## Communications in Analysis and Geometry

 Short Title: Commun. Anal. Geom. Publisher: International Press of Boston, Somerville, MA ISSN: 1019-8385; 1944-9992/e Online: https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/index.php Comments: Indexed cover-to-cover
 Documents Indexed: 992 Publications (since 1993)
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### Authors

 25 Yau, Shing-Tung 11 Hamilton, Richard S. 10 Yau, Stephen Shing-Toung 8 Tam, Luen-Fai 7 Biswas, Indranil 6 Ebenfelt, Peter 6 Isenberg, James A. 6 Jost, Jürgen 6 Lin, Chang-Shou 6 Lotay, Jason Dean 6 Phong, Duong Hong 6 Sesum, Natasa 6 Wang, Mu-Tao 6 White, Brian Cabell 6 Zheng, Fangyang 5 Baker, Kenneth L. 5 Chow, Bennett 5 Florit, Luis A. 5 Galloway, Gregory J. 5 Knopf, Dan 5 LeBrun, Claude R. 5 Leung, Naichung Conan 5 Li, Jun 5 Li, Songying 5 Mazzeo, Rafe R. 5 Ni, Lei 5 Purcell, Jessica Shepherd 5 Qin, Zhenbo 5 Rieck, Yo’av 5 Rivière, Tristan 5 Rubinstein, J. Hyam 5 Simon, Miles 5 Tsai, Dong-Ho 5 Wang, Changyou 5 Wu, Damin 5 Zhu, Xiping 4 Cao, Huai-Dong 4 Cao, Xiaodong 4 Chung, Fan 4 Daskalopoulos, Panagiota 4 Grigor’yan, Alexander Asaturovich 4 Hong, Minchun 4 Ichihara, Kazuhiro 4 Li, Wei-Ping 4 Lin, Fang Hua 4 Lin, Yong 4 Liu, Kefeng 4 Lu, Peng 4 Luecke, John 4 Mese, Chikako 4 Motegi, Kimihiko 4 Piccione, Paolo 4 Shi, Yuguang 4 Sormani, Christina 4 Sturm, Jacob 4 Tian, Gang 4 Uhlenbeck, Karen Keskulla 4 Wang, Shi Cheng 4 Wang, Xiaodong 4 Wang, Xiaowei 4 Wu, Yingqing 3 Ammann, Bernd Eberhard 3 Andersson, Lars Åke 3 Andrews, Ben 3 Bray, Hubert L. 3 Brittenham, Mark 3 Buck, Dorothy 3 Chen, Binglong 3 Chen, Meng 3 Chen, Xiuxiong 3 Chruściel, Piotr Tadeusz 3 Dajczer, Marcos 3 Dancer, Andrew S. 3 Danielli, Donatella 3 Daskalopoulos, Georgios D. 3 Du, Rong 3 Farrell, F. Thomas 3 Fu, Jixiang 3 Garofalo, Nicola 3 Gordon, Cameron McA. 3 Gulliver, Robert D. II 3 Harada, Megumi 3 Hauswirth, Laurent 3 He, Chenxu 3 Ho, Nan-Kuo 3 Holm, Tara S. 3 Huang, Lan-Hsuan 3 Hurtubise, Jacques C. 3 Kobayashi, Tsuyoshi 3 Lassas, Matti J. 3 Lin, Ke-Pao 3 Liu, Shiping 3 Lopes de Lima, Levi 3 Lu, Linyuan 3 Luk, Hingsun 3 Martelli, Bruno 3 Miao, Pengzi 3 Munteanu, Ovidiu 3 Oguiso, Keiji 3 Peternell, Thomas Martin ...and 1,115 more Authors
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### Fields

 605 Differential geometry (53-XX) 229 Global analysis, analysis on manifolds (58-XX) 161 Manifolds and cell complexes (57-XX) 128 Several complex variables and analytic spaces (32-XX) 120 Partial differential equations (35-XX) 90 Algebraic geometry (14-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 28 Relativity and gravitational theory (83-XX) 27 Dynamical systems and ergodic theory (37-XX) 22 Functions of a complex variable (30-XX) 17 Topological groups, Lie groups (22-XX) 16 Quantum theory (81-XX) 13 Group theory and generalizations (20-XX) 13 Functional analysis (46-XX) 12 Convex and discrete geometry (52-XX) 11 Combinatorics (05-XX) 11 Potential theory (31-XX) 11 Algebraic topology (55-XX) 8 Real functions (26-XX) 7 Number theory (11-XX) 7 Category theory; homological algebra (18-XX) 5 Nonassociative rings and algebras (17-XX) 5 Measure and integration (28-XX) 5 Ordinary differential equations (34-XX) 5 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 4 $$K$$-theory (19-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

860 Publications have been cited 8,929 times in 6,747 Documents Cited by Year
A matrix Harnack estimate for the heat equation. Zbl 0799.53048
Hamilton, Richard S.
1993
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
1993
Existence of surfaces minimizing the Willmore functional. Zbl 0848.58012
Simon, Leon
1993
Deformations of calibrated submanifolds. Zbl 0929.53027
McLean, Robert C.
1998
Weierstrass type representation of harmonic maps into symmetric spaces. Zbl 0932.58018
Dorfmeister, J.; Pedit, F.; Wu, Hung-Hsi
1998
Energy identity for a class of approximate harmonic maps from surfaces. Zbl 0855.58016
Ding, Weiyue; Tian, Gang
1995
Smooth metric measure spaces with non-negative curvature. Zbl 1246.53056
Munteanu, Ovidiu; Wang, Jiaping
2011
The geometric Sobolev embedding for vector fields and the isoperimetric inequality. Zbl 0864.46018
Capogna, Luca; Danielli, Donatella; Garofalo, Nicola
1994
Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry. Zbl 1092.53026
Kuwae, Kazuhiro; Shioya, Takashi
2003
Gradient flows on nonpositively curved metric spaces and harmonic maps. Zbl 0914.58008
Mayer, Uwe F.
1998
Gradient flow for the Willmore functional. Zbl 1029.53082
Kuwert, Ernst; Schätzle, Reiner
2002
Analysis of weighted Laplacian and applications to Ricci solitons. Zbl 1245.53039
Munteanu, Ovidiu; Wang, Jiaping
2012
Four-manifolds with positive isotropic curvature. Zbl 0892.53018
Hamilton, Richard S.
1997
Evolution of an extended Ricci flow system. Zbl 1166.53044
List, Bernhard
2008
Notion of convexity in Carnot groups. Zbl 1077.22007
Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh
2003
Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups. Zbl 1077.22008
Franchi, Bruno; Serapioni, Raul; Cassano, Francesco Serra
2003
Special Lagrangians, stable bundles and mean curvature flow. Zbl 1115.53054
Thomas, R. P.; Yau, S.-T.
2002
On the classification of warped product Einstein metrics. Zbl 1270.53075
He, Chenxu; Petersen, Peter; Wylie, William
2012
On type-I singularities in Ricci flow. Zbl 1244.53074
Enders, Joerg; Muller, Reto; Topping, Peter M.
2011
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds. Zbl 1251.32035
Gill, Matt
2011
On singularities of the heat flow for harmonic maps from surfaces into spheres. Zbl 0868.58021
Qing, Jie
1995
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
1997
Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds. Zbl 1225.53066
Li, Tian-Jun; Zhang, Weiyi
2009
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012
Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
2003
Harmonic and quasi-harmonic spheres. Zbl 0934.58018
Lin, Fanghua; Wang, Changyou
1999
Dehn surgeries on knots creating essential tori. I. Zbl 0865.57015
Gordon, C. McA.; Luecke, J.
1995
Multiplier ideal sheaves and the Kähler-Ricci flow. Zbl 1143.53064
Phong, D. H.; Sesum, Natasa; Sturm, Jacob
2007
Gradient estimation on Navier-Stokes equations. Zbl 0939.35139
Tian, Gang; Xin, Zhouping
1999
Canonical coordinates and Bergmann metrics. Zbl 0917.53026
Ruan, Wei-Dong
1998
Ricci curvature on Alexandrov spaces and rigidity theorems. Zbl 1230.53064
Zhang, Hui-Chun; Zhu, Xi-Ping
2010
Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary. Zbl 1132.53021
Marques, Fernando C.
2007
Constant mean curvature surfaces with Delaunay ends. Zbl 1005.53006
Mazzeo, Rafe; Pacard, Frank
2001
The spectrum of an asymptotically hyperbolic Einstein manifold. Zbl 0934.58029
Lee, John M.
1995
Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkers. Zbl 1244.53078
Le, Nam Q.; Sesum, Natasa
2011
Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1023.58021
Viaclovsky, Jeff A.
2002
On the volume of a hyberbolic and spherical tetrahedron. Zbl 1084.51009
Murakami, Jun; Yano, Masakazu
2005
The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function. Zbl 0923.31005
Guan, Bo
1998
Non-singular solutions of the Ricci flow on three-manifolds. Zbl 0939.53024
Hamilton, Richard S.
1999
Hamiltonian stationary Lagrangian surfaces in $$\mathbb{C}^2$$. Zbl 1007.53060
Hélein, Frédéric; Romon, Pascal
2002
The Dirichlet problem for degenerate complex Monge-Ampère equations. Zbl 1222.32044
Phong, D. H.; Sturm, Jacob
2010
Dehn filling of the “magic” 3-manifold. Zbl 1118.57018
Martelli, Bruno; Petronio, Carlo
2006
CR automorphisms of real analytic manifolds in complex space. Zbl 0982.32030
Baouendi, M. S.; Ebenfelt, P.; Rothschild, Linda Preiss
1998
The classification of tight contact structures on the 3-torus. Zbl 0899.53028
Yutaka, Kanda
1997
Evolution of harmonic maps with Dirichlet boundary conditions. Zbl 0845.35049
Chen, Yunmei; Lin, Fang Hua
1993
Sharp logarithmic Sobolev inequalities on gradient solitons and applications. Zbl 1197.53083
Carrillo, José A.; Ni, Lei
2009
The smallest Dirac eigenvalue in a spin-conformal class and cmc immersions. Zbl 1185.58013
Ammann, Bernd
2009
Monotonicity formulas for parabolic flows on manifolds. Zbl 0779.58037
Hamilton, Richard S.
1993
Deformation of $$C^0$$ Riemannian metrics in the direction of their Ricci curvature. Zbl 1034.58008
Simon, Miles
2002
The geometry and topology of toric hyperkähler manifolds. Zbl 0992.53034
Bielawski, Roger; Dancer, Andrew S.
2000
The classification of exceptional Dehn surgeries on 2-bridge knots. Zbl 0964.57013
Brittenham, Mark; Wu, Ying-Qing
2001
Kodaira dimension and the Yamabe problem. Zbl 0996.32009
LeBrun, Claude
1999
Seiberg-Witten monopoles on Seifert fibered spaces. Zbl 0933.57030
Mrowka, Tomasz; Ozsváth, Peter; Yu, Baozhen
1997
The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature. Zbl 0990.53033
Han, Zheng-Chao; Li, YanYan
2000
Large-sphere and small-sphere limits of the Brown-York mass. Zbl 1175.53083
Fan, Xu-Qian; Shi, Yuguang; Tam, Luen-Fai
2009
Rigidity of CR-immersions into spheres. Zbl 1066.32033
Ebenfelt, Peter; Huang, Xiaojun; Zaitsev, Dmitri
2004
On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint. Zbl 0930.49024
Sternberg, Peter; Zumbrun, Kevin
1999
The K-energy on hypersurfaces and stability. Zbl 0846.32019
Tian, Gang
1994
Harmonic and quasi-harmonic spheres. II. Zbl 1042.58005
Lin, FangHua; Wang, ChangYou
2002
A general Schwarz lemma for almost-Hermitian manifolds. Zbl 1145.53019
Tosatti, Valentino
2007
Canonical metrics on stable vector bundles. Zbl 1093.32008
Wang, Xiaowei
2005
Nonuniqueness and high energy solutions for a conformally invariant scalar equation. Zbl 0848.58011
Pollack, Daniel
1993
Yamabe constants and the perturbed Seiberg-Witten equations. Zbl 0901.53028
LeBrun, Claude
1997
A Monge-Ampère-type equation motivated by string theory. Zbl 1122.35145
Fu, Jixiang; Yau, Shingtung
2007
Stability of the Ricci flow at Ricci-flat metrics. Zbl 1028.53043
Guenther, Christine; Isenberg, James; Knopf, Dan
2002
Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles. Zbl 1316.32013
Hsiao, Chin-Yu; Marinescu, George
2014
$$W^{2,2}$$-conformal immersions of a closed Riemann surface into $$\mathbb{R}^n$$. Zbl 1271.53010
Kuwert, Ernst; Li, Yuxiang
2012
Rigidity of area-minimizing two-spheres in three-manifolds. Zbl 1226.53054
Bray, Hubert; Brendle, Simon; Neves, Andre
2010
Kähler-Ricci flow and the Poincaré-Lelong equation. Zbl 1067.53054
Ni, Lei; Tam, Luen-Fai
2004
On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025
Ledoux, M.
1999
On a singular diffusion equation. Zbl 0851.35072
Daskalopoulos, Panagiota; del Pino, Manuel A.
1995
On the well-posedness of the wave map problem in high dimensions. Zbl 1085.58022
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
On curvature tensors of Hermitian manifolds. Zbl 1408.53031
Yang, Bo; Zheng, Fangyang
2018
Convergence of the $$J$$-flow on Kähler surfaces. Zbl 1073.53092
Weinkove, Ben
2004
Heegaard structures of negatively curved 3-manifolds. Zbl 0890.57025
Moriah, Yoav; Rubinstein, Hyam
1997
Ancient solutions of the mean curvature flow. Zbl 1345.53068
Haslhofer, Robert; Hershkovits, Or
2016
Gap theorems for minimal submanifolds in $$\mathbb{R}^{n+1}$$. Zbl 1020.53041
Ni, Lei
2001
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
1995
Constant geodesic curvature curves and isoperimetric domains in rotationally symmetric surfaces. Zbl 1018.53003
Ritoré, Manuel
2001
Regularity of polyharmonic maps in the critical dimension. Zbl 1183.58010
Gastel, Andreas; Scheven, Christoph
2009
Analytic surgery and analytic torsion. Zbl 0926.58004
Hassell, Andrew
1998
The cohomology rings of symplectic quotients. Zbl 1087.53076
Tolman, Susan; Weitsman, Jonathan
2003
Heat kernels and Green’s functions on limit spaces. Zbl 1018.58013
Ding, Yu
2002
On a non-local curve evolution problem in the plane. Zbl 1151.35392
Jiang, Lishang; Pan, Shengliang
2008
Decorated Teichmüller theory of bordered surfaces. Zbl 1072.32008
Penner, R. C.
2004
A new parabolic flow in Kähler manifolds. Zbl 1073.53089
Chen, X. X.
2004
The Ricci flow for simply connected nilmanifolds. Zbl 1244.53077
Lauret, Jorge
2011
Potential theory on Lipschitz domains in Riemannian manifolds: $$L^p$$ Hardy, and Hölder space results. Zbl 0994.31001
Mitrea, Marius; Taylor, Michael
2001
A note on Perelman’s LYH-type inequality. Zbl 1116.58031
Ni, Lei
2006
Minimal Lagrangian surfaces in $$\mathbb S^2 \times \mathbb S^2$$. Zbl 1185.53063
Castro, Ildefonso; Urbano, Francisco
2007
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings. Zbl 1065.14015
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2004
On projectively flat Hermitian manifolds. Zbl 0837.53053
Li, Jun; Yau, Shing-Tung; Zheng, Fangyang
1994
$$\mathbb{R} /\mathbb{Z}$$ index theory. Zbl 0840.58044
Lott, John
1994
Foliations by constant mean curvature tubes. Zbl 1096.53035
Mazzeo, Rafe; Pacard, Frank
2005
Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs. Zbl 1001.58022
Chung, Fan; Grigor’yan, Alexander; Yau, Shing-Tung
2000
Rotationally symmetric Ricci flow on asymptotically flat manifolds. Zbl 1138.53057
Oliynyk, Todd A.; Woolgar, Eric
2007
A generalization of Liu-Yau’s quasi-local mass. Zbl 1171.53336
Wang, Mu-Tao; Yau, Shing-Tung
2007
Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds. Zbl 0978.32026
Li, Jiayu
2000
Rigidity of marginally trapped surfaces and the topology of black holes. Zbl 1147.83005
Galloway, Gregory J.
2008
Remarks on the existence of branch bubbles on the blowup analysis of equation $$-\Delta u= e^{2u}$$ in dimension two. Zbl 0928.35051
Chen, Xiuxiong
1999
Precise asymptotics of the Ricci flow neckpinch. Zbl 1145.53049
Angenent, Sigurd B.; Knopf, Dan
2007
Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces. Zbl 1500.53058
Gigli, Nicola; Pasqualetto, Enrico
2022
The prism manifold realization problem. II. Zbl 1487.57021
Ballinger, William; Ni, Yi; Ochse, Tynan; Vafaee, Faramarz
2022
Local and global gradient estimates for Finsler $$p$$-harmonic functions. Zbl 07625671
Xia, Qiaoling
2022
Regularity of Lie groups. Zbl 1495.58001
Hanusch, Maximilian
2022
Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures. Zbl 1489.53126
Lee, Man-Chun; Ma, John Man Shun
2022
Flat vector bundles and analytic torsion on orbifolds. Zbl 07634452
Shen, Shu; Yu, Jianqing
2022
Jones slopes and coarse volume of near-alternating knots. Zbl 07648353
Lee, Christine Ruey Shan
2022
Behaviour of the reference measure on $$\mathsf{RCD}$$ spaces under charts. Zbl 1494.53050
Gigli, Nicola; Pasqualetto, Enrico
2021
A gap theorem for free boundary minimal surfaces in the three-ball. Zbl 1466.53066
Ambrozio, Lucas; Nunes, Ivaldo
2021
Geodesic orbit spaces in real flag manifolds. Zbl 1468.53046
Grajales, Brian; Grama, Lino; Negreiros, Caio J. C.
2021
Conformal hypersurface geometry via a boundary Loewner-Nirenberg-Yamabe problem. Zbl 07385426
Gover, A. Rod; Waldron, Andrew
2021
On the Hodge conjecture for hypersurfaces in toric varieties. Zbl 1457.14112
Bruzzo, Ugo; Grassi, Antonella
2021
Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity. Zbl 1464.35395
Deng, Shengbing; Kim, Seunghyeok; Pistoia, Angela
2021
Stationary axisymmetric black holes with matter. Zbl 1464.83013
Chodosh, Otis; Shlapentokh-Rothman, Yakov
2021
Model spaces in sub-Riemannian geometry. Zbl 1470.53031
Grong, Erlend
2021
Regularity of CR-mappings of codimension $$1$$ into Levi-degenerate hypersurfaces. Zbl 1464.32057
Kossovskiy, Ilya; Lamel, Bernhard; Xiao, Ming
2021
Initial data in general relativity described by expansion, conformal deformation and drift. Zbl 1464.83016
Maxwell, David
2021
Isotropic curve flows. Zbl 07309976
Terng, Chuu-Lian; Wu, Zhiwei
2021
Evolution of locally convex closed curves in the area-preserving and length-preserving curvature flows. Zbl 1459.53082
Sesum, Natasa; Tsai, Dong-Ho; Wang, Xiao-Liu
2021
On isolated umbilic points. Zbl 1465.53070
Guilfoyle, Brendan
2021
Manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type. Zbl 1489.53026
Jiang, Huihong; Yang, Yi-Hu
2021
Translation surfaces in Euclidean space with constant Gaussian curvature. Zbl 1493.53007
Hasanis, Thomas; López, Rafael
2021
The level set flow of a hypersurface in $$\mathbb{R}^4$$ of low entropy does not disconnect. Zbl 1496.53096
Bernstein, Jacob; Wang, Shengwen
2021
Regularity and stability results for the level set flow via the mean curvature flow with surgery. Zbl 07533146
Mramor, Alexander
2021
Proof of a null Penrose conjecture using a new quasi-local mass. Zbl 1490.83064
Roesch, Henri P.
2021
A high-order Hopf lemma for mappings into classical domains and applications. Zbl 1497.32008
Xiao, Ming
2021
An APS index theorem for even-dimensional manifolds with non-compact boundary. Zbl 1465.58009
Braverman, Maxim; Shi, Pengshuai
2021
Self-expanders to inverse curvature flows by homogeneous functions. Zbl 1466.53096
Chow, Tsz-Kiu Aaron; Chow, Ka-Wing; Fong, Frederick Tsz-Ho
2021
On the visibility of the +achirality of alternating knots. Zbl 1468.57003
Ermotti, Nicola; Quach Hongler, Cam Van; Weber, Claude
2021
On families of fibred knots with equal Seifert forms. Zbl 1464.57002
Misev, Filip
2021
Entropy, noncollapsing, and a gap theorem for ancient solutions to the Ricci flow. Zbl 1466.53105
Zhang, Yongjia
2021
Weil-Petersson geometry on the space of Bridgeland stability conditions. Zbl 1464.32037
Fan, Yu-Wei; Kanazawa, Atsushi; Yau, Shing-Tung
2021
On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in $$S^3$$. Zbl 1446.57005
Ito, Tetsuya
2020
Deformation theory of $$\mathrm{G}_2$$ conifolds. Zbl 1475.53055
Karigiannis, Spiro; Lotay, Jason D.
2020
Area minimizing discs in locally non-compact metric spaces. Zbl 07188062
Guo, Chang-Yu; Wenger, Stefan
2020
The generalized Pohozaev-Schoen identity and some geometric applications. Zbl 1441.53035
Barbosa, Ezequiel; Freitas, Allan; Lopes de Lima, Levi
2020
Some integral curvature estimates for the Ricci flow in four dimensions. Zbl 1445.53068
Simon, Miles
2020
From Lagrangian to totally real geometry: coupled flows and calibrations. Zbl 07229676
Lotay, Jason D.; Pacini, Tommaso
2020
Stability of Einstein metrics under Ricci flow. Zbl 1450.53076
Kröncke, Klaus
2020
The KW equations and the Nahm pole boundary condition with knots. Zbl 1456.81311
Mazzeo, Rafe; Witten, Edward
2020
Almost sure boundedness of iterates for derivative nonlinear wave equations. Zbl 1451.35092
Chanillo, Sagun; Czubak, Magdalena; Mendelso, Dana; Nahmod, Andrea; Staffilani, Gigliola
2020
Stable fixed points of the Einstein flow with positive cosmological constant. Zbl 1485.53085
Fajman, David; Kröncke, Klaus
2020
The isoperimetric problem of a complete Riemannian manifold with a finite number of $$C^0$$-asymptotically Schwarzschild ends. Zbl 1456.53030
Muñoz Flores, Abraham Enrique; Nardulli, Stefano
2020
Tran, Hung
2020
Wirtinger systems of generators of knot groups. Zbl 1448.57005
Blair, R.; Kjuchukova, A.; Velazquez, R.; Villanueva, P.
2020
Duality between Ahlfors-Liouville and Khas’minskii properties for non-linear equations. Zbl 1453.53047
Mari, Luciano; Pessoa, Leandro F.
2020
On the Morse index of Willmore spheres in $$S^3$$. Zbl 1468.35056
Michelat, Alexis
2020
Quasi-local energy with respect to de Sitter/anti-de Sitter reference. Zbl 1467.53020
Chen, Po-Ning; Wang, Mu-Tao; Yau, Shing-Tung
2020
Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry. Zbl 1461.53016
Lejmi, Mehdi; Upmeier, Markus
2020
On Li-Yau gradient estimate for sum of squares of vector fields up to higher step. Zbl 1445.35091
Chang, Der-Chen; Chang, Shu-Cheng; Lin, Chien
2020
Geometric quantities arising from bubbling analysis of mean field equations. Zbl 1458.35203
Lin, Chang-Shou; Wang, Chin-Lung
2020
Lie applicable surfaces. Zbl 07283477
Pember, Mason
2020
Extending four-dimensional Ricci flows with bounded scalar curvature. Zbl 1458.53101
Simon, Miles
2020
Existence of harmonic maps into CAT(1) spaces. Zbl 1477.53095
Breiner, Christine; Fraser, Ailana; Huang, Lan-Hsuan; Mese, Chikako; Sargent, Pam; Zhang, Yingying
2020
A Euclidean signature semi-classical program. Zbl 1452.83006
Marini, Antonella; Maitra, Rachel; Moncrief, Vincent
2020
Monopole Floer homology and the spectral geometry of three-manifolds. Zbl 1472.57032
Lin, Francesco
2020
Rate of curvature decay for the contracting cusp Ricci flow. Zbl 1457.53077
Topping, Peter M.; Yin, Hao
2020
Remarks on complete noncompact Einstein warped products. Zbl 1445.53037
Batista, R.; Ranieri, M.; Ribeiro, E.
2020
A gap theorem of four-dimensional gradient shrinking solitons. Zbl 1445.53041
Zhang, Zhuhong
2020
A new geometric flow over Kähler manifolds. Zbl 1455.53102
Li, Yi; Yuan, Yuan; Zhang, Yuguang
2020
Mean curvature flow of star-shaped hypersurfaces. Zbl 1455.53098
Lin, Longzhi
2020
Total $$p$$-powered curvature of closed curves and flat-core closed $$p$$-curves in $$S^2(G)$$. Zbl 1458.53010
Shioji, Naoki; Watanabe, Kohtaro
2020
Non-integer characterizing slopes for torus knots. Zbl 1468.57006
McCoy, Duncan
2020
Errata to: “Smooth convergence away from singular sets”. Zbl 1479.53051
2020
Splitting theorems for hypersurfaces in Lorentzian manifolds. Zbl 1447.53051
Graf, Melanie
2020
Finsler metrics of weakly isotropic flag curvature. Zbl 1437.53014
Li, Benling
2020
Ancient solutions on bundles with non-abelian structural group. Zbl 07188064
Lu, Peng; Wang, Y. K.
2020
On classification of toric surface codes of dimension seven. Zbl 1455.14055
Hussain, Naveed; Luo, Xue; Yau, Stephen S.-T.; Zhang, Mingyi; Zuo, Huaiqing
2020
Laplacian flow for closed $$\mathrm{G}_2$$ structures: real analyticity. Zbl 1421.53032
Lotay, Jason D.; Wei, Yong
2019
On the evolution by fractional mean curvature. Zbl 1411.35274
Sáez, Mariel; Valdinoci, Enrico
2019
Intrinsic flat Arzela-Ascoli theorems. Zbl 1414.53037
Sormani, Christina
2019
A fractional free boundary problem related to a plasma problem. Zbl 1430.35244
Allen, Mark
2019
Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057
Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung
2019
Quantitative regularity for $$p$$-harmonic maps. Zbl 1414.53058
Naber, Aaron; Valtorta, Daniele; Veronelli, Giona
2019
On hypersurfaces of $$\mathbb{S}^2 \times \mathbb{S}^2$$. Zbl 1429.53078
Urbano, Francisco
2019
A note on Jones polynomial and cosmetic surgery. Zbl 1436.57005
Ichihara, Kazuhiro; Wu, Zhongtao
2019
Extinction profile of complete non-compact solutions to the Yamabe flow. Zbl 1462.53093
Daskalopoulos, Panagiota; King, John; Sesum, Natasa
2019
The parametric $$h$$-principle for minimal surfaces in $$\mathbb{R}^n$$ and null curves in $$\mathbb{C}^n$$. Zbl 1414.53009
Forstnerič, Franc; Lárusson, Finnur
2019
Balanced metrics on uniruled manifolds. Zbl 1467.53074
Chiose, Ionuţ; Răsdeaconu, Rareş; Şuvaina, Ioana
2019
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature. Zbl 1433.53055
Bettiol, Renato G.; Krishnan, Anusha M.
2019
Weyl’s law on $$RCD^{\ast} (K, N)$$ metric measure spaces. Zbl 1464.53052
Zhang, Hui-Chun; Zhu, Xi-Ping
2019
Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property. Zbl 1423.53108
Barbieri, Anna; Stoppa, Jacopo
2019
Taut foliations. Zbl 1447.57033
Colin, Vincent; Kazez, William H.; Roberts, Rachel
2019
Graphs with large girth and nonnegative curvature dimension condition. Zbl 1425.53048
Hua, Bobo; Lin, Yong
2019
Differential geometry of the mixed Hodge metric. Zbl 1429.32045
Pearlstein, Gregory; Peters, Chris
2019
A finite dimensional approach to Donaldson’s J-flow. Zbl 1432.58008
2019
Minimal diffeomorphism between hyperbolic surfaces with cone singularities. Zbl 1436.53046
Toulisse, Jérémy
2019
The local equivalence problem for 7-dimensional, 2-nondegenerate CR manifolds. Zbl 1434.32049
Porter, Curtis
2019
GL(2)-structures in dimension four, $$H$$-flatness and integrability. Zbl 1464.53029
Kryński, Wojciech; Mettler, Thomas
2019
Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies. Zbl 1412.53013
Kolasiński, Sławomir; Strzelecki, Paweł; von der Mosel, Heiko
2019
Volume growth, entropy and stability for translating solitons. Zbl 1414.53061
Guang, Qiang
2019
Desingularization of Lie groupoids and pseudodifferential operators on singular spaces. Zbl 1411.35298
Nistor, Victor
2019
The width of ellipsoids. Zbl 1440.53043
Sarquis Aiex, Nicolau
2019
Rotational symmetry of asymptotically conical mean curvature flow self-expanders. Zbl 1422.53050
Fong, Frederick Tsz-Ho; McGrath, Peter
2019
Asymptotic Dirichlet problem for $$\mathcal{A}$$-harmonic and minimal graph equations in Cartan-Hadamard manifolds. Zbl 1430.53047
Casteras, Jean-Baptiste; Holopainen, Ilkka; Ripoll, Jaime B.
2019
A minimum principle for Lagrangian graphs. Zbl 1429.35095
Darvas, Tamás; Rubinstein, Yanir A.
2019
Gradient estimates for the heat equation on graphs. Zbl 1433.58022
Wang, Lin Feng; Zhang, Ze Yu
2019
$$3$$-manifolds admitting locally large distance $$2$$ Heegaard splittings. Zbl 1461.57006
Qiu, Ruifeng; Zou, Yanqing
2019
The Chern-Gauss-Bonnet formula for singular non-compact four-dimensional manifolds. Zbl 1432.53051
Buzano, Reto; Nguyen, Huy The
2019
Anisotropic curvature flow of immersed curves. Zbl 1432.53139
Mercier, Gwenael; Novaga, Matteo; Pozzi, Paola
2019
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### Cited by 5,417 Authors

 32 Jost, Jürgen 28 Li, Jiayu 27 Wei, Juncheng 27 Yau, Shing-Tung 25 Xu, Hongwei 24 Li, YanYan 24 Piccione, Paolo 24 Wang, Changyou 23 Wu, Jiayong 22 Tam, Luen-Fai 21 Dorfmeister, Josef F. 21 Zhang, Xi 21 Zhu, Miaomiao 19 Brendle, Simon 19 Hua, Bobo 19 Tsai, Dong-Ho 18 Abolarinwa, Abimbola 18 Lassas, Matti J. 18 Tosatti, Valentino 18 Wang, Guofang 18 Weinkove, Ben 17 Chow, Bennett 17 Malchiodi, Andrea 17 Nguyễn Thạc Dũng 17 Phong, Duong Hong 17 Rivière, Tristan 16 Biswas, Indranil 16 Fino, Anna 16 Honda, Shouhei 16 Lin, Fang Hua 16 Streets, Jeffrey D. 16 Teragaito, Masakazu 16 Zheng, Fangyang 15 Cao, Huai-Dong 15 Lamm, Tobias 15 Liu, Lei 15 Miao, Pengzi 15 Ribeiro, Ernani jun. 15 Teicher, Mina 15 Tian, Gang 15 Tomassini, Adriano 15 Wang, Youde 14 Franchi, Bruno 14 Ho, Pak Tung 14 Ichihara, Kazuhiro 14 Khuri, Marcus A. 14 Lee, Man-Chun 14 Li, Haizhong 14 Mazzeo, Rafe R. 14 Mese, Chikako 14 Mondino, Andrea 14 Motegi, Kimihiko 14 Vezzoni, Luigi 14 Wheeler, Glen E. 14 Yang, Xiao-Kui 14 Zhao, En-Tao 13 Ambrosio, Luigi 13 Baker, Kenneth L. 13 Chen, Xiuxiong 13 Haslhofer, Robert 13 Hsiao, Chin-Yu 13 Huang, Xiaojun 13 Lotay, Jason Dean 13 Lu, Peng 13 Ritoré, Manuel 13 Sesum, Natasa 13 Shi, Yuguang 13 Verbitsky, Misha 13 Wang, Linfeng 13 Wang, Xiaoliu 13 Wenger, Stefan 13 Yau, Stephen Shing-Toung 12 Angella, Daniele 12 Ivaki, Mohammad N. 12 Kawamura, Masaya 12 Knopf, Dan 12 Kobayashi, Shimpei 12 Loi, Andrea 12 Loya, Paul A. 12 Ni, Lei 12 Petean, Jimmy 12 Rosales, César 12 Sormani, Christina 12 Uhlmann, Gunther Alberto 12 Wei, Yong 12 Wu, Yingyi 12 Yu, Chengjie 12 Zhang, Yuguang 11 Ammann, Bernd Eberhard 11 Bamler, Richard H. 11 Chang, Shu-Cheng 11 Chu, Jianchun 11 Daskalopoulos, Panagiota 11 Del Pino, Manuel A. 11 Garofalo, Nicola 11 Isenberg, James A. 11 Isobe, Takeshi 11 Katz, Mikhail G. 11 Kleiner, Bruce 11 Lin, Chang-Shou ...and 5,317 more Authors
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### Cited in 460 Journals

 373 The Journal of Geometric Analysis 306 Calculus of Variations and Partial Differential Equations 238 Advances in Mathematics 231 Transactions of the American Mathematical Society 226 Proceedings of the American Mathematical Society 179 Mathematische Zeitschrift 158 Journal of Geometry and Physics 156 Mathematische Annalen 155 Journal of Functional Analysis 155 Annals of Global Analysis and Geometry 129 Geometriae Dedicata 124 Communications in Mathematical Physics 122 Differential Geometry and its Applications 122 Geometry & Topology 119 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 103 Algebraic & Geometric Topology 101 Journal of Mathematical Analysis and Applications 87 Journal of Differential Equations 82 Duke Mathematical Journal 82 Journal für die Reine und Angewandte Mathematik 81 Inventiones Mathematicae 76 International Journal of Mathematics 71 Manuscripta Mathematica 70 Topology and its Applications 66 Communications in Contemporary Mathematics 64 Acta Mathematica Sinica. English Series 62 Pacific Journal of Mathematics 59 Journal of High Energy Physics 59 Science China. Mathematics 57 Journal of Knot Theory and its Ramifications 53 Journal of Mathematical Physics 53 Communications in Partial Differential Equations 52 Geometric and Functional Analysis. GAFA 45 Annales de l’Institut Fourier 45 Annali di Matematica Pura ed Applicata. Serie Quarta 42 Archive for Rational Mechanics and Analysis 39 Results in Mathematics 39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 37 Chinese Annals of Mathematics. Series B 37 Journal of the American Mathematical Society 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 37 Annales Henri Poincaré 36 Communications on Pure and Applied Mathematics 36 Journal of the European Mathematical Society (JEMS) 36 Comptes Rendus. Mathématique. Académie des Sciences, Paris 33 Israel Journal of Mathematics 28 Annals of Mathematics. Second Series 27 Nuclear Physics. B 27 Potential Analysis 26 Memoirs of the American Mathematical Society 26 Tôhoku Mathematical Journal. Second Series 26 Bulletin of the American Mathematical Society. New Series 25 Compositio Mathematica 25 Mathematische Nachrichten 25 Frontiers of Mathematics in China 24 Mathematical Proceedings of the Cambridge Philosophical Society 24 Archiv der Mathematik 24 Michigan Mathematical Journal 24 Discrete and Continuous Dynamical Systems 24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 22 Osaka Journal of Mathematics 22 Journal of Evolution Equations 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 22 Journal of Fixed Point Theory and Applications 20 Classical and Quantum Gravity 20 Letters in Mathematical Physics 20 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 19 Science in China. Series A 18 Journal of Differential Geometry 17 Journal d’Analyse Mathématique 17 Acta Mathematica Scientia. Series B. (English Edition) 17 Communications on Pure and Applied Analysis 17 Mediterranean Journal of Mathematics 16 General Relativity and Gravitation 16 Acta Mathematica 16 Journal of the Mathematical Society of Japan 16 Bulletin of the Brazilian Mathematical Society. New Series 16 Journal of Topology and Analysis 15 Selecta Mathematica. New Series 15 Advanced Nonlinear Studies 15 Analysis & PDE 15 Analysis and Geometry in Metric Spaces 14 Bulletin of the Australian Mathematical Society 14 Journal of Geometry 14 Revista Matemática Iberoamericana 14 Complex Manifolds 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Commentarii Mathematici Helvetici 13 Journal of Algebraic Geometry 13 Journal of the Institute of Mathematics of Jussieu 13 International Journal of Geometric Methods in Modern Physics 13 Advances in Calculus of Variations 12 Mathematical Methods in the Applied Sciences 12 Indiana University Mathematics Journal 12 Applied Mathematics. Series B (English Edition) 12 Journal of Mathematical Sciences (New York) 11 Journal of the Korean Mathematical Society 11 SIAM Journal on Mathematical Analysis 11 Journal of Topology 11 Communications in Mathematics and Statistics ...and 360 more Journals
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### Cited in 60 Fields

 3,929 Differential geometry (53-XX) 1,662 Partial differential equations (35-XX) 1,488 Global analysis, analysis on manifolds (58-XX) 896 Manifolds and cell complexes (57-XX) 810 Several complex variables and analytic spaces (32-XX) 541 Algebraic geometry (14-XX) 376 Calculus of variations and optimal control; optimization (49-XX) 269 Relativity and gravitational theory (83-XX) 237 Quantum theory (81-XX) 221 Dynamical systems and ergodic theory (37-XX) 179 Functions of a complex variable (30-XX) 164 Topological groups, Lie groups (22-XX) 159 Convex and discrete geometry (52-XX) 154 Functional analysis (46-XX) 146 Operator theory (47-XX) 127 Group theory and generalizations (20-XX) 115 Probability theory and stochastic processes (60-XX) 113 Potential theory (31-XX) 111 Algebraic topology (55-XX) 100 Combinatorics (05-XX) 96 Measure and integration (28-XX) 94 Fluid mechanics (76-XX) 84 Real functions (26-XX) 69 Geometry (51-XX) 58 Statistical mechanics, structure of matter (82-XX) 57 Numerical analysis (65-XX) 55 Nonassociative rings and algebras (17-XX) 51 Ordinary differential equations (34-XX) 48 Abstract harmonic analysis (43-XX) 46 Mechanics of particles and systems (70-XX) 42 Associative rings and algebras (16-XX) 41 Number theory (11-XX) 39 General topology (54-XX) 38 $$K$$-theory (19-XX) 31 Category theory; homological algebra (18-XX) 30 Mechanics of deformable solids (74-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Operations research, mathematical programming (90-XX) 23 Computer science (68-XX) 22 Difference and functional equations (39-XX) 21 Biology and other natural sciences (92-XX) 18 Commutative algebra (13-XX) 15 History and biography (01-XX) 15 Optics, electromagnetic theory (78-XX) 13 Information and communication theory, circuits (94-XX) 12 Special functions (33-XX) 11 Integral transforms, operational calculus (44-XX) 11 Integral equations (45-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 General and overarching topics; collections (00-XX) 8 Statistics (62-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Approximations and expansions (41-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX)