García Trillos, Nicolás; Murray, Ryan; Thorpe, Matthew From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds. (English) Zbl 07525964 Arch. Ration. Mech. Anal. 244, No. 3, 541-598 (2022). MSC: 68Pxx 05C85 49Qxx 52Axx 62G05 PDF BibTeX XML Cite \textit{N. García Trillos} et al., Arch. Ration. Mech. Anal. 244, No. 3, 541--598 (2022; Zbl 07525964) Full Text: DOI OpenURL
Ghomi, Mohammad; Spruck, Joel Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds. (English) Zbl 07471797 J. Geom. Anal. 32, No. 2, Paper No. 50, 54 p. (2022). MSC: 53C20 58J05 52A38 49Q15 PDF BibTeX XML Cite \textit{M. Ghomi} and \textit{J. Spruck}, J. Geom. Anal. 32, No. 2, Paper No. 50, 54 p. (2022; Zbl 07471797) Full Text: DOI arXiv OpenURL
Chakraborty, Somnath; Narayanan, Hariharan Generating an equidistributed net on a sphere using random rotations. (English) Zbl 07457128 Discrete Comput. Geom. 67, No. 1, 231-257 (2022). MSC: 68W20 52C10 PDF BibTeX XML Cite \textit{S. Chakraborty} and \textit{H. Narayanan}, Discrete Comput. Geom. 67, No. 1, 231--257 (2022; Zbl 07457128) Full Text: DOI arXiv OpenURL
Gangl, Peter; Sturm, Kevin Topological derivative for PDEs on surfaces. (English) Zbl 1481.49043 SIAM J. Control Optim. 60, No. 1, 81-103 (2022). Reviewer: Gloria Paoli (Prato) MSC: 49Q10 90C46 49M41 65M60 PDF BibTeX XML Cite \textit{P. Gangl} and \textit{K. Sturm}, SIAM J. Control Optim. 60, No. 1, 81--103 (2022; Zbl 1481.49043) Full Text: DOI arXiv OpenURL
Brozos-Vázquez, M.; García-Río, E.; Caeiro-Oliveira, S. Three-dimensional homogeneous critical metrics for quadratic curvature functionals. (English) Zbl 1480.53053 Ann. Mat. Pura Appl. (4) 200, No. 1, 363-378 (2021). Reviewer: Cihan Özgür (Balikesir) MSC: 53C21 53B20 53C24 58E11 PDF BibTeX XML Cite \textit{M. Brozos-Vázquez} et al., Ann. Mat. Pura Appl. (4) 200, No. 1, 363--378 (2021; Zbl 1480.53053) Full Text: DOI OpenURL
Zheng, Yizhong Uniform Lipschitz continuity of the isoperimetric profile of compact surfaces under normalized Ricci flow. (English) Zbl 1464.53114 Proc. Am. Math. Soc. 149, No. 5, 2105-2119 (2021). MSC: 53E20 53C20 PDF BibTeX XML Cite \textit{Y. Zheng}, Proc. Am. Math. Soc. 149, No. 5, 2105--2119 (2021; Zbl 1464.53114) Full Text: DOI arXiv Link OpenURL
Rey, Carolina A.; Ruiz, Juan Miguel Multipeak solutions for the Yamabe equation. (English) Zbl 1460.35144 J. Geom. Anal. 31, No. 2, 1180-1222 (2021). MSC: 35J60 58J05 35B33 35B09 PDF BibTeX XML Cite \textit{C. A. Rey} and \textit{J. M. Ruiz}, J. Geom. Anal. 31, No. 2, 1180--1222 (2021; Zbl 1460.35144) Full Text: DOI arXiv OpenURL
Froyland, Gary; Kwok, Eric A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds. (English) Zbl 1477.37092 J. Nonlinear Sci. 30, No. 5, 1889-1971 (2020). Reviewer: Luis Vazquez (Madrid) MSC: 37M99 37A25 53C21 53A10 58J50 76F25 35Q49 PDF BibTeX XML Cite \textit{G. Froyland} and \textit{E. Kwok}, J. Nonlinear Sci. 30, No. 5, 1889--1971 (2020; Zbl 1477.37092) Full Text: DOI arXiv OpenURL
Minne, Andreas; Tewodrose, David Asymptotic mean value Laplacian in metric measure spaces. (English) Zbl 1452.30034 J. Math. Anal. Appl. 491, No. 2, Article ID 124330, 21 p. (2020). MSC: 30L99 31B05 PDF BibTeX XML Cite \textit{A. Minne} and \textit{D. Tewodrose}, J. Math. Anal. Appl. 491, No. 2, Article ID 124330, 21 p. (2020; Zbl 1452.30034) Full Text: DOI arXiv OpenURL
Gilkey, P. B.; Park, J. H. Harmonic spaces and density functions. (English) Zbl 1462.53034 Result. Math. 75, No. 3, Paper No. 121, 18 p. (2020). Reviewer: Igor G. Nikolaev (Urbana) MSC: 53C21 PDF BibTeX XML Cite \textit{P. B. Gilkey} and \textit{J. H. Park}, Result. Math. 75, No. 3, Paper No. 121, 18 p. (2020; Zbl 1462.53034) Full Text: DOI OpenURL
Ao, Weiwei; Wei, Juncheng; Winter, Matthias Stable spike clusters on a compact two-dimensional Riemannian manifold. (English) Zbl 1431.35060 J. Differ. Equations 268, No. 7, 3665-3704 (2020). Reviewer: Denise Huet (Nancy) MSC: 35K45 58J65 53B20 35K57 PDF BibTeX XML Cite \textit{W. Ao} et al., J. Differ. Equations 268, No. 7, 3665--3704 (2020; Zbl 1431.35060) Full Text: DOI OpenURL
Skriganov, M. M. Stolarsky’s invariance principle for projective spaces. (English) Zbl 1433.11096 J. Complexity 56, Article ID 101428, 17 p. (2020). MSC: 11K38 52A20 PDF BibTeX XML Cite \textit{M. M. Skriganov}, J. Complexity 56, Article ID 101428, 17 p. (2020; Zbl 1433.11096) Full Text: DOI arXiv OpenURL
Mebarki, N.; Nemoul, O. A curvature operator for a regular tetrahedron shape in LQG. (English) Zbl 1421.83042 Int. J. Geom. Methods Mod. Phys. 16, No. 6, Article ID 1950095, 16 p. (2019). MSC: 83C45 83D05 57N16 PDF BibTeX XML Cite \textit{N. Mebarki} and \textit{O. Nemoul}, Int. J. Geom. Methods Mod. Phys. 16, No. 6, Article ID 1950095, 16 p. (2019; Zbl 1421.83042) Full Text: DOI arXiv OpenURL
Veronelli, Giona Scalar curvature via local extent. (English) Zbl 1405.53050 Anal. Geom. Metr. Spaces 6, 146-164 (2018). MSC: 53C20 53C23 53C45 PDF BibTeX XML Cite \textit{G. Veronelli}, Anal. Geom. Metr. Spaces 6, 146--164 (2018; Zbl 1405.53050) Full Text: DOI arXiv OpenURL
Chenn, Ilias; Fournodavlos, G.; Sigal, I. M. The effective dynamics of the volume preserving mean curvature flow. (English) Zbl 1396.82014 J. Stat. Phys. 172, No. 2, 458-476 (2018). MSC: 82C24 82C27 82C28 53C40 PDF BibTeX XML Cite \textit{I. Chenn} et al., J. Stat. Phys. 172, No. 2, 458--476 (2018; Zbl 1396.82014) Full Text: DOI OpenURL
Gimeno, Vicent; Palmer, Vicente Mean curvature, volume and properness of isometric immersions. (English) Zbl 1368.53043 Trans. Am. Math. Soc. 369, No. 6, 4347-4366 (2017). Reviewer: Costache Apreutesei (Iaşi) MSC: 53C42 53C20 53C40 PDF BibTeX XML Cite \textit{V. Gimeno} and \textit{V. Palmer}, Trans. Am. Math. Soc. 369, No. 6, 4347--4366 (2017; Zbl 1368.53043) Full Text: DOI arXiv OpenURL
López, M. Castrillón; Mateos, V. Fernández; Masqué, J. Muñoz The equivalence problem of curves in a Riemannian manifold. (English) Zbl 1315.53016 Ann. Mat. Pura Appl. (4) 194, No. 2, 343-367 (2015). MSC: 53B25 53A55 53A04 53B20 53B21 53C35 58A20 PDF BibTeX XML Cite \textit{M. C. López} et al., Ann. Mat. Pura Appl. (4) 194, No. 2, 343--367 (2015; Zbl 1315.53016) Full Text: DOI arXiv OpenURL
Xu, Hao; Yau, Shing-Tung Trees and tensors on Kähler manifolds. (English) Zbl 1277.53022 Ann. Global Anal. Geom. 44, No. 2, 151-168 (2013). Reviewer: Witold Mozgawa (Lublin) MSC: 53B35 53A55 53B25 PDF BibTeX XML Cite \textit{H. Xu} and \textit{S.-T. Yau}, Ann. Global Anal. Geom. 44, No. 2, 151--168 (2013; Zbl 1277.53022) Full Text: DOI OpenURL
Das, Biswarup; Goswami, Debashish Quantum Brownian motion on non-commutative manifolds: Construction, deformation and exit times. (English) Zbl 1236.58017 Commun. Math. Phys. 309, No. 1, 193-228 (2012). Reviewer: Igor V. Nikolaev (Ottawa) MSC: 58B34 46L85 PDF BibTeX XML Cite \textit{B. Das} and \textit{D. Goswami}, Commun. Math. Phys. 309, No. 1, 193--228 (2012; Zbl 1236.58017) Full Text: DOI arXiv OpenURL
Verpoort, Steven Some modifications of the theorem of Beltrami. (English) Zbl 1221.53031 Ann. Mat. Pura Appl. (4) 190, No. 2, 277-294 (2011). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53B20 53B25 PDF BibTeX XML Cite \textit{S. Verpoort}, Ann. Mat. Pura Appl. (4) 190, No. 2, 277--294 (2011; Zbl 1221.53031) Full Text: DOI arXiv OpenURL
Ndumu, Martin N. Brownian motion and Riemannian geometry in the neighbourhood of a submanifold. (English) Zbl 1215.58013 Potential Anal. 34, No. 4, 309-343 (2011). MSC: 58J35 58J65 PDF BibTeX XML Cite \textit{M. N. Ndumu}, Potential Anal. 34, No. 4, 309--343 (2011; Zbl 1215.58013) Full Text: DOI OpenURL
Andrews, Ben; Bryan, Paul Curvature bounds by isoperimetric comparison for normalized Ricci flow on the two-sphere. (English) Zbl 1213.35157 Calc. Var. Partial Differ. Equ. 39, No. 3-4, 419-428 (2010). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35B51 35K55 35K45 58J35 35B45 PDF BibTeX XML Cite \textit{B. Andrews} and \textit{P. Bryan}, Calc. Var. Partial Differ. Equ. 39, No. 3--4, 419--428 (2010; Zbl 1213.35157) Full Text: DOI arXiv OpenURL
Tse, Wang Hung; Wei, Juncheng; Winter, Matthias The Gierer-Meinhardt system on a compact two-dimensional Riemannian manifold: Interaction of Gaussian curvature and Green’s function. (English) Zbl 1204.58026 J. Math. Pures Appl. (9) 94, No. 4, 366-397 (2010). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 53C20 92B05 PDF BibTeX XML Cite \textit{W. H. Tse} et al., J. Math. Pures Appl. (9) 94, No. 4, 366--397 (2010; Zbl 1204.58026) Full Text: DOI OpenURL
Ndumu, Martin N. Heat kernel expansions in vector bundles. (English) Zbl 1238.58015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e445-e473 (2009). MSC: 58J35 35R01 58J37 35K08 58J65 PDF BibTeX XML Cite \textit{M. N. Ndumu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e445--e473 (2009; Zbl 1238.58015) Full Text: DOI OpenURL
Ugalde, William J. Differential forms and the noncommutative residue. (English) Zbl 1151.53313 J. Geom. Phys. 58, No. 12, 1739-1751 (2008). MSC: 53A30 35S05 58B34 46L87 PDF BibTeX XML Cite \textit{W. J. Ugalde}, J. Geom. Phys. 58, No. 12, 1739--1751 (2008; Zbl 1151.53313) Full Text: DOI arXiv OpenURL
Mümken, Bernd A dynamical zeta function for pseudo Riemannian foliations. (English) Zbl 1141.37013 Commun. Math. Phys. 279, No. 3, 585-594 (2008). MSC: 37D40 53C44 37C30 58J65 37A50 PDF BibTeX XML Cite \textit{B. Mümken}, Commun. Math. Phys. 279, No. 3, 585--594 (2008; Zbl 1141.37013) Full Text: DOI OpenURL
Ugalde, William J. A construction of critical GJMS operators using Wodzicki’s residue. (English) Zbl 1104.58006 Commun. Math. Phys. 261, No. 3, 771-788 (2006). MSC: 58J42 53A30 PDF BibTeX XML Cite \textit{W. J. Ugalde}, Commun. Math. Phys. 261, No. 3, 771--788 (2006; Zbl 1104.58006) Full Text: DOI arXiv OpenURL
Pycke, Jean-Renaud Statistics related to Green’s function of the Laplacian. (Des statistiques liées à la fonction de Green du laplacien.) (French) Zbl 1101.62035 C. R., Math., Acad. Sci. Paris 341, No. 8, 515-518 (2005). MSC: 62G10 PDF BibTeX XML Cite \textit{J.-R. Pycke}, C. R., Math., Acad. Sci. Paris 341, No. 8, 515--518 (2005; Zbl 1101.62035) Full Text: DOI OpenURL
Loi, Andrea A Laplace integral on a Kähler manifold and Calabi’s diastasis function. (English) Zbl 1079.53104 Differ. Geom. Appl. 23, No. 1, 55-66 (2005). Reviewer: Marco Abate (Pisa) MSC: 53C55 PDF BibTeX XML Cite \textit{A. Loi}, Differ. Geom. Appl. 23, No. 1, 55--66 (2005; Zbl 1079.53104) Full Text: DOI OpenURL
Bokan, Neda; Djorić, Mirjana; Simon, Udo Geometric structures as determined by the volume of generalized geodesic balls. (English) Zbl 1057.53021 Result. Math. 43, No. 3-4, 205-234 (2003). Reviewer: Stefka Hineva (Sofia) MSC: 53C20 53C65 PDF BibTeX XML Cite \textit{N. Bokan} et al., Result. Math. 43, No. 3--4, 205--234 (2003; Zbl 1057.53021) Full Text: DOI OpenURL
Kim, Yoon Tae; Park, Hyun Suk Mean distance of Brownian motion on a Riemannian manifold. (English) Zbl 1075.58021 Stochastic Processes Appl. 102, No. 1, 117-138 (2002). Reviewer: Bohdan Maslowski (Praha) MSC: 58J65 53B20 PDF BibTeX XML Cite \textit{Y. T. Kim} and \textit{H. S. Park}, Stochastic Processes Appl. 102, No. 1, 117--138 (2002; Zbl 1075.58021) Full Text: DOI OpenURL
Ranjan, Akhil; Shah, Hemangi Harmonic manifolds with mimimal horospheres. (English) Zbl 1066.53086 J. Geom. Anal. 12, No. 4, 683-694 (2002). Reviewer: V. Lakshmibai (Boston) MSC: 53C21 53C25 53C42 PDF BibTeX XML Cite \textit{A. Ranjan} and \textit{H. Shah}, J. Geom. Anal. 12, No. 4, 683--694 (2002; Zbl 1066.53086) Full Text: DOI OpenURL
Loi, Andrea; Sitzia, Paola Explicit formulas for the geodesics of homogeneous SO(2)-isotropic three-dimensional manifolds. (English) Zbl 0978.53082 Adv. Math. 156, No. 1, 1-22 (2000). Reviewer: Constantin Udrişte (Bucureşti) MSC: 53C22 53C30 PDF BibTeX XML Cite \textit{A. Loi} and \textit{P. Sitzia}, Adv. Math. 156, No. 1, 1--22 (2000; Zbl 0978.53082) Full Text: DOI OpenURL
Polterovich, Iosif Heat invariants of Riemannian manifolds. (English) Zbl 0996.58019 Isr. J. Math. 119, 239-252 (2000). Reviewer: Kenro Furutani (Chiba-ken) MSC: 58J35 35Q53 PDF BibTeX XML Cite \textit{I. Polterovich}, Isr. J. Math. 119, 239--252 (2000; Zbl 0996.58019) Full Text: DOI arXiv OpenURL
Ramachandran, K.; Ranjan, A. Harmonic manifolds with some specific volume densities. (English) Zbl 0903.53030 Proc. Indian Acad. Sci., Math. Sci. 107, No. 3, 251-261 (1997). Reviewer: L.Vanhecke (Leuven) MSC: 53C25 PDF BibTeX XML Cite \textit{K. Ramachandran} and \textit{A. Ranjan}, Proc. Indian Acad. Sci., Math. Sci. 107, No. 3, 251--261 (1997; Zbl 0903.53030) Full Text: DOI arXiv OpenURL
Naveira, A. M.; Gual, X. The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces. (English) Zbl 0876.53033 Differ. Geom. Appl. 7, No. 2, 101-113 (1997). Reviewer: L.Vanhecke (Heverlee) MSC: 53C35 PDF BibTeX XML Cite \textit{A. M. Naveira} and \textit{X. Gual}, Differ. Geom. Appl. 7, No. 2, 101--113 (1997; Zbl 0876.53033) Full Text: DOI OpenURL
Monar, Maria Dolores; Vanhecke, Lieven Locally symmetric quaternionic Kähler manifolds. (English) Zbl 0797.53029 Differ. Geom. Appl. 4, No. 2, 127-149 (1994). MSC: 53C15 53C25 53C35 53C40 PDF BibTeX XML Cite \textit{M. D. Monar} and \textit{L. Vanhecke}, Differ. Geom. Appl. 4, No. 2, 127--149 (1994; Zbl 0797.53029) Full Text: DOI OpenURL
García-Río, Eduardo; Vázquez-Abal, M. Elena Geodesic reflections in semi-Riemannian geometry. (English) Zbl 0809.53059 Czech. Math. J. 43, No. 4, 583-597 (1993). Reviewer: O.Kowalski (Praha) MSC: 53C35 53C50 53C55 PDF BibTeX XML Cite \textit{E. García-Río} and \textit{M. E. Vázquez-Abal}, Czech. Math. J. 43, No. 4, 583--597 (1993; Zbl 0809.53059) Full Text: EuDML OpenURL
Kleine, Regina Warped products with discrete spectra. (English) Zbl 0669.58030 Result. Math. 15, No. 1-2, 81-103 (1989). Reviewer: P.Gilkey MSC: 58J50 PDF BibTeX XML Cite \textit{R. Kleine}, Result. Math. 15, No. 1--2, 81--103 (1989; Zbl 0669.58030) Full Text: DOI OpenURL
Blair, D. E.; Vanhecke, L. Jacobi vector fields and the volume of tubes about curves in Sasakian space forms. (English) Zbl 0634.53032 Ann. Mat. Pura Appl., IV. Ser. 148, 41-49 (1987). MSC: 53C25 PDF BibTeX XML Cite \textit{D. E. Blair} and \textit{L. Vanhecke}, Ann. Mat. Pura Appl. (4) 148, 41--49 (1987; Zbl 0634.53032) Full Text: DOI OpenURL
Blair, David; Vanhecke, Lieven Symmetries and \(\phi\)-symmetric spaces. (English) Zbl 0632.53039 Tôhoku Math. J., II. Ser. 39, 373-383 (1987). Reviewer: A.Fleischer MSC: 53C15 53C25 53C35 PDF BibTeX XML Cite \textit{D. Blair} and \textit{L. Vanhecke}, Tohoku Math. J. (2) 39, 373--383 (1987; Zbl 0632.53039) Full Text: DOI OpenURL
Ledger, A. J.; Vanhecke, L. Symmetries and locally s-regular manifolds. (English) Zbl 0602.53034 Ann. Global Anal. Geom. 5, No. 2, 151-160 (1987). MSC: 53C20 53B20 53C15 PDF BibTeX XML Cite \textit{A. J. Ledger} and \textit{L. Vanhecke}, Ann. Global Anal. Geom. 5, No. 2, 151--160 (1987; Zbl 0602.53034) Full Text: DOI OpenURL
Sekigawa, K.; Vanhecke, L. Volume-preserving geodesic symmetries on four-dimensional 2-Stein spaces. (English) Zbl 0613.53010 Kodai Math. J. 9, 215-224 (1986). Reviewer: A.Derdzinski MSC: 53B20 53C25 PDF BibTeX XML Cite \textit{K. Sekigawa} and \textit{L. Vanhecke}, Kodai Math. J. 9, 215--224 (1986; Zbl 0613.53010) Full Text: DOI OpenURL
Miquel, V. The volumes of small geodesic balls for a metric connection. (English) Zbl 0489.53043 Compos. Math. 46, 121-132 (1982). MSC: 53C20 53B20 PDF BibTeX XML Cite \textit{V. Miquel}, Compos. Math. 46, 121--132 (1982; Zbl 0489.53043) Full Text: Numdam EuDML OpenURL
Abbena, E.; Gray, Alfred; Vanhecke, Lieven Steiner’s formula for the volume of a parallel hypersurface in a Riemannian manifold. (English) Zbl 0472.53056 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 8, 473-493 (1981). MSC: 53C40 PDF BibTeX XML Cite \textit{E. Abbena} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 8, 473--493 (1981; Zbl 0472.53056) Full Text: Numdam EuDML OpenURL
Reilly, Robert C. Geometric applications of the solvability of Neumann problems on a Riemannian manifold. (English) Zbl 0457.53008 Arch. Ration. Mech. Anal. 75, 23-29 (1980). MSC: 53B20 PDF BibTeX XML Cite \textit{R. C. Reilly}, Arch. Ration. Mech. Anal. 75, 23--29 (1980; Zbl 0457.53008) Full Text: DOI OpenURL
Kowalski, Oldrich Additive volume invariants of Riemannian manifolds. (English) Zbl 0454.53031 Acta Math. 145, 205-225 (1980). MSC: 53C20 53C30 PDF BibTeX XML Cite \textit{O. Kowalski}, Acta Math. 145, 205--225 (1980; Zbl 0454.53031) Full Text: DOI OpenURL
Gray, Alfred; Hervella, Luis M. The sixteen classes of almost Hermitian manifolds and their linear invariants. (English) Zbl 0444.53032 Ann. Mat. Pura Appl., IV. Ser. 123, 35-58 (1980). MSC: 53C15 53C55 53B35 PDF BibTeX XML Cite \textit{A. Gray} and \textit{L. M. Hervella}, Ann. Mat. Pura Appl. (4) 123, 35--58 (1980; Zbl 0444.53032) Full Text: DOI OpenURL
Gray, Alfred; Vanhecke, Lieven Riemannian geometry as determined by the volumes of small geodesic balls. (English) Zbl 0428.53017 Acta Math. 142, 157-198 (1979). MSC: 53C20 PDF BibTeX XML Cite \textit{A. Gray} and \textit{L. Vanhecke}, Acta Math. 142, 157--198 (1979; Zbl 0428.53017) Full Text: DOI OpenURL
Chen, Bang-Yen; Vanhecke, Lieven Total curvatures of geodesic spheres. (English) Zbl 0416.53025 Arch. Math. 32, 404-411 (1979). MSC: 53C20 53C65 PDF BibTeX XML Cite \textit{B.-Y. Chen} and \textit{L. Vanhecke}, Arch. Math. 32, 404--411 (1979; Zbl 0416.53025) Full Text: DOI OpenURL