# zbMATH — the first resource for mathematics

## 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: 935 Publications (since 1993)
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#### Latest Issues

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#### Authors

 21 Yau, Shing-Tung 11 Hamilton, Richard S. 10 Yau, Stephen Shing-Toung 8 Tam, Luen-Fai 7 Biswas, Indranil 7 Lu, Peng 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 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, Songying 5 Mazzeo, Rafe R. 5 Ni, Lei 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 Wang, Mu-Tao 5 Wu, Damin 5 Zhu, Xiping 4 Cao, Huai-Dong 4 Cao, Xiaodong 4 Chung Graham, Fan-Rong King 4 Daskalopoulos, Panagiota 4 Grigor’yan, Alexander Asaturovich 4 Hong, Minchun 4 Ichihara, Kazuhiro 4 Li, Jun 4 Li, Wei-Ping 4 Lin, Fang Hua 4 Liu, Kefeng 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 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 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 Lin, Ke-Pao 3 Lopes de Lima, Levi 3 Luk, Hingsun 3 Miao, Pengzi 3 Munteanu, Ovidiu 3 Oguiso, Keiji 3 Peternell, Thomas Martin 3 Rothschild, Linda Preiss 3 Ruan, Weidong 3 Schnürer, Oliver Christian 3 Sedgwick, Eric 3 Topping, Peter Miles 3 Wan, Tom Yau-Heng 3 Wang, Guofang 3 Wang, Jiaping ...and 1,029 more Authors
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#### Fields

 568 Differential geometry (53-XX) 224 Global analysis, analysis on manifolds (58-XX) 145 Manifolds and cell complexes (57-XX) 125 Several complex variables and analytic spaces (32-XX) 117 Partial differential equations (35-XX) 84 Algebraic geometry (14-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 26 Dynamical systems and ergodic theory (37-XX) 26 Relativity and gravitational theory (83-XX) 21 Functions of a complex variable (30-XX) 16 Topological groups, Lie groups (22-XX) 16 Quantum theory (81-XX) 13 Functional analysis (46-XX) 12 Group theory and generalizations (20-XX) 12 Convex and discrete geometry (52-XX) 10 Algebraic topology (55-XX) 9 Potential theory (31-XX) 8 Combinatorics (05-XX) 7 Number theory (11-XX) 7 Category theory; homological algebra (18-XX) 7 Real functions (26-XX) 5 Nonassociative rings and algebras (17-XX) 5 $$K$$-theory (19-XX) 5 Measure and integration (28-XX) 5 Ordinary differential equations (34-XX) 5 Geometry (51-XX) 5 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 4 Operator theory (47-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-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 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

801 Publications have been cited 7,568 times in 5,795 Documents Cited by Year
Sobolev spaces and harmonic maps for metric space targets. Zbl 0862.58004
Korevaar, Nicholas J.; Schoen, Richard M.
1993
A matrix Harnack estimate for the heat equation. Zbl 0799.53048
Hamilton, Richard S.
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
Energy identity for a class of approximate harmonic maps from surfaces. Zbl 0855.58016
Ding, Weiyue; Tian, Gang
1995
Weierstrass type representation of harmonic maps into symmetric spaces. Zbl 0932.58018
Dorfmeister, J.; Pedit, F.; Wu, Hung-Hsi
1998
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
Smooth metric measure spaces with non-negative curvature. Zbl 1246.53056
Munteanu, Ovidiu; Wang, Jiaping
2011
Notion of convexity in Carnot groups. Zbl 1077.22007
Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh
2003
Four-manifolds with positive isotropic curvature. Zbl 0892.53018
Hamilton, Richard S.
1997
Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups. Zbl 1077.22008
Franchi, Bruno; Serapioni, Raul; Cassano, Francesco Serra
2003
Evolution of an extended Ricci flow system. Zbl 1166.53044
List, Bernhard
2008
Analysis of weighted Laplacian and applications to Ricci solitons. Zbl 1245.53039
Munteanu, Ovidiu; Wang, Jiaping
2012
On singularities of the heat flow for harmonic maps from surfaces into spheres. Zbl 0868.58021
Qing, Jie
1995
Special Lagrangians, stable bundles and mean curvature flow. Zbl 1115.53054
Thomas, R. P.; Yau, S.-T.
2002
Global existence theorems for harmonic maps to nonlocally compact spaces. Zbl 0908.58007
Korevaar, Nicholas J.; Schoen, Richard M.
1997
Dehn surgeries on knots creating essential tori. I. Zbl 0865.57015
Gordon, C. McA.; Luecke, J.
1995
Harmonic and quasi-harmonic spheres. Zbl 0934.58018
Lin, Fanghua; Wang, Changyou
1999
The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Zbl 1077.58012
Lassas, Matti; Taylor, Michael; Uhlmann, Gunther
2003
Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds. Zbl 1225.53066
Li, Tian-Jun; Zhang, Weiyi
2009
Gradient estimation on Navier-Stokes equations. Zbl 0939.35139
Tian, Gang; Xin, Zhouping
1999
On type-I singularities in Ricci flow. Zbl 1244.53074
Enders, Joerg; Muller, Reto; Topping, Peter M.
2011
On the classification of warped product Einstein metrics. Zbl 1270.53075
He, Chenxu; Petersen, Peter; Wylie, William
2012
Multiplier ideal sheaves and the Kähler-Ricci flow. Zbl 1143.53064
Phong, D. H.; Sesum, Natasa; Sturm, Jacob
2007
Canonical coordinates and Bergmann metrics. Zbl 0917.53026
Ruan, Wei-Dong
1998
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds. Zbl 1251.32035
Gill, Matt
2011
The spectrum of an asymptotically hyperbolic Einstein manifold. Zbl 0934.58029
Lee, John M.
1995
Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds. Zbl 1023.58021
Viaclovsky, Jeff A.
2002
The classification of tight contact structures on the 3-torus. Zbl 0899.53028
Yutaka, Kanda
1997
Hamiltonian stationary Lagrangian surfaces in $$\mathbb{C}^2$$. Zbl 1007.53060
Hélein, Frédéric; Romon, Pascal
2002
Non-singular solutions of the Ricci flow on three-manifolds. Zbl 0939.53024
Hamilton, Richard S.
1999
Constant mean curvature surfaces with Delaunay ends. Zbl 1005.53006
Mazzeo, Rafe; Pacard, Frank
2001
Dehn filling of the “magic” 3-manifold. Zbl 1118.57018
Martelli, Bruno; Petronio, Carlo
2006
Ricci curvature on Alexandrov spaces and rigidity theorems. Zbl 1230.53064
Zhang, Hui-Chun; Zhu, Xi-Ping
2010
Evolution of harmonic maps with Dirichlet boundary conditions. Zbl 0845.35049
Chen, Yunmei; Lin, Fang Hua
1993
Seiberg-Witten monopoles on Seifert fibered spaces. Zbl 0933.57030
Mrowka, Tomasz; Ozsváth, Peter; Yu, Baozhen
1997
On the volume of a hyberbolic and spherical tetrahedron. Zbl 1084.51009
Murakami, Jun; Yano, Masakazu
2005
The geometry and topology of toric hyperkähler manifolds. Zbl 0992.53034
Bielawski, Roger; Dancer, Andrew S.
2000
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
CR automorphisms of real analytic manifolds in complex space. Zbl 0982.32030
Baouendi, M. S.; Ebenfelt, P.; Rothschild, Linda Preiss
1998
Monotonicity formulas for parabolic flows on manifolds. Zbl 0779.58037
Hamilton, Richard S.
1993
The classification of exceptional Dehn surgeries on 2-bridge knots. Zbl 0964.57013
Brittenham, Mark; Wu, Ying-Qing
2001
Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary. Zbl 1132.53021
Marques, Fernando C.
2007
Kodaira dimension and the Yamabe problem. Zbl 0996.32009
LeBrun, Claude
1999
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
Large-sphere and small-sphere limits of the Brown-York mass. Zbl 1175.53083
Fan, Xu-Qian; Shi, Yuguang; Tam, Luen-Fai
2009
Yamabe constants and the perturbed Seiberg-Witten equations. Zbl 0901.53028
LeBrun, Claude
1997
The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function. Zbl 0923.31005
Guan, Bo
1998
The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature. Zbl 0990.53033
Han, Zheng-Chao; Li, YanYan
2000
The Dirichlet problem for degenerate complex Monge-Ampère equations. Zbl 1222.32044
Phong, D. H.; Sturm, Jacob
2010
The K-energy on hypersurfaces and stability. Zbl 0846.32019
Tian, Gang
1994
Nonuniqueness and high energy solutions for a conformally invariant scalar equation. Zbl 0848.58011
Pollack, Daniel
1993
On a singular diffusion equation. Zbl 0851.35072
Daskalopoulos, Panagiota; del Pino, Manuel A.
1995
Harmonic and quasi-harmonic spheres. II. Zbl 1042.58005
Lin, FangHua; Wang, ChangYou
2002
Rigidity of CR-immersions into spheres. Zbl 1066.32033
Ebenfelt, Peter; Huang, Xiaojun; Zaitsev, Dmitri
2004
Stability of the Ricci flow at Ricci-flat metrics. Zbl 1028.53043
Guenther, Christine; Isenberg, James; Knopf, Dan
2002
Heegaard structures of negatively curved 3-manifolds. Zbl 0890.57025
Moriah, Yoav; Rubinstein, Hyam
1997
$$W^{2,2}$$-conformal immersions of a closed Riemann surface into $$\mathbb{R}^n$$. Zbl 1271.53010
Kuwert, Ernst; Li, Yuxiang
2012
On the well-posedness of the wave map problem in high dimensions. Zbl 1085.58022
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
Gap theorems for minimal submanifolds in $$\mathbb{R}^{n+1}$$. Zbl 1020.53041
Ni, Lei
2001
Rigidity of area-minimizing two-spheres in three-manifolds. Zbl 1226.53054
Bray, Hubert; Brendle, Simon; Neves, Andre
2010
On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint. Zbl 0930.49024
Sternberg, Peter; Zumbrun, Kevin
1999
The cohomology rings of symplectic quotients. Zbl 1087.53076
Tolman, Susan; Weitsman, Jonathan
2003
Canonical metrics on stable vector bundles. Zbl 1093.32008
Wang, Xiaowei
2005
Kähler-Ricci flow and the Poincaré-Lelong equation. Zbl 1067.53054
Ni, Lei; Tam, Luen-Fai
2004
Deformation of $$C^0$$ Riemannian metrics in the direction of their Ricci curvature. Zbl 1034.58008
Simon, Miles
2002
Potential theory on Lipschitz domains in Riemannian manifolds: $$L^p$$ Hardy, and Hölder space results. Zbl 0994.31001
Mitrea, Marius; Taylor, Michael
2001
A new parabolic flow in Kähler manifolds. Zbl 1073.53089
Chen, X. X.
2004
Foliations by constant mean curvature tubes. Zbl 1096.53035
Mazzeo, Rafe; Pacard, Frank
2005
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
On a non-local curve evolution problem in the plane. Zbl 1151.35392
Jiang, Lishang; Pan, Shengliang
2008
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
Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings. Zbl 1065.14015
Adler, V. E.; Bobenko, A. I.; Suris, Yu. B.
2004
Convergence of the $$J$$-flow on Kähler surfaces. Zbl 1073.53092
Weinkove, Ben
2004
$$\mathbb{R} /\mathbb{Z}$$ index theory. Zbl 0840.58044
Lott, John
1994
Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039
Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B.
1995
A note on Perelman’s LYH-type inequality. Zbl 1116.58031
Ni, Lei
2006
A general Schwarz lemma for almost-Hermitian manifolds. Zbl 1145.53019
Tosatti, Valentino
2007
Decorated Teichmüller theory of bordered surfaces. Zbl 1072.32008
Penner, R. C.
2004
On projectively flat Hermitian manifolds. Zbl 0837.53053
Li, Jun; Yau, Shing-Tung; Zheng, Fangyang
1994
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
On manifolds with non-negative Ricci curvature and Sobolev inequalities. Zbl 0953.53025
Ledoux, M.
1999
Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs. Zbl 1001.58022
Chung, Fan; Grigor’yan, Alexander; Yau, Shing-Tung
2000
Constant geodesic curvature curves and isoperimetric domains in rotationally symmetric surfaces. Zbl 1018.53003
Ritoré, Manuel
2001
On Yamabe constants of Riemannian products. Zbl 1147.53032
Akutagawa, Kazuo; Florit, Luis A.; Petean, Jimmy
2007
The Ricci flow on complete $$\mathbb{R}^ 2$$. Zbl 0854.58011
Wu, Lang-Fang
1993
Precise asymptotics of the Ricci flow neckpinch. Zbl 1145.53049
Angenent, Sigurd B.; Knopf, Dan
2007
A generalization of Liu-Yau’s quasi-local mass. Zbl 1171.53336
Wang, Mu-Tao; Yau, Shing-Tung
2007
Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition. Zbl 0951.32025
Kwon, Daesung; Oh, Yong-Geun
2000
Stability, energy functionals, and Kähler-Einstein metrics. Zbl 1098.32012
Phong, D. H.; Sturm, Jacob
2003
Quaternionic reduction and Einstein manifolds. Zbl 0856.53038
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1993
Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds. Zbl 0978.32026
Li, Jiayu
2000
Mass endomorphism and spinorial Yamabe type problems on conformally flat manifolds. Zbl 1126.53024
Ammann, Bernd; Humbert, Emmanuel; Morel, Bertrand
2006
Minimal Lagrangian surfaces in $$\mathbb S^2 \times \mathbb S^2$$. Zbl 1185.53063
Castro, Ildefonso; Urbano, Francisco
2007
Rotationally symmetric Ricci flow on asymptotically flat manifolds. Zbl 1138.53057
Oliynyk, Todd A.; Woolgar, Eric
2007
A gap theorem for free boundary minimal surfaces in the three-ball. Zbl 1466.53066
Ambrozio, Lucas; Nunes, Ivaldo
2021
Model spaces in sub-Riemannian geometry. Zbl 07333642
Grong, Erlend
2021
Initial data in general relativity described by expansion, conformal deformation and drift. Zbl 1464.83016
Maxwell, David
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
Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity. Zbl 1464.35395
Deng, Shengbing; Kim, Seunghyeok; Pistoia, Angela
2021
On the visibility of the +achirality of alternating knots. Zbl 07348587
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
Deformation theory of $$\mathrm{G}_2$$ conifolds. Zbl 07268919
Karigiannis, Spiro; Lotay, Jason D.
2020
Area minimizing discs in locally non-compact metric spaces. Zbl 07188062
Guo, Chang-Yu; Wenger, Stefan
2020
Stability of Einstein metrics under Ricci flow. Zbl 1450.53076
Kröncke, Klaus
2020
Duality between Ahlfors-Liouville and Khas’minskii properties for non-linear equations. Zbl 1453.53047
Mari, Luciano; Pessoa, Leandro F.
2020
Wirtinger systems of generators of knot groups. Zbl 1448.57005
Blair, R.; Kjuchukova, A.; Velazquez, R.; Villanueva, P.
2020
The KW equations and the Nahm pole boundary condition with knots. Zbl 1456.81311
Mazzeo, Rafe; Witten, Edward
2020
Tran, Hung
2020
The generalized Pohozaev-Schoen identity and some geometric applications. Zbl 1441.53035
Barbosa, Ezequiel; Freitas, Allan; Lopes de Lima, Levi
2020
On LMO invariant constraints for cosmetic surgery and other surgery problems for knots in $$S^3$$. Zbl 1446.57005
Ito, Tetsuya
2020
From Lagrangian to totally real geometry: coupled flows and calibrations. Zbl 07229676
Lotay, Jason D.; Pacini, Tommaso
2020
Some integral curvature estimates for the Ricci flow in four dimensions. Zbl 1445.53068
Simon, Miles
2020
Geometric quantities arising from bubbling analysis of mean field equations. Zbl 1458.35203
Lin, Chang-Shou; Wang, Chin-Lung
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
Ancient solutions on bundles with non-abelian structural group. Zbl 07188064
Lu, Peng; Wang, Y. K.
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
A gap theorem of four-dimensional gradient shrinking solitons. Zbl 1445.53041
Zhang, Zhuhong
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
A Euclidean signature semi-classical program. Zbl 1452.83006
Marini, Antonella; Maitra, Rachel; Moncrief, Vincent
2020
Rate of curvature decay for the contracting cusp Ricci flow. Zbl 1457.53077
Topping, Peter M.; Yin, Hao
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
On the Morse index of Willmore spheres in $$S^3$$. Zbl 07283476
Michelat, Alexis
2020
Lie applicable surfaces. Zbl 07283477
Pember, Mason
2020
Stable fixed points of the Einstein flow with positive cosmological constant. Zbl 07283480
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
Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry. Zbl 1461.53016
Lejmi, Mehdi; Upmeier, Markus
2020
Laplacian flow for closed $$\mathrm{G}_2$$ structures: real analyticity. Zbl 1421.53032
Lotay, Jason D.; Wei, Yong
2019
Intrinsic flat Arzela-Ascoli theorems. Zbl 1414.53037
Sormani, Christina
2019
On the evolution by fractional mean curvature. Zbl 1411.35274
Sáez, Mariel; Valdinoci, Enrico
2019
Quantitative regularity for $$p$$-harmonic maps. Zbl 1414.53058
Naber, Aaron; Valtorta, Daniele; Veronelli, Giona
2019
Weyl’s law on $$RCD^{\ast} (K, N)$$ metric measure spaces. Zbl 1464.53052
Zhang, Hui-Chun; Zhu, Xi-Ping
2019
Balanced metrics on uniruled manifolds. Zbl 1467.53074
Chiose, Ionuţ; Răsdeaconu, Rareş; Şuvaina, Ioana
2019
Poisson metrics on flat vector bundles over non-compact curves. Zbl 1422.53057
Collins, Tristan C.; Jacob, Adam; Yau, Shing-Tung
2019
On hypersurfaces of $$\mathbb{S}^2 \times \mathbb{S}^2$$. Zbl 1429.53078
Urbano, Francisco
2019
A fractional free boundary problem related to a plasma problem. Zbl 1430.35244
Allen, Mark
2019
Extinction profile of complete non-compact solutions to the Yamabe flow. Zbl 1462.53093
Daskalopoulos, Panagiota; King, John; Sesum, Natasa
2019
GL(2)-structures in dimension four, $$H$$-flatness and integrability. Zbl 1464.53029
Kryński, Wojciech; Mettler, Thomas
2019
Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property. Zbl 1423.53108
Barbieri, Anna; Stoppa, Jacopo
2019
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature. Zbl 1433.53055
Bettiol, Renato G.; Krishnan, Anusha M.
2019
Differential geometry of the mixed Hodge metric. Zbl 1429.32045
Pearlstein, Gregory; Peters, Chris
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
Volume growth, entropy and stability for translating solitons. Zbl 1414.53061
Guang, Qiang
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
The local equivalence problem for 7-dimensional, 2-nondegenerate CR manifolds. Zbl 1434.32049
Porter, Curtis
2019
Minimal diffeomorphism between hyperbolic surfaces with cone singularities. Zbl 1436.53046
Toulisse, Jérémy
2019
Taut foliations. Zbl 1447.57033
Colin, Vincent; Kazez, William H.; Roberts, Rachel
2019
Desingularization of Lie groupoids and pseudodifferential operators on singular spaces. Zbl 1411.35298
Nistor, Victor
2019
Twist families of L-space knots, their genera, and Seifert surgeries. Zbl 1432.57002
Baker, Kenneth L.; Motegi, Kimihiko
2019
On the nature of isolated asymptotic singularities of solutions of a family of quasi-linear elliptic PDE’s on a Cartan-Hadamard manifold. Zbl 1427.53045
Bonorino, Leonardo; Ripoll, Jaime
2019
A minimum principle for Lagrangian graphs. Zbl 1429.35095
Darvas, Tamás; Rubinstein, Yanir A.
2019
Anisotropic curvature flow of immersed curves. Zbl 1432.53139
Mercier, Gwenael; Novaga, Matteo; Pozzi, Paola
2019
Gradient estimates for the heat equation on graphs. Zbl 1433.58022
Wang, Lin Feng; Zhang, Ze Yu
2019
Complete hypersurfaces in Euclidean spaces with finite strong total curvature. Zbl 1429.53011
do Carmo, Manfredo; Elbert, Maria Fernanda
2019
$$3$$-manifolds admitting locally large distance $$2$$ Heegaard splittings. Zbl 1461.57006
Qiu, Ruifeng; Zou, Yanqing
2019
Regularity result for a shape optimization problem under perimeter constraint. Zbl 1432.35057
Bogosel, Beniamin
2019
A note on Jones polynomial and cosmetic surgery. Zbl 1436.57005
Ichihara, Kazuhiro; Wu, Zhongtao
2019
Non-existence of solutions for a mean field equation on flat tori at critical parameter $$16 \pi$$. Zbl 1465.35221
Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou
2019
A topological characterization of toroidally alternating knots. Zbl 1440.57007
Kim, Seungwon
2019
The width of ellipsoids. Zbl 1440.53043
Sarquis Aiex, Nicolau
2019
Circle actions on symplectic four-manifolds. Zbl 07098084
Holm, Tara S.; Kessler, Liat
2019
Inverse curvature flow in anti-de Sitter-Schwarzschild manifold. Zbl 1422.53055
Lu, Siyuan
2019
Rotational symmetry of asymptotically conical mean curvature flow self-expanders. Zbl 1422.53050
Fong, Frederick Tsz-Ho; McGrath, Peter
2019
Graphs with large girth and nonnegative curvature dimension condition. Zbl 1425.53048
Hua, Bobo; Lin, Yong
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
On curvature tensors of Hermitian manifolds. Zbl 1408.53031
Yang, Bo; Zheng, Fangyang
2018
Anomaly flows. Zbl 1400.32012
Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen
2018
On the lower semicontinuity of the ADM mass. Zbl 1383.53030
Jauregui, Jeffrey L.
2018
Extremal polynomials in stratified groups. Zbl 1397.53046
Le Donne, Enrico; Leonardi, Gian Paolo; Monti, Roberto; Vittone, Davide
2018
Pseudo-locality for a coupled Ricci flow. Zbl 1394.53051
Guo, Bin; Huang, Zhijie; Phong, Duong H.
2018
Rigidity of marginally outer trapped $$2$$-spheres. Zbl 1383.53052
Galloway, Gregory J.; Mendes, Abraão
2018
Uniqueness of Schrödinger flow on manifolds. Zbl 06833137
Song, Chong; Wang, Youde
2018
A unified treatment for $$L_p$$ Brunn-Minkowski type inequalities. Zbl 1391.52011
Zou, Du; Xiong, Ge
2018
Harnack inequalities for evolving hypersurfaces on the sphere. Zbl 1408.53087
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian
2018
Hitchin’s equations on a nonorientable manifold. Zbl 1397.53095
Ho, Nan-Kuo; Wilkin, Graeme; Wu, Siye
2018
Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three. Zbl 1398.53053
Cao, Huai-Dong; He, Chenxu
2018
On the compactness theorem for embedded minimal surfaces in $$3$$-manifolds with locally bounded area and genus. Zbl 1394.53065
White, Brian
2018
Weakly asymptotically hyperbolic manifolds. Zbl 1381.53058
Allen, Paul T.; Isenberg, James; Lee, John M.; Stavrov Allen, Iva
2018
Yamabe classification and prescribed scalar curvature in the asymptotically Euclidean setting. Zbl 1408.53046
Dilts, James; Maxwell, David
2018
Bishop and Laplacian comparison theorems on Sasakian manifolds. Zbl 1407.53046
Lee, Paul W. Y.; Li, Chengbo
2018
Exhaustion of isoperimetric regions in asymptotically hyperbolic manifolds with scalar curvature $$R \geq -6$$. Zbl 1395.83057
Ji, Dandan; Shi, Yuguang; Zhu, Bo
2018
Asymptotically hyperbolic normalized Ricci flow and rotational symmetry. Zbl 1408.53085
Bahuaud, Eric; Woolgar, Eric
2018
Operations between functions. Zbl 1400.26027
Gardner, Richard J.; Kiderlen, Markus
2018
Optimal estimate for the gradient of Green’s function on degenerating surfaces and applications. Zbl 1400.30049
Laurain, Paul; Rivière, Tristan
2018
Logarithmically spiraling helicoids. Zbl 1394.53011
Breiner, Christine; Kleene, Stephen J.
2018
The Seiberg-Witten equations on manifolds with boundary. II: Lagrangian boundary conditions for a Floer theory. Zbl 1390.57020
Nguyen, Timothy
2018
Inequality for Gorenstein minimal 3-folds of general type. Zbl 1410.14032
Hu, Yong
2018
Cohomogeneity one coassociative submanifolds in the bundle of anti-self-dual 2-forms over the 4-sphere. Zbl 1409.53048
Kawai, Kotaro
2018
Asymptotic behavior of type III mean curvature flow on noncompact hypersurfaces. Zbl 1405.53084
Cheng, Liang; Sesum, Natasa
2018
Invariants for Turaev genus one links. Zbl 1409.57005
Dasbach, Oliver T.; Lowrance, Adam M.
2018
Nonexistence and nonuniqueness results for solutions to the vacuum Einstein conformal constraint equations. Zbl 1408.53029
Nguyen, The-Cang
2018
A geometric approach to shortest bounded curvature paths. Zbl 1401.49060
Ayala, José; Kirszenblat, David; Rubinstein, Hyam
2018
Legendrian curve shortening flow in $$\mathbb{R}^3$$. Zbl 1397.53080
Drugan, Gregory; He, Weiyong; Warren, Micah W.
2018
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#### Cited by 4,738 Authors

 27 Jost, Jürgen 27 Li, Jiayu 27 Yau, Shing-Tung 26 Wei, Juncheng 24 Li, YanYan 24 Piccione, Paolo 23 Wang, Changyou 20 Xu, Hongwei 19 Dorfmeister, Josef F. 18 Hua, Bobo 18 Lassas, Matti 18 Tam, Luen-Fai 18 Tsai, Dong-Ho 18 Wang, Guofang 18 Wu, Jiayong 18 Zhang, Xi 17 Tosatti, Valentino 16 Biswas, Indranil 16 Brendle, Simon 16 Lin, Fang Hua 16 Teragaito, Masakazu 16 Weinkove, Ben 15 Lamm, Tobias 15 Malchiodi, Andrea 15 Miao, Pengzi 15 Streets, Jeffrey D. 15 Wang, Youde 14 Cao, Huai-Dong 14 Franchi, Bruno 14 Honda, Shouhei 14 Motegi, Kimihiko 14 Nguyễn Thạc Dũng 14 Phong, Duong Hong 14 Rivière, Tristan 14 Teicher, Mina 14 Tian, Gang 14 Tomassini, Adriano 14 Zhu, Miaomiao 13 Ambrosio, Luigi 13 Chen, Xiuxiong 13 Chow, Bennett 13 Fino, Anna 13 Ho, Pak Tung 13 Khuri, Marcus A. 13 Li, Haizhong 13 Mazzeo, Rafe R. 13 Mondino, Andrea 13 Wheeler, Glen E. 12 Ichihara, Kazuhiro 12 Loi, Andrea 12 Lotay, Jason Dean 12 Loya, Paul A. 12 Lu, Peng 12 Mese, Chikako 12 Petean, Jimmy 12 Ribeiro, Ernani jun. 12 Shi, Yuguang 12 Uhlmann, Gunther Alberto 12 Verbitsky, Misha 12 Vezzoni, Luigi 12 Wang, Linfeng 12 Wenger, Stefan 12 Yang, Xiao-Kui 12 Yau, Stephen Shing-Toung 12 Zhang, Yuguang 12 Zheng, Fangyang 11 Angella, Daniele 11 Baker, Kenneth L. 11 Del Pino, Manuel A. 11 Hsiao, Chin-Yu 11 Huang, Xiaojun 11 Isobe, Takeshi 11 Ivaki, Mohammad N. 11 Kleiner, Bruce 11 Lin, Chang-Shou 11 Ma, Li 11 Ma, Xiaonan 11 Moser, Roger 11 Ni, Lei 11 Park, Jinsung 11 Ritoré, Manuel 11 Rosales, César 11 Rubinstein, Yanir A. 11 Song, Jian 11 Sormani, Christina 11 Wang, Xiaoliu 11 Wei, Yong 10 Abolarinwa, Abimbola 10 Barbosa, Ezequiel R. 10 Boyer, Charles P. 10 Chang, Shu-Cheng 10 Chang, Sun-Yung Alice 10 Galloway, Gregory J. 10 Guo, Hongxin 10 Haslhofer, Robert 10 Hsu, Shu-Yu 10 Katz, Mikhail G. 10 Knopf, Dan 10 Kurylev, Yaroslav V. 10 Liu, Shiping ...and 4,638 more Authors
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#### Cited in 416 Journals

 304 The Journal of Geometric Analysis 270 Calculus of Variations and Partial Differential Equations 216 Transactions of the American Mathematical Society 201 Proceedings of the American Mathematical Society 200 Advances in Mathematics 153 Mathematische Zeitschrift 147 Mathematische Annalen 145 Journal of Geometry and Physics 143 Journal of Functional Analysis 139 Annals of Global Analysis and Geometry 115 Geometriae Dedicata 113 Differential Geometry and its Applications 112 Communications in Mathematical Physics 102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 101 Geometry & Topology 90 Journal of Mathematical Analysis and Applications 88 Algebraic & Geometric Topology 84 Journal of Differential Equations 77 Duke Mathematical Journal 73 Inventiones Mathematicae 68 Topology and its Applications 66 International Journal of Mathematics 64 Manuscripta Mathematica 62 Communications in Contemporary Mathematics 59 Journal für die Reine und Angewandte Mathematik 55 Acta Mathematica Sinica. English Series 53 Journal of Knot Theory and its Ramifications 52 Science China. Mathematics 48 Communications in Partial Differential Equations 47 Journal of High Energy Physics 46 Journal of Mathematical Physics 46 Geometric and Functional Analysis. GAFA 42 Annali di Matematica Pura ed Applicata. Serie Quarta 41 Annales de l’Institut Fourier 36 Archive for Rational Mechanics and Analysis 36 Communications on Pure and Applied Mathematics 36 Journal of the American Mathematical Society 36 Comptes Rendus. Mathématique. Académie des Sciences, Paris 34 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 33 Israel Journal of Mathematics 33 Annales Henri Poincaré 32 Journal of the European Mathematical Society (JEMS) 31 Pacific Journal of Mathematics 30 Results in Mathematics 30 Chinese Annals of Mathematics. Series B 27 Nuclear Physics. B 27 Annals of Mathematics. Second Series 26 Bulletin of the American Mathematical Society. New Series 25 Mathematische Nachrichten 25 Frontiers of Mathematics in China 24 Tohoku Mathematical Journal. Second Series 24 Potential Analysis 23 Discrete and Continuous Dynamical Systems 22 Mathematical Proceedings of the Cambridge Philosophical Society 22 Compositio Mathematica 22 Michigan Mathematical Journal 21 Archiv der Mathematik 21 Journal of Evolution Equations 20 Memoirs of the American Mathematical Society 20 Osaka Journal of Mathematics 20 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 20 Journal of Fixed Point Theory and Applications 19 Science in China. Series A 19 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 17 Journal d’Analyse Mathématique 17 Letters in Mathematical Physics 16 Acta Mathematica 16 Mediterranean Journal of Mathematics 15 Journal of the Mathematical Society of Japan 15 Communications on Pure and Applied Analysis 14 Bulletin of the Australian Mathematical Society 14 Selecta Mathematica. New Series 14 Bulletin of the Brazilian Mathematical Society. New Series 14 Analysis and Geometry in Metric Spaces 13 General Relativity and Gravitation 13 Advanced Nonlinear Studies 13 International Journal of Geometric Methods in Modern Physics 13 Journal of Topology and Analysis 12 Mathematical Methods in the Applied Sciences 12 Journal of Differential Geometry 12 Journal of Algebraic Geometry 12 Applied Mathematics. Series B (English Edition) 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 12 Complex Manifolds 11 Journal of Geometry 11 Revista Matemática Iberoamericana 11 Journal of the Institute of Mathematics of Jussieu 11 Journal of Topology 10 Publications Mathématiques 10 Monatshefte für Mathematik 10 Journal of Mathematical Sciences (New York) 10 Communications in Mathematics and Statistics 10 Geometric Flows 9 Classical and Quantum Gravity 9 Arkiv för Matematik 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Commentarii Mathematici Helvetici 9 Journal of the London Mathematical Society. Second Series 9 SIAM Journal on Mathematical Analysis ...and 316 more Journals
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#### Cited in 60 Fields

 3,342 Differential geometry (53-XX) 1,405 Partial differential equations (35-XX) 1,297 Global analysis, analysis on manifolds (58-XX) 770 Manifolds and cell complexes (57-XX) 683 Several complex variables and analytic spaces (32-XX) 462 Algebraic geometry (14-XX) 322 Calculus of variations and optimal control; optimization (49-XX) 233 Relativity and gravitational theory (83-XX) 200 Dynamical systems and ergodic theory (37-XX) 193 Quantum theory (81-XX) 154 Functions of a complex variable (30-XX) 145 Topological groups, Lie groups (22-XX) 137 Functional analysis (46-XX) 129 Operator theory (47-XX) 129 Convex and discrete geometry (52-XX) 115 Group theory and generalizations (20-XX) 100 Algebraic topology (55-XX) 99 Probability theory and stochastic processes (60-XX) 98 Potential theory (31-XX) 88 Fluid mechanics (76-XX) 81 Combinatorics (05-XX) 80 Measure and integration (28-XX) 66 Real functions (26-XX) 57 Geometry (51-XX) 52 Statistical mechanics, structure of matter (82-XX) 48 Nonassociative rings and algebras (17-XX) 48 Ordinary differential equations (34-XX) 46 Abstract harmonic analysis (43-XX) 45 Numerical analysis (65-XX) 40 Number theory (11-XX) 39 Mechanics of particles and systems (70-XX) 35 Associative rings and algebras (16-XX) 32 $$K$$-theory (19-XX) 30 General topology (54-XX) 29 Mechanics of deformable solids (74-XX) 27 Category theory; homological algebra (18-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 21 Operations research, mathematical programming (90-XX) 18 Biology and other natural sciences (92-XX) 17 Commutative algebra (13-XX) 17 Difference and functional equations (39-XX) 16 Computer science (68-XX) 14 Optics, electromagnetic theory (78-XX) 11 History and biography (01-XX) 11 Integral transforms, operational calculus (44-XX) 10 Special functions (33-XX) 9 Integral equations (45-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Approximations and expansions (41-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 2 Mathematical logic and foundations (03-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX)