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Author ID: karcher.hermann Recent zbMATH articles by "Karcher, Hermann"
Published as: Karcher, Hermann; Karcher, H.
Further Spellings: Кархер Герман
Homepage: http://www.math.uni-bonn.de/people/karcher/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Member of Collective: Besse, Arthur Lancelot
Documents Indexed: 54 Publications since 1968, including 1 Book
1 Contribution as Editor · 4 Further Contributions
Reviewing Activity: 5 Reviews
Co-Authors: 21 Co-Authors with 30 Joint Publications
567 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,111 times in 923 Documents Cited by Year
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
259
1977
A general comparison theorem with applications to volume estimates for submanifolds. Zbl 0416.53027
Heintze, Ernst; Karcher, Hermann
93
1978
Gromov’s almost flat manifolds. Zbl 0459.53031
Buser, Peter; Karcher, Hermann
84
1981
Cliffordalgebren und neue isoparametrische Hyperflächen. Zbl 0443.53037
Ferus, Dirk; Karcher, Hermann; Münzner, Hans-Friedrich
81
1981
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions. Zbl 0687.53010
Karcher, Hermann
56
1989
Embedded minimal surfaces derived from Scherk’s examples. Zbl 0658.53006
Karcher, H.
49
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
40
1973
Complete embedded minimal surfaces of finite total curvature. Zbl 0890.53001
Hoffman, David; Karcher, Hermann
31
1997
Curvature operators: Pinching estimates and geometric examples. Zbl 0386.53031
Bourguignon, Jean-Pierre; Karcher, Hermann
31
1978
Group actions and curvature. Zbl 0271.53044
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
30
1974
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
Non-existence results and growth properties for harmonic maps and forms. Zbl 0544.58008
Karcher, Hermann; Wood, John C.
23
1984
New minimal surfaces in S 3. Zbl 0653.53004
Karcher, H.; Pinkall, U.; Sterling, I.
21
1988
Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher. Zbl 0238.58009
Flaschel, P.; Klingenberg, W.
21
1972
Schnittort und konvexe Mengen in vollständigen Riemannschen Mannigfaltigkeiten. Zbl 0157.28801
Karcher, H.
19
1968
Infinitesimale Charakterisierung von Friedmann-Universen. Zbl 0476.53012
Karcher, Hermann
18
1982
Riemannian comparison constructions. Zbl 0683.53040
Karcher, Hermann
17
1989
Volumes of small balls on open manifolds: Lower bounds and examples. Zbl 0709.53033
Croke, Christopher B.; Karcher, Hermann
14
1988
A short proof of Berger’s curvature tensor estimates. Zbl 0203.54501
Karcher, H.
13
1970
Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039
Brin, M.; Karcher, H.
11
1984
Non-rotational minimal spheres and minimizing cones. Zbl 0566.53052
Ferus, Dirk; Karcher, Hermann
11
1985
On the differentiable pinching problem. Improved by H. Karcher. Zbl 0218.53063
Sugimoto, M.; Shiohama, K.
11
1971
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
The genus one helicoid and the minimal surfaces that led its discovery. Zbl 1049.53502
Karcher, Hermann; Wei, Fusheng; Hoffman, David
8
1993
Construction of triply periodic minimal surfaces. Zbl 0869.53006
Karcher, Hermann; Polthier, Konrad
8
1996
Anwendungen der Alexandrowschen Winkelvergleichssätze. Zbl 0185.25803
Karcher, H.
8
1970
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
Pinching implies strong pinching. Zbl 0216.43803
Karcher, H.
5
1971
A geometric classification of positively curved symmetric spaces and the isoparametric construction of the Cayley plane. Zbl 0669.53038
Karcher, Hermann
4
1988
Hyperbolic surfaces of constant mean curvature one with compact fundamental domains. Zbl 1102.53045
Karcher, Hermann
4
2005
A family of singly periodic minimal surfaces invariant under a screw motion. Zbl 0807.53004
Callahan, Michael; Hoffman, David; Karcher, Hermann
4
1993
Construction of higher genus embedded minimal surfaces. Zbl 0737.53007
Karcher, Hermann
4
1991
Global differential geometry. 2nd ed. Zbl 0683.53001
4
1989
On pinched manifolds with fundamental group Z\(_2\). Zbl 0266.53032
Grove, Karsten; Karcher, Hermann
4
1973
Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie. Zbl 0157.28802
Karcher, H.
4
1968
Imbedded minimal surfaces and their Riemannian surfaces. (Eingebettete Minimalflächen und ihre Riemannschen Flächen.) Zbl 1003.53008
Karcher, H.
3
1999
The geometry of Klein’s Riemann surface. Zbl 0964.14029
Karcher, Hermann; Weber, Matthias
3
1999
Riemannian center of mass and mollifier smoothing. Zbl 0343.57020
Karcher, H.
3
1977
On the differentiable pinching problem. Zbl 0214.48902
Sugimoto, M.; Shiohama, K.; Karcher, H.
3
1971
Introduction to conjugate plateau constructions. Zbl 1130.53010
Karcher, Hermann
2
2005
Group actions and curvature. Zbl 0295.53021
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
2
1975
The Bieberbach case in Gromov’s almost flat manifold theorem. Zbl 0437.53028
Buser, Peter; Karcher, Hermann
2
1981
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
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
1
2003
Submersions via projections. Zbl 0934.53026
Karcher, H.
1
1999
Analysis mit Lipschitz-stetigen Funktionen. Zbl 0296.26005
Karcher, H.
1
1974
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
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
The geometry of Klein’s Riemann surface. Zbl 0964.14029
Karcher, Hermann; Weber, Matthias
3
1999
Submersions via projections. Zbl 0934.53026
Karcher, H.
1
1999
Complete embedded minimal surfaces of finite total curvature. Zbl 0890.53001
Hoffman, David; Karcher, Hermann
31
1997
Construction of triply periodic minimal surfaces. Zbl 0869.53006
Karcher, Hermann; Polthier, Konrad
8
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
8
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
56
1989
Riemannian comparison constructions. Zbl 0683.53040
Karcher, Hermann
17
1989
Global differential geometry. 2nd ed. Zbl 0683.53001
4
1989
Embedded minimal surfaces derived from Scherk’s examples. Zbl 0658.53006
Karcher, H.
49
1988
New minimal surfaces in S 3. Zbl 0653.53004
Karcher, H.; Pinkall, U.; Sterling, I.
21
1988
Volumes of small balls on open manifolds: Lower bounds and examples. Zbl 0709.53033
Croke, Christopher B.; Karcher, Hermann
14
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.
23
1984
Frame flows on manifolds with pinched negative curvature. Zbl 0561.58039
Brin, M.; Karcher, H.
11
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
18
1982
Gromov’s almost flat manifolds. Zbl 0459.53031
Buser, Peter; Karcher, Hermann
84
1981
Cliffordalgebren und neue isoparametrische Hyperflächen. Zbl 0443.53037
Ferus, Dirk; Karcher, Hermann; Münzner, Hans-Friedrich
81
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
93
1978
Curvature operators: Pinching estimates and geometric examples. Zbl 0386.53031
Bourguignon, Jean-Pierre; Karcher, Hermann
31
1978
Riemannian center of mass and mollifier smoothing. Zbl 0354.57005
Karcher, H.
259
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
Group actions and curvature. Zbl 0271.53044
Grove, Karsten; Karcher, Hermann; Ruh, Ernst A.
30
1974
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
Analysis mit Lipschitz-stetigen Funktionen. Zbl 0296.26005
Karcher, H.
1
1974
How to conjugate C\(^1\)-close group actions. Zbl 0245.57016
Grove, Karsten; Karcher, Hermann
40
1973
On pinched manifolds with fundamental group Z\(_2\). Zbl 0266.53032
Grove, Karsten; Karcher, Hermann
4
1973
Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher. Zbl 0238.58009
Flaschel, P.; Klingenberg, W.
21
1972
On the differentiable pinching problem. Improved by H. Karcher. Zbl 0218.53063
Sugimoto, M.; Shiohama, K.
11
1971
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.
19
1968
Umkreise und Inkreise konvexer Kurven in der sphärischen und der hyperbolischen Geometrie. Zbl 0157.28802
Karcher, H.
4
1968
Remarks on polyhedra with given dihedral angles. Zbl 0159.24302
Karcher, H.
2
1968
all top 5

Cited by 1,088 Authors

18 Lim, Yongdo
14 Karcher, Hermann
11 Kim, Sejong
10 Jost, Jürgen
9 Bhattacharya, Rabi N.
9 Hoffman, David A.
9 Pálfia, Miklós
8 Gromov, Mikhael Leonidovich
8 Huckemann, Stephan F.
8 Lawson, Jimmie Don
8 Meeks, William Hamilton III
8 Miyaoka, Reiko
8 Srivastava, Anuj
7 Domínguez-Vázquez, Miguel
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 Pacard, Frank
6 Paulin, Frédéric
6 Pérez Muñoz, Joaquín
6 Radeschi, Marco
6 Ramos Batista, Valério
6 Rossman, Wayne
6 Weinmann, Andreas
6 Yamaguchi, Takao
5 Ahmad, Daud
5 Akutagawa, Kazuo
5 Chi, Quo-Shin
5 Martín, Francisco
5 Morabito, Filippo
5 Rong, Xiaochun
5 Sander, Oliver
5 Shoda, Toshihiro
5 Stepanov, Sergeĭ Evgen’evich
5 Traizet, Martin
5 Weber, Matthias
4 Absil, Pierre-Antoine
4 De, Uday Chand
4 Díaz-Ramos, José Carlos
4 Eschenburg, Jost-Hinrich
4 Fujimori, Shoichi
4 Gallot, Sylvestre
4 Hotz, Thomas
4 Le, Huiling
4 Milatovic, Ognjen
4 Ohnita, Yoshihiro
4 Pennec, Xavier
4 Petean, Jimmy
4 Piccinni, Paolo
4 Ros, Antonio
4 Rosenberg, Harold
4 Schoen, Richard Melvin
4 Tang, Zizhou
4 Wei, Fusheng
4 Wei, Shihshu Walter
4 Yan, Wenjiao
4 Yang, Deane
4 Ziller, Wolfgang
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 Chen, Hao
3 Ciraolo, Giulio
3 Domingo-Juan, M. Carmen
3 Ejiri, Norio
3 Eltzner, Benjamin
3 Fiori, Simone
3 García-Río, Eduardo
3 Ge, Jianquan
3 Ghiglioni, Eduardo M.
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 Khatibzadeh, Hadi
3 Klassen, Eric Paul
3 Kleinjohann, Norbert
3 Kondo, Kei-Ichi
3 Kum, Sangho
3 Kupeli, Demir N.
3 Kurtek, Sebastian
3 Li, QiChao
3 Lin, Lizhen
3 Lytchak, Alexander
3 Ma, Shiguang
...and 988 more Authors
all top 5

Cited in 239 Serials

38 Transactions of the American Mathematical Society
31 Proceedings of the American Mathematical Society
28 Mathematische Annalen
28 Mathematische Zeitschrift
28 The Journal of Geometric Analysis
24 Differential Geometry and its Applications
22 Annals of Global Analysis and Geometry
22 Calculus of Variations and Partial Differential Equations
20 Manuscripta Mathematica
19 Inventiones Mathematicae
18 Journal of Mathematical Analysis and Applications
15 Advances in Mathematics
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
14 Linear Algebra and its Applications
13 Tôhoku Mathematical Journal. Second Series
12 Journal of Geometry and Physics
12 Compositio Mathematica
12 Duke Mathematical Journal
12 Journal of Mathematical Imaging and Vision
12 International Journal of Computer Vision
10 Archiv der Mathematik
10 Geometriae Dedicata
10 Bulletin of the American Mathematical Society. New Series
10 Journal of Mathematical Sciences (New York)
9 Journal of Functional Analysis
9 Geometric and Functional Analysis. GAFA
9 Experimental Mathematics
8 Acta Mathematica
8 Nagoya Mathematical Journal
7 Kodai Mathematical Journal
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Science China. Mathematics
6 Israel Journal of Mathematics
6 Annales de l’Institut Fourier
6 The Annals of Statistics
6 Applied Mathematics and Computation
6 Journal für die Reine und Angewandte Mathematik
6 Journal of the American Mathematical Society
6 Geometry & Topology
6 SIAM Journal on Imaging Sciences
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 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annals of Mathematics. Second Series
5 The Annals of Applied Statistics
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 Journal of the Mathematical Society of Japan
4 Topology and its Applications
4 Ergodic Theory and Dynamical Systems
4 Statistics & Probability Letters
4 Advances in Computational Mathematics
4 Electronic Journal of Statistics
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 Optimization Theory and Applications
3 Proceedings of the Japan Academy. Series A
3 Computer Aided Geometric Design
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Russian Journal of Mathematical Physics
3 Transformation Groups
3 LMS Journal of Computation and Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 Advances in Geometry
3 Foundations of Computational Mathematics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Frontiers of Mathematics in China
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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annals of the Institute of Statistical Mathematics
2 Bulletin de la Société Mathématique de France
2 Illinois Journal of Mathematics
2 Indiana University Mathematics Journal
2 Publications Mathématiques
2 Journal of Computational and Applied Mathematics
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 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 Computational Statistics and Data Analysis
2 Indagationes Mathematicae. New Series
...and 139 more Serials
all top 5

Cited in 53 Fields

633 Differential geometry (53-XX)
163 Global analysis, analysis on manifolds (58-XX)
80 Statistics (62-XX)
74 Partial differential equations (35-XX)
69 Calculus of variations and optimal control; optimization (49-XX)
67 Manifolds and cell complexes (57-XX)
61 Numerical analysis (65-XX)
42 Probability theory and stochastic processes (60-XX)
38 Computer science (68-XX)
34 Operator theory (47-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
26 Topological groups, Lie groups (22-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Several complex variables and analytic spaces (32-XX)
20 Information and communication theory, circuits (94-XX)
19 Convex and discrete geometry (52-XX)
17 Group theory and generalizations (20-XX)
16 Relativity and gravitational theory (83-XX)
15 Functions of a complex variable (30-XX)
13 Geometry (51-XX)
13 Operations research, mathematical programming (90-XX)
12 Algebraic geometry (14-XX)
12 Real functions (26-XX)
12 Algebraic topology (55-XX)
11 Ordinary differential equations (34-XX)
11 Functional analysis (46-XX)
10 Potential theory (31-XX)
10 Quantum theory (81-XX)
9 General topology (54-XX)
9 Biology and other natural sciences (92-XX)
8 Number theory (11-XX)
8 Approximations and expansions (41-XX)
8 Systems theory; control (93-XX)
7 Nonassociative rings and algebras (17-XX)
6 Difference and functional equations (39-XX)
5 Combinatorics (05-XX)
5 Measure and integration (28-XX)
4 General and overarching topics; collections (00-XX)
4 Abstract harmonic analysis (43-XX)
4 Mechanics of particles and systems (70-XX)
4 Mechanics of deformable solids (74-XX)
3 History and biography (01-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 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

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