{A. V. Kolesnikov}, Bull. Sci. Math. 138, No. 2, 165--198 (2014; Zbl 1286.35059) Full Text: DOI arXiv
Guan, Pengfei Curvature measures, isoperimetric type inequalities and fully nonlinear PDEs. (English) Zbl 1288.35002 Gutiérrez, Cristian E. (ed.) et al., Fully nonlinear PDEs in real and complex geometry and optics. Lecture notes of the CIME summer school, Cetraro, Italy, July 9–13, 2012. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-00941-4/pbk; 978-3-319-00942-1/ebook). Lecture Notes in Mathematics 2087. CIME Foundation Subseries, 47-94 (2014). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35-02 35B45 53C44 53C21 35K55 PDFBibTeX XMLCite \textit{P. Guan}, Lect. Notes Math. 2087, 47--94 (2014; Zbl 1288.35002) Full Text: DOI
Lee, Hojoo Isometric deformations of the \({\mathcal K}^{\frac{1}{4}}\)-flow translators in \(\mathbb{R}^3\) with helicoidal symmetry. (English. French summary) Zbl 1275.53060 C. R., Math., Acad. Sci. Paris 351, No. 11-12, 477-482 (2013). MSC: 53C44 35K55 35J96 PDFBibTeX XMLCite \textit{H. Lee}, C. R., Math., Acad. Sci. Paris 351, No. 11--12, 477--482 (2013; Zbl 1275.53060) Full Text: DOI arXiv Link
Li, Qi-Rui; Sheng, Weimin Closed hypersurfaces with prescribed Weingarten curvature in Riemannian manifolds. (English) Zbl 1285.53047 Calc. Var. Partial Differ. Equ. 48, No. 1-2, 41-66 (2013). Reviewer: Dorin Andrica (Riyadh) MSC: 53C42 35J60 PDFBibTeX XMLCite \textit{Q.-R. Li} and \textit{W. Sheng}, Calc. Var. Partial Differ. Equ. 48, No. 1--2, 41--66 (2013; Zbl 1285.53047) Full Text: DOI
Hug, Daniel; Türk, Ines; Weil, Wolfgang Flag measures for convex bodies. (English) Zbl 1277.52003 Ludwig, Monika (ed.) et al., Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4614-6405-1/hbk; 978-1-4614-6406-8/ebook). Fields Institute Communications 68, 145-187 (2013). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A22 52A39 53C65 14M15 PDFBibTeX XMLCite \textit{D. Hug} et al., Fields Inst. Commun. 68, 145--187 (2013; Zbl 1277.52003) Full Text: DOI
Wang, Wei \(L_p\) Brunn-Minkowski type inequalities for Blaschke-Minkowski homomorphisms. (English) Zbl 1280.52007 Geom. Dedicata 164, 273-285 (2013). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 52A40 53A15 PDFBibTeX XMLCite \textit{W. Wang}, Geom. Dedicata 164, 273--285 (2013; Zbl 1280.52007) Full Text: DOI
Guan, Pengfei; Li, Junfang; Li, Yanyan Hypersurfaces of prescribed curvature measure. (English) Zbl 1254.53073 Duke Math. J. 161, No. 10, 1927-1942 (2012). Reviewer: Themistocles M. Rassias (Athens) MSC: 53C23 35J60 53C42 PDFBibTeX XMLCite \textit{P. Guan} et al., Duke Math. J. 161, No. 10, 1927--1942 (2012; Zbl 1254.53073) Full Text: DOI arXiv Euclid
Ju, Hongjie; Bao, Jiguang; Jian, Huaiyu Existence for translating solutions of Gauss curvature flow on exterior domains. (English) Zbl 1242.35090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3629-3640 (2012). MSC: 35D40 53C44 35K65 35B40 PDFBibTeX XMLCite \textit{H. Ju} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 8, 3629--3640 (2012; Zbl 1242.35090) Full Text: DOI
Auneau, Jérémy; Rataj, Jan; Jensen, Eva B. Vedel Closed form of the rotational Crofton formula. (English) Zbl 1235.60010 Math. Nachr. 285, No. 2-3, 164-180 (2012). MSC: 60D05 53C65 52A22 PDFBibTeX XMLCite \textit{J. Auneau} et al., Math. Nachr. 285, No. 2--3, 164--180 (2012; Zbl 1235.60010) Full Text: DOI
Xiong, Jingang; Bao, Jiguang On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations. (English) Zbl 1207.35185 J. Differ. Equations 250, No. 1, 367-385 (2011). MSC: 35K55 35B45 53C44 35A20 35B08 PDFBibTeX XMLCite \textit{J. Xiong} and \textit{J. Bao}, J. Differ. Equations 250, No. 1, 367--385 (2011; Zbl 1207.35185) Full Text: DOI
Li, Qi-Rui Surfaces expanding by the power of the Gauss curvature flow. (English) Zbl 1204.53053 Proc. Am. Math. Soc. 138, No. 11, 4089-4102 (2010). Reviewer: Stepan Agop Tersian (Rousse) MSC: 53C44 35K55 53A05 PDFBibTeX XMLCite \textit{Q.-R. Li}, Proc. Am. Math. Soc. 138, No. 11, 4089--4102 (2010; Zbl 1204.53053) Full Text: DOI
Sheng, Weimin; Wu, Chao On asymptotic behavior for singularities of the powers of mean curvature flow. (English) Zbl 1180.53066 Chin. Ann. Math., Ser. B 30, No. 1, 51-66 (2009). MSC: 53C44 35K55 PDFBibTeX XMLCite \textit{W. Sheng} and \textit{C. Wu}, Chin. Ann. Math., Ser. B 30, No. 1, 51--66 (2009; Zbl 1180.53066) Full Text: DOI
Jeffres, Thalia D. Gauss curvature flow on surfaces of revolution. (English) Zbl 1166.53316 Adv. Geom. 9, No. 2, 189-197 (2009). MSC: 53C44 53A05 PDFBibTeX XMLCite \textit{T. D. Jeffres}, Adv. Geom. 9, No. 2, 189--197 (2009; Zbl 1166.53316) Full Text: DOI
Azagra, D.; Jiménez-Sevilla, M.; Macià, F. Generalized motion of level sets by functions of their curvatures on Riemannian manifolds. (English) Zbl 1148.53048 Calc. Var. Partial Differ. Equ. 33, No. 2, 133-167 (2008). Reviewer: Witold Mozgawa (Lublin) MSC: 53C44 58J05 35D05 35J70 47J35 35G25 35J60 PDFBibTeX XMLCite \textit{D. Azagra} et al., Calc. Var. Partial Differ. Equ. 33, No. 2, 133--167 (2008; Zbl 1148.53048) Full Text: DOI arXiv
Chou, Kai-Seng; Wang, Xu-Jia The \(L_p\)-Minkowski problem and the Minkowski problem in centroaffine geometry. (English) Zbl 1245.52001 Adv. Math. 205, No. 1, 33-83 (2006). MSC: 52A38 35J20 35J60 52A21 52A39 52A40 53A15 PDFBibTeX XMLCite \textit{K.-S. Chou} and \textit{X.-J. Wang}, Adv. Math. 205, No. 1, 33--83 (2006; Zbl 1245.52001) Full Text: DOI
Ushijima, Takeo K.; Yagisita, Hiroki Convergence of a three-dimensional crystalline motion to Gauss curvature flow. (English) Zbl 1089.53046 Japan J. Ind. Appl. Math. 22, No. 3, 443-459 (2005). Reviewer: A. D. Osborne (Keele) MSC: 53C44 53C80 82D25 PDFBibTeX XMLCite \textit{T. K. Ushijima} and \textit{H. Yagisita}, Japan J. Ind. Appl. Math. 22, No. 3, 443--459 (2005; Zbl 1089.53046) Full Text: DOI
Stancu, Alina On the number of solutions to the discrete two-dimensional \(L_{0}\)-Minkowski problem. (English) Zbl 1054.52001 Adv. Math. 180, No. 1, 290-323 (2003). Reviewer: Carla Peri (Milano-Largo) MSC: 52A10 53C44 PDFBibTeX XMLCite \textit{A. Stancu}, Adv. Math. 180, No. 1, 290--323 (2003; Zbl 1054.52001) Full Text: DOI
Schnürer, Oliver C.; Smoczyk, Knut Neumann and second boundary value problems for Hessian and Gauß curvature flows. (English) Zbl 1032.53058 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 6, 1043-1073 (2003). Reviewer: John Urbas (Toronto, Ont.) MSC: 53C44 35K55 35K60 53C42 PDFBibTeX XMLCite \textit{O. C. Schnürer} and \textit{K. Smoczyk}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 6, 1043--1073 (2003; Zbl 1032.53058) Full Text: DOI Numdam EuDML
Martinez-Maure, Yves Hedgehogs and zonoids. (English) Zbl 0977.52010 Adv. Math. 158, No. 1, 1-17 (2001). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A30 53A05 PDFBibTeX XMLCite \textit{Y. Martinez-Maure}, Adv. Math. 158, No. 1, 1--17 (2001; Zbl 0977.52010) Full Text: DOI Link
Chou, Kai-Seng; Wang, Xu-Jia A logarithmic Gauss curvature flow and the Minkowski problem. (English) Zbl 1071.53534 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 6, 733-751 (2000). MSC: 53C44 35B40 35K15 35K55 PDFBibTeX XMLCite \textit{K.-S. Chou} and \textit{X.-J. Wang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 6, 733--751 (2000; Zbl 1071.53534) Full Text: DOI Numdam EuDML
Gutierrez, Carlos; Sánchez-Bringas, Federico On a Carathéodory’s conjecture on umbilics: representing ovaloids. (English) Zbl 0897.53003 Rend. Semin. Mat. Univ. Padova 98, 213-219 (1997). Reviewer: E.Heil (Darmstadt) MSC: 53A05 52A15 53C45 PDFBibTeX XMLCite \textit{C. Gutierrez} and \textit{F. Sánchez-Bringas}, Rend. Semin. Mat. Univ. Padova 98, 213--219 (1997; Zbl 0897.53003) Full Text: Numdam EuDML
Chai, Young Do A geometric inequality on mixed volumes. (English) Zbl 0873.52007 Ann. Global Anal. Geom. 14, No. 4, 373-380 (1996). Reviewer: W.Weil (Karlsruhe) MSC: 52A30 52A40 52A22 53C20 PDFBibTeX XMLCite \textit{Y. D. Chai}, Ann. Global Anal. Geom. 14, No. 4, 373--380 (1996; Zbl 0873.52007) Full Text: DOI
Gage, Michael E.; Li, Yi Evolving plane curves by curvature in relative geometries. II. (English) Zbl 0811.53033 Duke Math. J. 75, No. 1, 79-98 (1994). Reviewer: Hui Li Liu (Berlin) MSC: 53C20 53A15 53A04 PDFBibTeX XMLCite \textit{M. E. Gage} and \textit{Y. Li}, Duke Math. J. 75, No. 1, 79--98 (1994; Zbl 0811.53033) Full Text: DOI
Gage, Michael E. Positive centers and the Bonnesen inequality. (English) Zbl 0725.52003 Proc. Am. Math. Soc. 110, No. 4, 1041-1048 (1990). Reviewer: Vincenzo Dicuonzo (Roma) MSC: 52A10 52A38 52A40 53A04 PDFBibTeX XMLCite \textit{M. E. Gage}, Proc. Am. Math. Soc. 110, No. 4, 1041--1048 (1990; Zbl 0725.52003) Full Text: DOI
Schneider, Rolf Closed convex hypersurfaces with curvature restrictions. (English) Zbl 0659.53003 Proc. Am. Math. Soc. 103, No. 4, 1201-1204 (1988). Reviewer: W.Firey MSC: 53A07 52A20 53C45 PDFBibTeX XMLCite \textit{R. Schneider}, Proc. Am. Math. Soc. 103, No. 4, 1201--1204 (1988; Zbl 0659.53003) Full Text: DOI
Teufel, Eberhard Kinematische Berührformeln in Räumen konstanter Krümmung. (Kinematic contact formulas in spaces of constant curvature). (German) Zbl 0644.53064 Abh. Math. Semin. Univ. Hamb. 58, 255-266 (1988). Reviewer: E.Teufel MSC: 53C65 52A22 53A17 PDFBibTeX XMLCite \textit{E. Teufel}, Abh. Math. Semin. Univ. Hamb. 58, 255--266 (1988; Zbl 0644.53064) Full Text: DOI
Lutwak, Erwin Mixed affine surface area. (English) Zbl 0632.52005 J. Math. Anal. Appl. 125, 351-360 (1987). Reviewer: R.Schneider MSC: 52A20 52A40 53A15 PDFBibTeX XMLCite \textit{E. Lutwak}, J. Math. Anal. Appl. 125, 351--360 (1987; Zbl 0632.52005) Full Text: DOI
Lutwak, Erwin Volume of mixed bodies. (English) Zbl 0591.52016 Trans. Am. Math. Soc. 294, 487-500 (1986). Reviewer: L.Santaló MSC: 52A40 53A15 52A20 46B20 PDFBibTeX XMLCite \textit{E. Lutwak}, Trans. Am. Math. Soc. 294, 487--500 (1986; Zbl 0591.52016) Full Text: DOI
Bokowski, Jürgen; Heil, Erhard Integral representations of quermass-integrals and Bonnesen-Style inequalities. (English) Zbl 0576.52005 Arch. Math. 47, 79-89 (1986). MSC: 52A40 53A05 PDFBibTeX XMLCite \textit{J. Bokowski} and \textit{E. Heil}, Arch. Math. 47, 79--89 (1986; Zbl 0576.52005) Full Text: DOI
Treibergs, Andrejs E. Existence and convexity for hyperspheres of prescribed mean curvature. (English) Zbl 0599.53044 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 12, 225-241 (1985). Reviewer: F.Tomi MSC: 53C42 53C45 35J60 PDFBibTeX XMLCite \textit{A. E. Treibergs}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 12, 225--241 (1985; Zbl 0599.53044) Full Text: Numdam EuDML
Alexander, Ralph Lipschitzian mappings and total mean curvature of polyhedral surfaces. I. (English) Zbl 0563.52008 Trans. Am. Math. Soc. 288, 661-678 (1985). Reviewer: W.Kühnel MSC: 52A22 53C65 PDFBibTeX XMLCite \textit{R. Alexander}, Trans. Am. Math. Soc. 288, 661--678 (1985; Zbl 0563.52008) Full Text: DOI
Weil, Wolfgang Zufällige Berührung konvexer Körper durch q-dimensionale Ebenen. (German) Zbl 0462.52004 Result. Math. 4, 84-101 (1981). MSC: 52A20 52A22 53C65 60D05 PDFBibTeX XMLCite \textit{W. Weil}, Result. Math. 4, 84--101 (1981; Zbl 0462.52004) Full Text: DOI
Weil, Wolfgang Berührwahrscheinlichkeiten für konvexe Körper. (German) Zbl 0408.60014 Z. Wahrscheinlichkeitstheor. Verw. Geb. 48, 327-338 (1979). MSC: 60D05 52A20 52A22 53C65 PDFBibTeX XMLCite \textit{W. Weil}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 48, 327--338 (1979; Zbl 0408.60014) Full Text: DOI
Schneider, Rolf Eine kinematische Integralformel für konvexe Körper. (German) Zbl 0348.52010 Arch. Math. 28, 217-220 (1977). MSC: 52A20 53C65 PDFBibTeX XMLCite \textit{R. Schneider}, Arch. Math. 28, 217--220 (1977; Zbl 0348.52010) Full Text: DOI
Hadwiger, H. Eine Erweiterung der kinematischen Hauptformel der Integralgeometrie. (German) Zbl 0328.53058 Abh. Math. Semin. Univ. Hamb. 44(1975), 84-90 (1976). MSC: 53C65 52A20 PDFBibTeX XMLCite \textit{H. Hadwiger}, Abh. Math. Semin. Univ. Hamb. 44, 84--90 (1976; Zbl 0328.53058) Full Text: DOI
Schneider, Rolf Kinematische Berührmaße für konvexe Körper. (German) Zbl 0316.52001 Abh. Math. Semin. Univ. Hamb. 44(1975), 12-23 (1976). MSC: 52A20 53C65 PDFBibTeX XMLCite \textit{R. Schneider}, Abh. Math. Semin. Univ. Hamb. 44, 12--23 (1976; Zbl 0316.52001) Full Text: DOI
Heil, Erhard Ungleichungen für die Quermaßintegrale polarer Körper. (German) Zbl 0315.52015 Manuscr. Math. 19, 143-149 (1976). MSC: 52A40 53C65 PDFBibTeX XMLCite \textit{E. Heil}, Manuscr. Math. 19, 143--149 (1976; Zbl 0315.52015) Full Text: DOI EuDML
Weil, Wolfgang Kontinuierliche Linearkombination von Strecken. (German) Zbl 0309.52003 Math. Z. 148, 71-84 (1976). MSC: 52A20 53C65 26A51 PDFBibTeX XMLCite \textit{W. Weil}, Math. Z. 148, 71--84 (1976; Zbl 0309.52003) Full Text: DOI EuDML
Schneider, Rolf Kinematische Berührmaße für konvexe Körper und Integralrelationen für Oberflächenmaße. (German) Zbl 0303.52002 Math. Ann. 218, 253-267 (1975). MSC: 52A20 53C65 PDFBibTeX XMLCite \textit{R. Schneider}, Math. Ann. 218, 253--267 (1976; Zbl 0303.52002) Full Text: DOI EuDML
Firey, William J. An integral-geometric meaning for lower order area functions of convex bodies. (English) Zbl 0258.52003 Mathematika, Lond. 19, 205-212 (1972). MSC: 52A20 28A75 53C65 PDFBibTeX XMLCite \textit{W. J. Firey}, Mathematika 19, 205--212 (1972; Zbl 0258.52003) Full Text: DOI