1. Uniformization of metric surfaces: A survey
   2025/05/05 by Dimitrios Ntalampekos, Ntalampekos, Dimitrios · 2 citations
   Engineering · Mathematics · #30C65 #30F10 #30L10 #3D Shape Modeling and Analysis #51F99 #53A05 #53C23 #53C45 #Advanced Numerical Analysis Techniques #Complex Variables (math.CV) #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications #Metric Geometry (math.MG) #Primary 30C62 #Secondary 28A75
2. Flexible polyhedral nets in isotropic geometry
   2025/04/21 by Pirahmad, O., Pottmann, H., Skopenkov, M. · 2 citations
   #52C25 #53A05 #53A35 #53A70 #FOS: Mathematics #Metric Geometry (math.MG)
3. Characterization of quasispheres via smooth approximation
   2025/02/14 by Ntalampekos, Dimitrios · 2 citations
   #30C65 #51F99 #53A05 #53C23 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG) #Primary 30L10 #Secondary 30F10
4. Global regularity of integral 2-varifolds with square integrable mean curvature
   2024/04/18 by Rupp, Fabian, Scharrer, Christian · 2 citations
   #49Q20 (primary) #53A05 #53C42 (secondary) #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
5. Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
   2024/03/15 by Luiz C. B. da Silva, da Silva, Luiz C. B., Gilson S. Ferreira +3 · 1 citation
   Engineering · Mathematics · #53A04 #53A05 #53A35 #53B25 #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics
6. Envelopes of Horospheres and Weingarten Surfaces in Hyperbolic 3-Space
   2024/01/22 by Epstein, Charles L. · 3 citations
   #30C62 #51M10 #53A05 #53C42 #57K32 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics
7. Rotational surfaces with prescribed curvatures
   2023/12/22 by Paula Carretero, Ildefonso Castro, Carretero, Paula +1 · 2 citations
   Mathematics · Physics and Astronomy · #53A04 #53A05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications
8. Isothermic tori with one family of planar curvature lines and area constrained hyperbolic elastica
   2023/12/12 by Bobenko, Alexander I., Hoffmann, Tim, Sageman-Furnas, Andrew O. · 1 citation
   #53A05 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics
9. Flow by powers of the Gauss curvature in space forms
   2021/11/02 by Min Chen, Chen, Min, Jiuzhou Huang +1 · 1 citation
   Mathematics · #35B65 #35K55 #53A05 #58G11 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities
10. Compact Bonnet Pairs: isometric tori with the same curvatures
    2021/10/12 by Bobenko, Alexander I., Hoffmann, Tim, Sageman-Furnas, Andrew O. · 2 citations
    #53A05 #53A70 #53C24 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics
11. Symmetries of cross caps
    2021/05/05 by Honda, Atsufumi, Naokawa, Kosuke, Saji, Kentaro +2 · 1 citation
    #53A05 #57R45 #Differential Geometry (math.DG) #FOS: Mathematics
12. Higher order Poincare inequalities and Minkowski-type inequalities
    2021/03/19 by Kwong, Kwok-Kun · 1 citation
    #35A23 #52A39 #53A05 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA)
13. On the Willmore problem for surfaces with symmetry
    2021/03/17 by Kusner, Rob, Wang, Peng · 1 citation
    #53A05 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics
14. Extendibility and boundedness of invariants on singularities of wavefronts
    2020/11/18 by Tito Alexandro Medina Tejeda, Tejeda, Tito Alexandro Medina · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #53A05 #53A55 (Secondary) #57R45 (Primary) #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows
15. The Plateau-Douglas problem for singular configurations and in general metric spaces
    2020/08/20 by Creutz, Paul, Fitzi, Martin · 1 citation
    #49Q05 #53A05 #53C23 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
16. Observer-invariant time derivatives on moving surfaces
    2020/07/02 by Nitschke, Ingo, Voigt, Axel · 1 citation
    #37C10 #53A05 #53A45 #70G45 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
17. On the existence of four or more curved foldings with common creases and crease patterns
    2019/11/17 by Honda, Atsufumi, Naokawa, Kosuke, Saji, Kentaro +2 · 1 citation
    #51M15 #53A05 #Computational Geometry (cs.CG) #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics
18. Curved foldings with common creases and crease patterns
    2019/10/15 by Atsufumi Honda, Honda, Atsufumi, Kosuke Naokawa +7 · 1 citation
    Computer Science · Engineering · Mathematics · #51M15 #53A05 #Advanced Materials and Mechanics #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Mathematics and Applications
19. Extremal problems for surfaces of prescribed topological type (1)
    2019/01/16 by V. N. Lagunov, Lagunov, V. N., Abram I. Fet +1 · 2 citations
    Mathematics · #53A05 #53A07 #53C45 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
20. Monge surfaces and planar geodesic foliations
    2017/07/17 by Brander, David, Gravesen, Jens · 1 citation
    #53A05 #53A17 #Differential Geometry (math.DG) #FOS: Mathematics
21. The Classification of Branched Willmore Spheres in the 3-Sphere and the 4-Sphere
    2017/06/05 by Michelat, Alexis, Rivière, Tristan · 1 citation
    #35J35 #35R01 #49Q10 #53A05 #53A10 #53A30 #53C42 #58E15 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
22. On the flat geometry of the cuspidal edge
    2016/10/27 by Sinha, Raúl Oset, Tari, Farid · 1 citation
    #53A05 #57R45 #Differential Geometry (math.DG) #FOS: Mathematics
23. Isothermic triangulated surfaces
    2015/01/12 by Lam, Wai Yeung, Pinkall, Ulrich · 1 citation
    #52C25 #52C26 #53A05 #53A30 #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
24. Optimal rigidity estimates for nearly umbilical surfaces in arbitrary codimension
    2013/10/18 by Lamm, Tobias, Schätzle, Reiner M. · 1 citation
    #49Q15 #53A05 #53A30 #53C21 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
25. A characterisation of generically rigid frameworks on surfaces of revolution
    2012/10/26 by Nixon, Anthony, Owen, John, Power, Stephen · 1 citation
    #05B35 #05C10 #52C25 #53A05 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
26. The Taylor Expansion of the Exponential Map and Geometric Applications
    2012/10/22 by Monera, M. G., Montesinos-Amilibia, A., Sanabria-Codesal, E. · 1 citation
    #53A05 #53B20 #Differential Geometry (math.DG) #FOS: Mathematics
27. Intrinsic Invariants of Cross Caps
    2012/07/17 by Hasegawa, Masaru, Honda, Atsufumi, Naokawa, Kosuke +2 · 1 citation
    #53A05 #53R45 #Differential Geometry (math.DG) #FOS: Mathematics
28. Criteria for D₄ singularities of wave fronts
    2009/06/29 by Kentaro Saji, Saji, Kentaro · 1 citation
    Mathematics · #53A05 #53D99 #57R45 #Advanced Mathematical Physics Problems #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Navier-Stokes equation solutions
29. Criteria for cuspidal S_k singularities and their applications
    2009/05/14 by Saji, Kentaro · 1 citation
    #53A05 #57R45 #FOS: Mathematics #Geometric Topology (math.GT)
30. Certain Constant Angle Surfaces Constructed on Curves
    2009/04/09 by Nistor, Ana-Irina · 1 citation
    #53A04 #53A05 #Differential Geometry (math.DG) #FOS: Mathematics

more