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Karcher, Hermann

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Author ID: karcher.hermann Recent zbMATH articles by "Karcher, Hermann"
Published as: Karcher, Hermann; Karcher, H.
Homepage: http://www.math.uni-bonn.de/people/karcher/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Member of Collective: Besse, Arthur Lancelot
Documents Indexed: 53 Publications since 1968, including 2 Books
Reviewing Activity: 2 Reviews

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 994 times in 849 Documents Cited by Year
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
232
1977
A general comparison theorem with applications to volume estimates for submanifolds. Zbl 0416.53027
Heintze, Ernst; Karcher, Hermann
87
1978
Gromov’s almost flat manifolds. Zbl 0459.53031
Buser, Peter; Karcher, Hermann
82
1981
Cliffordalgebren und neue isoparametrische Hyperflächen. Zbl 0443.53037
Ferus, Dirk; Karcher, Hermann; Münzner, Hans-Friedrich
75
1981
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions. Zbl 0687.53010
Karcher, Hermann
51
1989
Embedded minimal surfaces derived from Scherk’s examples. Zbl 0658.53006
Karcher, H.
46
1988
Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen. Zbl 0502.53036
Jost, Juergen; Karcher, Hermann
41
1982
How to conjugate C\(^1\)-close group actions. Zbl 0245.57016
Grove, Karsten; Karcher, Hermann
32
1973
Complete embedded minimal surfaces of finite total curvature. Zbl 0890.53001
Hoffman, David; Karcher, Hermann
30
1997
Curvature operators: Pinching estimates and geometric examples. Zbl 0386.53031
Bourguignon, Jean-Pierre; Karcher, Hermann
30
1978
Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems. Zbl 0273.53051
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
28
1974
Group actions and curvature. Zbl 0271.53044
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
28
1974
Non-existence results and growth properties for harmonic maps and forms. Zbl 0544.58008
Karcher, Hermann; Wood, John C.
22
1984
New minimal surfaces in S 3. Zbl 0653.53004
Karcher, H.; Pinkall, U.; Sterling, I.
17
1988
Riemannian comparison constructions. Zbl 0683.53040
Karcher, Hermann
17
1989
Infinitesimale Charakterisierung von Friedmann-Universen. Zbl 0476.53012
Karcher, Hermann
17
1982
Schnittort und konvexe Mengen in vollständigen Riemannschen Mannigfaltigkeiten. Zbl 0157.28801
Karcher, H.
17
1968
A short proof of Berger’s curvature tensor estimates. Zbl 0203.54501
Karcher, H.
13
1970
Volumes of small balls on open manifolds: Lower bounds and examples. Zbl 0709.53033
Croke, Christopher B.; Karcher, Hermann
11
1988
Non-rotational minimal spheres and minimizing cones. Zbl 0566.53052
Ferus, Dirk; Karcher, Hermann
11
1985
The singly periodic genus-one helicoid. Zbl 0958.53006
Hoffman, David; Karcher, Hermann; Wei, Fusheng
10
1999
Adding handles to the helicoid. Zbl 0787.53003
Hoffman, David; Wei, Fusheng; Karcher, Hermann
9
1993
Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039
Brin, M.; Karcher, H.
8
1984
Anwendungen der Alexandrowschen Winkelvergleichssätze. Zbl 0185.25803
Karcher, H.
8
1970
The genus one helicoid and the minimal surfaces that led its discovery. Zbl 1049.53502
Karcher, Hermann; Wei, Fusheng; Hoffman, David
7
1993
Embedded minimal annuli in \(\mathbb{R}^ 3\) bounded by a pair of straight lines. Zbl 0765.53004
Hoffman, David; Karcher, Hermann; Rosenberg, Harold
7
1991
Construction of triply periodic minimal surfaces. Zbl 0869.53006
Karcher, Hermann; Polthier, Konrad
7
1996
Pinching implies strong pinching. Zbl 0216.43803
Karcher, H.
5
1971
Construction of higher genus embedded minimal surfaces. Zbl 0737.53007
Karcher, Hermann
4
1991
A family of singly periodic minimal surfaces invariant under a screw motion. Zbl 0807.53004
Callahan, Michael; Hoffman, David; Karcher, Hermann
4
1993
On pinched manifolds with fundamental group Z\(_2\). Zbl 0266.53032
Grove, Karsten; Karcher, Hermann
4
1973
Hyperbolic surfaces of constant mean curvature one with compact fundamental domains. Zbl 1102.53045
Karcher, Hermann
4
2005
A geometric classification of positively curved symmetric spaces and the isoparametric construction of the Cayley plane. Zbl 0669.53038
Karcher, Hermann
4
1988
Imbedded minimal surfaces and their Riemannian surfaces. (Eingebettete Minimalflächen und ihre Riemannschen Flächen.) Zbl 1003.53008
Karcher, H.
3
1999
Riemannian center of mass and mollifier smoothing. Zbl 0343.57020
Karcher, H.
3
1977
Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie. Zbl 0157.28802
Karcher, H.
3
1968
On the differentiable pinching problem. Zbl 0214.48902
Sugimoto, M.; Shiohama, K.; Karcher, H.
3
1971
The Bieberbach case in Gromov’s almost flat manifold theorem. Zbl 0437.53028
Buser, Peter; Karcher, Hermann
2
1981
Group actions and curvature. Zbl 0295.53021
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
2
1975
Remarks on polyhedra with given dihedral angles. Zbl 0159.24302
Karcher, H.
2
1968
On the Hilbert manifold \(H_1(S^1,M)\) of closed curves. Zbl 0188.54201
Karcher, H.
2
1970
Introduction to conjugate plateau constructions. Zbl 1130.53010
Karcher, Hermann
2
2005
Submersions via projections. Zbl 0934.53026
Karcher, H.
1
1999
Almost linear functions and a-priori estimates for harmonic maps. Zbl 0615.53032
Jost, Jürgen; Karcher, Hermann
1
1984
Geometric analysis and nonlinear partial differential equations. Zbl 1007.00073
Hildebrandt, Stefan (ed.); Karcher, Hermann (ed.)
1
2003
The geometry of Klein’s Riemann surface. Zbl 0964.14029
Karcher, Hermann; Weber, Matthias
1
1999
Hyperbolic surfaces of constant mean curvature one with compact fundamental domains. Zbl 1102.53045
Karcher, Hermann
4
2005
Introduction to conjugate plateau constructions. Zbl 1130.53010
Karcher, Hermann
2
2005
Geometric analysis and nonlinear partial differential equations. Zbl 1007.00073
Hildebrandt, Stefan; Karcher, Hermann
1
2003
The singly periodic genus-one helicoid. Zbl 0958.53006
Hoffman, David; Karcher, Hermann; Wei, Fusheng
10
1999
Imbedded minimal surfaces and their Riemannian surfaces. (Eingebettete Minimalflächen und ihre Riemannschen Flächen.) Zbl 1003.53008
Karcher, H.
3
1999
Submersions via projections. Zbl 0934.53026
Karcher, H.
1
1999
The geometry of Klein’s Riemann surface. Zbl 0964.14029
Karcher, Hermann; Weber, Matthias
1
1999
Complete embedded minimal surfaces of finite total curvature. Zbl 0890.53001
Hoffman, David; Karcher, Hermann
30
1997
Construction of triply periodic minimal surfaces. Zbl 0869.53006
Karcher, Hermann; Polthier, Konrad
7
1996
Adding handles to the helicoid. Zbl 0787.53003
Hoffman, David; Wei, Fusheng; Karcher, Hermann
9
1993
The genus one helicoid and the minimal surfaces that led its discovery. Zbl 1049.53502
Karcher, Hermann; Wei, Fusheng; Hoffman, David
7
1993
A family of singly periodic minimal surfaces invariant under a screw motion. Zbl 0807.53004
Callahan, Michael; Hoffman, David; Karcher, Hermann
4
1993
Embedded minimal annuli in \(\mathbb{R}^ 3\) bounded by a pair of straight lines. Zbl 0765.53004
Hoffman, David; Karcher, Hermann; Rosenberg, Harold
7
1991
Construction of higher genus embedded minimal surfaces. Zbl 0737.53007
Karcher, Hermann
4
1991
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions. Zbl 0687.53010
Karcher, Hermann
51
1989
Riemannian comparison constructions. Zbl 0683.53040
Karcher, Hermann
17
1989
Embedded minimal surfaces derived from Scherk’s examples. Zbl 0658.53006
Karcher, H.
46
1988
New minimal surfaces in S 3. Zbl 0653.53004
Karcher, H.; Pinkall, U.; Sterling, I.
17
1988
Volumes of small balls on open manifolds: Lower bounds and examples. Zbl 0709.53033
Croke, Christopher B.; Karcher, Hermann
11
1988
A geometric classification of positively curved symmetric spaces and the isoparametric construction of the Cayley plane. Zbl 0669.53038
Karcher, Hermann
4
1988
Non-rotational minimal spheres and minimizing cones. Zbl 0566.53052
Ferus, Dirk; Karcher, Hermann
11
1985
Non-existence results and growth properties for harmonic maps and forms. Zbl 0544.58008
Karcher, Hermann; Wood, John C.
22
1984
Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039
Brin, M.; Karcher, H.
8
1984
Almost linear functions and a-priori estimates for harmonic maps. Zbl 0615.53032
Jost, Jürgen; Karcher, Hermann
1
1984
Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen. Zbl 0502.53036
Jost, Juergen; Karcher, Hermann
41
1982
Infinitesimale Charakterisierung von Friedmann-Universen. Zbl 0476.53012
Karcher, Hermann
17
1982
Gromov’s almost flat manifolds. Zbl 0459.53031
Buser, Peter; Karcher, Hermann
82
1981
Cliffordalgebren und neue isoparametrische Hyperflächen. Zbl 0443.53037
Ferus, Dirk; Karcher, Hermann; Münzner, Hans-Friedrich
75
1981
The Bieberbach case in Gromov’s almost flat manifold theorem. Zbl 0437.53028
Buser, Peter; Karcher, Hermann
2
1981
A general comparison theorem with applications to volume estimates for submanifolds. Zbl 0416.53027
Heintze, Ernst; Karcher, Hermann
87
1978
Curvature operators: Pinching estimates and geometric examples. Zbl 0386.53031
Bourguignon, Jean-Pierre; Karcher, Hermann
30
1978
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
232
1977
Riemannian center of mass and mollifier smoothing. Zbl 0343.57020
Karcher, H.
3
1977
Group actions and curvature. Zbl 0295.53021
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
2
1975
Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems. Zbl 0273.53051
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
28
1974
Group actions and curvature. Zbl 0271.53044
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
28
1974
How to conjugate C\(^1\)-close group actions. Zbl 0245.57016
Grove, Karsten; Karcher, Hermann
32
1973
On pinched manifolds with fundamental group Z\(_2\). Zbl 0266.53032
Grove, Karsten; Karcher, Hermann
4
1973
Pinching implies strong pinching. Zbl 0216.43803
Karcher, H.
5
1971
On the differentiable pinching problem. Zbl 0214.48902
Sugimoto, M.; Shiohama, K.; Karcher, H.
3
1971
A short proof of Berger’s curvature tensor estimates. Zbl 0203.54501
Karcher, H.
13
1970
Anwendungen der Alexandrowschen Winkelvergleichssätze. Zbl 0185.25803
Karcher, H.
8
1970
On the Hilbert manifold \(H_1(S^1,M)\) of closed curves. Zbl 0188.54201
Karcher, H.
2
1970
Schnittort und konvexe Mengen in vollständigen Riemannschen Mannigfaltigkeiten. Zbl 0157.28801
Karcher, H.
17
1968
Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie. Zbl 0157.28802
Karcher, H.
3
1968
Remarks on polyhedra with given dihedral angles. Zbl 0159.24302
Karcher, H.
2
1968
all top 5

Cited by 977 Authors

16 Lim, Yongdo
14 Karcher, Hermann
11 Kim, Sejong
10 Jost, Jürgen
9 Bhattacharya, Rabi N.
9 Hoffman, David A.
8 Gromov, Mikhael Leonidovich
8 Meeks, William Hamilton III
8 Miyaoka, Reiko
8 Pálfia, Miklós
7 Huckemann, Stephan F.
7 Lawson, Jimmie Don
7 Lee, Hosoo
7 Patrangenaru, Victor
7 Ruh, Ernst A.
7 Shtern, Aleksandr Isaakovich
6 Brendle, Simon
6 Grohs, Philipp
6 Große-Brauckmann, Karsten
6 Grove, Karsten
6 Kaul, Helmut
6 Miquel, Vicente
6 Paulin, Frédéric
6 Pérez Muñoz, Joaquín
6 Radeschi, Marco
6 Ramos Batista, Valério
6 Srivastava, Anuj
6 Weinmann, Andreas
6 Yamaguchi, Takao
5 Akutagawa, Kazuo
5 Chi, Quo-Shin
5 Domínguez-Vázquez, Miguel
5 Martín, Francisco
5 Morabito, Filippo
5 Pacard, Frank
5 Rossman, Wayne
5 Sander, Oliver
5 Shoda, Toshihiro
5 Stepanov, Sergeĭ Evgen’evich
5 Traizet, Martin
4 Absil, Pierre-Antoine
4 De, Uday Chand
4 Eschenburg, Jost-Hinrich
4 Fujimori, Shoichi
4 Gallot, Sylvestre
4 Hotz, Thomas
4 Le, Huiling
4 Milatovic, Ognjen
4 Ohnita, Yoshihiro
4 Petean, Jimmy
4 Rong, Xiaochun
4 Ros, Antonio
4 Rosenberg, Harold
4 Schoen, Richard Melvin
4 Tang, Zizhou
4 Weber, Matthias
4 Wei, Fusheng
4 Wei, Shihshu Walter
4 Yan, Wenjiao
4 Yang, Deane
3 Ahmad, Daud
3 Alexandrino, Marcos M.
3 Anderson, Michael T.
3 Anirudh, Rushil
3 Bérard, Pierre H.
3 Callahan, Michael
3 Cheeger, Jeff
3 Chen, Binglong
3 Ciraolo, Giulio
3 Domingo-Juan, M. Carmen
3 Ejiri, Norio
3 Fiori, Simone
3 García-Río, Eduardo
3 Golalizadeh, Mousa
3 Greene, Robert Everist
3 Groisser, David
3 Hardering, Hanne
3 Hartley, Richard I.
3 Herrera, Rafael
3 Huff, Robert
3 Jakobson, Dmitry
3 Kleinjohann, Norbert
3 Kum, Sangho
3 Kupeli, Demir N.
3 Li, QiChao
3 Lin, Lizhen
3 Lytchak, Alexander
3 Machado, Luis
3 Magnanini, Rolando
3 Masud, Bilal
3 Mendes, Ricardo A. E.
3 Mikeš, Josef
3 Min-Oo, Maung
3 Oller, Josep M.
3 Panaretos, Victor M.
3 Parkkonen, Jouni
3 Pennec, Xavier
3 Petersen, Peter V
3 Piccinni, Paolo
3 Polthier, Konrad
...and 877 more Authors
all top 5

Cited in 221 Serials

37 Transactions of the American Mathematical Society
29 Proceedings of the American Mathematical Society
28 Mathematische Annalen
28 Mathematische Zeitschrift
24 Differential Geometry and its Applications
24 The Journal of Geometric Analysis
20 Annals of Global Analysis and Geometry
20 Calculus of Variations and Partial Differential Equations
19 Inventiones Mathematicae
19 Manuscripta Mathematica
18 Journal of Mathematical Analysis and Applications
15 Advances in Mathematics
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
13 Tohoku Mathematical Journal. Second Series
12 Journal of Geometry and Physics
12 Compositio Mathematica
12 Duke Mathematical Journal
12 Linear Algebra and its Applications
10 Archiv der Mathematik
10 Bulletin of the American Mathematical Society. New Series
10 Journal of Mathematical Sciences (New York)
9 Geometriae Dedicata
9 Journal of Functional Analysis
9 Geometric and Functional Analysis. GAFA
9 Experimental Mathematics
9 International Journal of Computer Vision
8 Acta Mathematica
8 Nagoya Mathematical Journal
7 Kodai Mathematical Journal
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Journal of Mathematical Imaging and Vision
6 Israel Journal of Mathematics
6 The Annals of Statistics
6 Applied Mathematics and Computation
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Journal of the American Mathematical Society
6 Geometry & Topology
6 SIAM Journal on Imaging Sciences
6 Science China. Mathematics
5 Annales de l’Institut Fourier
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal of Multivariate Analysis
5 Journal of Statistical Planning and Inference
5 Results in Mathematics
5 Annals of Mathematics. Second Series
4 Archive for Rational Mechanics and Analysis
4 Communications in Mathematical Physics
4 General Relativity and Gravitation
4 Rocky Mountain Journal of Mathematics
4 Journal of Differential Equations
4 Journal of Geometry
4 Topology and its Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Physics
3 Periodica Mathematica Hungarica
3 Bulletin of the London Mathematical Society
3 Journal of the Mathematical Society of Japan
3 Journal für die Reine und Angewandte Mathematik
3 Proceedings of the Japan Academy. Series A
3 Ergodic Theory and Dynamical Systems
3 Statistics & Probability Letters
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Russian Journal of Mathematical Physics
3 Advances in Computational Mathematics
3 Transformation Groups
3 LMS Journal of Computation and Mathematics
3 Advances in Geometry
3 Foundations of Computational Mathematics
3 Frontiers of Mathematics in China
3 The Annals of Applied Statistics
3 Complex Manifolds
2 Advances in Applied Probability
2 Computer Methods in Applied Mechanics and Engineering
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Annals of the Institute of Statistical Mathematics
2 Bulletin de la Société Mathématique de France
2 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
2 Journal of Optimization Theory and Applications
2 Mathematische Nachrichten
2 Mathematika
2 Michigan Mathematical Journal
2 Numerische Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Chinese Annals of Mathematics. Series B
2 Computer Aided Geometric Design
2 Probability Theory and Related Fields
2 SIAM Journal on Matrix Analysis and Applications
2 Communications in Statistics. Theory and Methods
2 Proceedings of the National Academy of Sciences of the United States of America
2 Indagationes Mathematicae. New Series
2 Potential Analysis
2 Journal of Computational Neuroscience
2 Sbornik: Mathematics
2 Discrete and Continuous Dynamical Systems
2 Journal of Applied Statistics
2 Journal of the European Mathematical Society (JEMS)
...and 121 more Serials
all top 5

Cited in 51 Fields

596 Differential geometry (53-XX)
153 Global analysis, analysis on manifolds (58-XX)
69 Partial differential equations (35-XX)
65 Statistics (62-XX)
61 Calculus of variations and optimal control; optimization (49-XX)
61 Manifolds and cell complexes (57-XX)
52 Numerical analysis (65-XX)
40 Probability theory and stochastic processes (60-XX)
31 Linear and multilinear algebra; matrix theory (15-XX)
31 Operator theory (47-XX)
28 Computer science (68-XX)
24 Topological groups, Lie groups (22-XX)
20 Several complex variables and analytic spaces (32-XX)
20 Dynamical systems and ergodic theory (37-XX)
19 Information and communication theory, circuits (94-XX)
17 Convex and discrete geometry (52-XX)
15 Group theory and generalizations (20-XX)
14 Relativity and gravitational theory (83-XX)
13 Functions of a complex variable (30-XX)
12 Real functions (26-XX)
12 Geometry (51-XX)
12 Algebraic topology (55-XX)
11 Algebraic geometry (14-XX)
11 Operations research, mathematical programming (90-XX)
10 Functional analysis (46-XX)
10 Quantum theory (81-XX)
9 Ordinary differential equations (34-XX)
9 Biology and other natural sciences (92-XX)
8 Number theory (11-XX)
8 Potential theory (31-XX)
8 General topology (54-XX)
7 Systems theory; control (93-XX)
6 Nonassociative rings and algebras (17-XX)
6 Difference and functional equations (39-XX)
6 Approximations and expansions (41-XX)
5 Combinatorics (05-XX)
5 Measure and integration (28-XX)
5 Mechanics of deformable solids (74-XX)
4 General and overarching topics; collections (00-XX)
4 Abstract harmonic analysis (43-XX)
4 Mechanics of particles and systems (70-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

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