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Guggenheimer, Heinrich Walter

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Author ID: guggenheimer.heinrich-w Recent zbMATH articles by "Guggenheimer, Heinrich Walter"
Published as: Guggenheimer, H.; Guggenheimer, Heinrich; Guggenheimer, Heinrich W.; Guggenheimer, H. W.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 107 Publications since 1949, including 5 Books
Reviewing Activity: 723 Reviews
Co-Authors: 4 Co-Authors with 4 Joint Publications
351 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 355 times in 294 Documents Cited by Year
Differential geometry. Zbl 0116.13402
Guggenheimer, H. W.
101
1963
Differential geometry. 2nd ed. Zbl 0357.53002
Guggenheimer, Heinrich W.
20
1977
Pseudo-Minkowski differential geometry. Zbl 0134.39705
Guggenheimer, H.
18
1965
Computing frames along a trajectory. Zbl 0664.65017
Guggenheimer, H.
16
1989
Correction to ’the topology of elementary geometry’. Zbl 0201.53202
Guggenheimer, H.
12
1963
A simple estimate of the condition number of a linear system. Zbl 1291.15022
Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R.
11
1995
Hill equations with coexisting periodic solutions. Zbl 0167.37003
Guggenheimer, H.
10
1969
Polar reciprocal convex bodies. Zbl 0257.52014
Guggenheimer, H.
10
1973
Über komplex-analytische Mannigfaltigkeiten mit Kählerscher Metrik. Zbl 0044.36802
Guggenheimer, H.
10
1951
Applicable geometry. Global and local convexity. Zbl 0396.52001
Guggenheimer, Heinrich W.
9
1977
Finite sets on curves and surfaces. Zbl 0135.39904
Guggenheimer, H.
8
1965
Geometric theory of differential equations. I: Second order linear equations. Zbl 0216.10904
Guggenheimer, H.
7
1971
On plane Minkowski geometry. Zbl 0491.52008
Guggenheimer, H.
7
1982
The Jordan Curve Theorem and an unpublished manuscript by Max Dehn. Zbl 0357.01023
Guggenheimer, H.
7
1977
Initial approximations in Durand-Kerner’s root finding method. Zbl 0628.65038
Guggenheimer, H.
6
1986
Plane geometry and its groups. Zbl 0147.38801
Guggenheimer, H. W.
6
1967
Sur la variété \(s\) closes à métrique hermitienne sans torsion. Zbl 0041.50101
Eckmann, Beno; Guggenheimer, Heinrich
6
1949
Geometric theory of differential equations. III: Second order equations on the reals. Zbl 0223.34021
Guggenheimer, H.
5
1971
A formula of Furstenberg-Tzkoni type. Zbl 0258.53062
Guggenheimer, H.
5
1973
Formes différentielles et métrique hermitienne sans torsion. I. Structure complexe, formes pures. II. Formes de class k, formes analytiques. Zbl 0041.50001
Eckmann, Beno; Guggenheimer, Heinrich
5
1949
Über Kählersche und symplektische Differentialalgebren. Zbl 0049.18902
Guggenheimer, Heinrich
5
1952
Sur les variétés qui possèdent une forme extérieure quadratique fermée. Zbl 0054.06812
Guggenheimer, Heinrich
5
1951
Distribution of zeros and limit behavior of solutions of differential equations. Zbl 0326.34041
Guggenheimer, H.
4
1977
The theorem of Menelaus in axiomatic geometry. Zbl 0286.50002
Guggenheimer, H.
4
1974
On a note by Q. G. Mohamad. Zbl 0126.03003
Guggenheimer, H.
4
1964
A characterization of the \(n\)-dimensional parallelotope. Zbl 0331.52005
Guggenheimer, H.; Lutwak, E.
3
1976
Hill equations with coexisting periodic solutions. II. Zbl 0186.41003
Guggenheimer, H.
3
1969
Integral geometry in the Laguerre group. Zbl 0229.53058
Guggenheimer, Heinrich
3
1970
Concave solutions of a Dirichlet problem. Zbl 0243.35030
Guggenheimer, H.
3
1973
Über das Verhalten der Gauß’schen Krümmung bei Affinität. Zbl 0253.53001
Guggenheimer, H.
3
1973
The Hilbert model of hyperbolic geometry. Zbl 0472.51008
Guggenheimer, Heinrich
3
1981
Correction to ”Polar reciprocal convex bodies”. Zbl 0387.52009
Guggenheimer, H.
3
1978
Omologia delle dilatazioni. Zbl 0059.14702
Guggenheimer, Heinrich
3
1954
Nearly spherical surfaces. Zbl 0177.49501
Guggenheimer, H.
2
1969
Geometric theory of differential equations. VI: Ljapunov inequalities for co-conjugate points. Zbl 0256.34037
Guggenheimer, H.
2
1972
A comparison theorem. Zbl 0337.34029
Guggenheimer, H.
2
1976
The topology of elementary geometry. Zbl 0104.14602
Guggenheimer, H.
2
1959
Geometria pseudo-kähleriana. I. Zbl 0052.39001
Guggenheimer, Heinrich
2
1953
Plurigenera of complex manifolds. Zbl 0068.14402
Guggenheimer, H.
2
1955
Homogeneous linear differential equations with only periodic solutions. Zbl 0191.09903
Guggenheimer, H.
1
1970
Geometric theory of differential equations. The Ljapunov integral for monotone coefficients. Zbl 0222.34026
Guggenheimer, H.
1
1971
Geometric theory of differential equations. IV: Two-point boundary value problem s of linear equations. Zbl 0243.34021
Guggenheimer, H.
1
1972
Proof of a conjecture of H. Hadwiger. Zbl 0275.53001
Guggenheimer, H.
1
1974
Stability theory for Hill equations with generalized coefficient. Zbl 0288.34027
Guggenheimer, H.
1
1975
The Jordan and Schoenflies theorems in axiomatic geometry. Zbl 0408.51001
Guggenheimer, H.
1
1978
Contact elements, contact correspondences, and contact invariants. Zbl 0414.53031
Guggenheimer, H.
1
1979
Applications of polarity. Zbl 0294.53002
Guggenheimer, H.
1
1975
A simple proof of Frobenius’s integration theorem. Zbl 0129.09204
Guggenheimer, H.
1
1962
A note on curvature and Betti numbers. Zbl 0045.43005
Guggenheimer, H.
1
1951
Vierdimensionale Einsteinräume. Zbl 0049.39303
Guggenheimer, Heinrich
1
1952
Variétés symplectiques. Zbl 0049.40201
Guggenheimer, H.
1
1952
Formes et vecteurs pseudo-analytiques. Zbl 0057.07401
Guggenheimer, H.
1
1954
Sopra una successione esatta e sulle modificazioni dielle varietà kähleriane di dimensione quattro. Zbl 0066.16102
Guggenheimer, Heinrich
1
1955
Saggi di topologia delle varietà complesse. I, II, III. Zbl 0073.40102
Guggenheimer, H.
1
1956
Opérateurs différentiels et suites exactes sur une variété kaehlerienne. Zbl 0073.40201
Guggenheimer, H.
1
1956
Sur la définition des genres d’une variété complexe non kaehlerienne. Zbl 0073.17203
Guggenheimer, Heinrich
1
1956
An \(n\)-dimensional analogue of the Cremona-Clebsch theorem. Zbl 0086.14303
Guggenheimer, H.
1
1959
A simple estimate of the condition number of a linear system. Zbl 1291.15022
Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R.
11
1995
Computing frames along a trajectory. Zbl 0664.65017
Guggenheimer, H.
16
1989
Initial approximations in Durand-Kerner’s root finding method. Zbl 0628.65038
Guggenheimer, H.
6
1986
On plane Minkowski geometry. Zbl 0491.52008
Guggenheimer, H.
7
1982
The Hilbert model of hyperbolic geometry. Zbl 0472.51008
Guggenheimer, Heinrich
3
1981
Contact elements, contact correspondences, and contact invariants. Zbl 0414.53031
Guggenheimer, H.
1
1979
Correction to ”Polar reciprocal convex bodies”. Zbl 0387.52009
Guggenheimer, H.
3
1978
The Jordan and Schoenflies theorems in axiomatic geometry. Zbl 0408.51001
Guggenheimer, H.
1
1978
Differential geometry. 2nd ed. Zbl 0357.53002
Guggenheimer, Heinrich W.
20
1977
Applicable geometry. Global and local convexity. Zbl 0396.52001
Guggenheimer, Heinrich W.
9
1977
The Jordan Curve Theorem and an unpublished manuscript by Max Dehn. Zbl 0357.01023
Guggenheimer, H.
7
1977
Distribution of zeros and limit behavior of solutions of differential equations. Zbl 0326.34041
Guggenheimer, H.
4
1977
A characterization of the \(n\)-dimensional parallelotope. Zbl 0331.52005
Guggenheimer, H.; Lutwak, E.
3
1976
A comparison theorem. Zbl 0337.34029
Guggenheimer, H.
2
1976
Stability theory for Hill equations with generalized coefficient. Zbl 0288.34027
Guggenheimer, H.
1
1975
Applications of polarity. Zbl 0294.53002
Guggenheimer, H.
1
1975
The theorem of Menelaus in axiomatic geometry. Zbl 0286.50002
Guggenheimer, H.
4
1974
Proof of a conjecture of H. Hadwiger. Zbl 0275.53001
Guggenheimer, H.
1
1974
Polar reciprocal convex bodies. Zbl 0257.52014
Guggenheimer, H.
10
1973
A formula of Furstenberg-Tzkoni type. Zbl 0258.53062
Guggenheimer, H.
5
1973
Concave solutions of a Dirichlet problem. Zbl 0243.35030
Guggenheimer, H.
3
1973
Über das Verhalten der Gauß’schen Krümmung bei Affinität. Zbl 0253.53001
Guggenheimer, H.
3
1973
Geometric theory of differential equations. VI: Ljapunov inequalities for co-conjugate points. Zbl 0256.34037
Guggenheimer, H.
2
1972
Geometric theory of differential equations. IV: Two-point boundary value problem s of linear equations. Zbl 0243.34021
Guggenheimer, H.
1
1972
Geometric theory of differential equations. I: Second order linear equations. Zbl 0216.10904
Guggenheimer, H.
7
1971
Geometric theory of differential equations. III: Second order equations on the reals. Zbl 0223.34021
Guggenheimer, H.
5
1971
Geometric theory of differential equations. The Ljapunov integral for monotone coefficients. Zbl 0222.34026
Guggenheimer, H.
1
1971
Integral geometry in the Laguerre group. Zbl 0229.53058
Guggenheimer, Heinrich
3
1970
Homogeneous linear differential equations with only periodic solutions. Zbl 0191.09903
Guggenheimer, H.
1
1970
Hill equations with coexisting periodic solutions. Zbl 0167.37003
Guggenheimer, H.
10
1969
Hill equations with coexisting periodic solutions. II. Zbl 0186.41003
Guggenheimer, H.
3
1969
Nearly spherical surfaces. Zbl 0177.49501
Guggenheimer, H.
2
1969
Plane geometry and its groups. Zbl 0147.38801
Guggenheimer, H. W.
6
1967
Pseudo-Minkowski differential geometry. Zbl 0134.39705
Guggenheimer, H.
18
1965
Finite sets on curves and surfaces. Zbl 0135.39904
Guggenheimer, H.
8
1965
On a note by Q. G. Mohamad. Zbl 0126.03003
Guggenheimer, H.
4
1964
Differential geometry. Zbl 0116.13402
Guggenheimer, H. W.
101
1963
Correction to ’the topology of elementary geometry’. Zbl 0201.53202
Guggenheimer, H.
12
1963
A simple proof of Frobenius’s integration theorem. Zbl 0129.09204
Guggenheimer, H.
1
1962
The topology of elementary geometry. Zbl 0104.14602
Guggenheimer, H.
2
1959
An \(n\)-dimensional analogue of the Cremona-Clebsch theorem. Zbl 0086.14303
Guggenheimer, H.
1
1959
Saggi di topologia delle varietà complesse. I, II, III. Zbl 0073.40102
Guggenheimer, H.
1
1956
Opérateurs différentiels et suites exactes sur une variété kaehlerienne. Zbl 0073.40201
Guggenheimer, H.
1
1956
Sur la définition des genres d’une variété complexe non kaehlerienne. Zbl 0073.17203
Guggenheimer, Heinrich
1
1956
Plurigenera of complex manifolds. Zbl 0068.14402
Guggenheimer, H.
2
1955
Sopra una successione esatta e sulle modificazioni dielle varietà kähleriane di dimensione quattro. Zbl 0066.16102
Guggenheimer, Heinrich
1
1955
Omologia delle dilatazioni. Zbl 0059.14702
Guggenheimer, Heinrich
3
1954
Formes et vecteurs pseudo-analytiques. Zbl 0057.07401
Guggenheimer, H.
1
1954
Geometria pseudo-kähleriana. I. Zbl 0052.39001
Guggenheimer, Heinrich
2
1953
Über Kählersche und symplektische Differentialalgebren. Zbl 0049.18902
Guggenheimer, Heinrich
5
1952
Vierdimensionale Einsteinräume. Zbl 0049.39303
Guggenheimer, Heinrich
1
1952
Variétés symplectiques. Zbl 0049.40201
Guggenheimer, H.
1
1952
Über komplex-analytische Mannigfaltigkeiten mit Kählerscher Metrik. Zbl 0044.36802
Guggenheimer, H.
10
1951
Sur les variétés qui possèdent une forme extérieure quadratique fermée. Zbl 0054.06812
Guggenheimer, Heinrich
5
1951
A note on curvature and Betti numbers. Zbl 0045.43005
Guggenheimer, H.
1
1951
Sur la variété \(s\) closes à métrique hermitienne sans torsion. Zbl 0041.50101
Eckmann, Beno; Guggenheimer, Heinrich
6
1949
Formes différentielles et métrique hermitienne sans torsion. I. Structure complexe, formes pures. II. Formes de class k, formes analytiques. Zbl 0041.50001
Eckmann, Beno; Guggenheimer, Heinrich
5
1949
all top 5

Cited by 345 Authors

19 Guggenheimer, Heinrich Walter
15 Meek, Dereck S.
13 Walton, Desmond J.
12 Farouki, Rida T.
11 Martini, Horst
9 Balestro, Vitor
9 Olver, Peter John
6 Kaiser, Mark J.
5 Han, Chang Yong
5 Lutwak, Erwin
5 Sestini, Alessandra
5 Teixeira, Ralph Costa
4 Habib, Zulfiqar
4 Hoffman, William C.
4 Qu, Changzheng
4 Tabachnikov, Serge L.
3 Bini, Dario Andrea
3 Choi, Hyeong In
3 Degen, Wendelin L. F.
3 Düldül, Mustafa
3 Giannelli, Carlotta
3 Heil, Erhard
3 Manni, Carla
3 Neuman, František
3 Pambuccian, Victor V.
3 Sakai, Manabu
2 Abdel-All, Nassar Hassan
2 Aléssio, Osmar
2 Anco, Stephen C.
2 Badr, Sayed Abdel-Naeim
2 Bazzoni, Giovanni
2 Biard, Luc
2 Caelli, Terry M.
2 Cripps, Robert J.
2 Cross, Benjamin
2 Delicado, Pedro F.
2 Deng, Chongyang
2 Düldül, Bahar Uyar
2 Goodman, Timothy N. T.
2 Horváth, Ákos G.
2 Karl, William Clem
2 Khadzhiev, Dzhavvat
2 Kwon, Song-Hwa
2 Libermann, Paulette
2 Merikoski, Jorma Kaarlo
2 Nomizu, Katsumi
2 Ören, İdris
2 Pasquali-Coluzzi, Dario
2 Peri, Carla
2 Pfaff, Rainer
2 Pinkall, Ulrich
2 Ravani, Bahram
2 Sakaki, Makoto
2 Shonoda, Emad N.
2 Taş, Ferhat
2 Valiquette, Francis
2 van den Berg, Michiel
2 Verghese, George C.
2 Virtanen, Ari
2 Vrancken, Luc
2 Yücesan, Ahmet
1 Abali, Bahar
1 Abbasi, Sadegh
1 Abbena, Elsa
1 Abramovich, Shoshana
1 Agnew, Alfonso F.
1 Agop, Maricel
1 Ait-Haddou, Rachid
1 Akbaba, Özlem
1 Albers, Peter
1 Albrecht, Gudrun
1 Alzer, Horst
1 Angenent, Sigurd Bernardus
1 Arana, Andrew
1 Arnold, Maxim
1 Artstein, Zvi
1 Aslam, Jai
1 Asvadurov, Sergey
1 Auslander, Louis
1 Ayyildiz, Nihat
1 Bajaj, Chandrajit L.
1 Bates, Larry M.
1 Beardon, Alan Frank
1 Bishop, Richard L.
1 Blair, David E.
1 Bobe, Alexandru
1 Boskoff, Wladimir-Georges
1 Bright, Ido
1 Bru, Rafael
1 Buică, Adriana
1 Burdakov, Oleg P.
1 Butuc, Irina
1 Cai, Huahui
1 Carstensen, Carsten
1 Chan, Tony Fan-Cheong
1 Chen, Jie
1 Chen, Kathleen C.
1 Chen, Mou-Ta
1 Chen, Shujian
1 Chen, Xianghong
...and 245 more Authors
all top 5

Cited in 123 Serials

28 Computer Aided Geometric Design
16 Journal of Computational and Applied Mathematics
11 Proceedings of the American Mathematical Society
10 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Mathematical Analysis and Applications
6 Applied Mathematics and Computation
6 Journal of Geometry
6 Results in Mathematics
6 Linear Algebra and its Applications
5 Israel Journal of Mathematics
5 Journal of Differential Equations
5 Monatshefte für Mathematik
4 Advances in Mathematics
4 Geometriae Dedicata
4 Journal of Mathematical Psychology
4 Mathematische Annalen
4 Tôhoku Mathematical Journal. Second Series
4 Transactions of the American Mathematical Society
4 Journal of Symbolic Computation
4 Expositiones Mathematicae
4 Advances in Computational Mathematics
3 Computers & Mathematics with Applications
3 Mathematical Biosciences
3 Chaos, Solitons and Fractals
3 Archiv der Mathematik
3 Bulletin de la Société Mathématique de France
3 Manuscripta Mathematica
3 Discrete & Computational Geometry
3 Applied Mathematics Letters
3 Aequationes Mathematicae
2 Archive for History of Exact Sciences
2 Archive for Rational Mechanics and Analysis
2 Bulletin of the Australian Mathematical Society
2 Journal of the Franklin Institute
2 Rocky Mountain Journal of Mathematics
2 Journal of Geometry and Physics
2 The Mathematical Intelligencer
2 BIT
2 Computing
2 Journal of Functional Analysis
2 Mathematika
2 Theoretical Computer Science
2 Journal of Information & Optimization Sciences
2 Annals of Global Analysis and Geometry
2 Physica D
2 Journal of the American Mathematical Society
2 Differential Geometry and its Applications
2 Numerical Algorithms
2 Journal of Mathematical Imaging and Vision
2 Journal of Convex Analysis
2 International Journal of Geometric Methods in Modern Physics
2 Bulletin of the American Mathematical Society
2 International Electronic Journal of Geometry
2 Forum of Mathematics, Sigma
1 American Mathematical Monthly
1 Biological Cybernetics
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Mathematical Education in Science and Technology
1 International Journal of Theoretical Physics
1 Linear and Multilinear Algebra
1 Physics Letters. A
1 Psychometrika
1 Reports on Mathematical Physics
1 Rheologica Acta
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Mathematics of Computation
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Mathematical Bulletin
1 Dissertationes Mathematicae
1 Journal of Economic Theory
1 Journal of Multivariate Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Kodai Mathematical Journal
1 Numerische Mathematik
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 The Visual Computer
1 Journal of Scientific Computing
1 Computational Statistics
1 Annals of Physics
1 Historia Mathematica
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Pattern Recognition
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Transformation Groups
...and 23 more Serials
all top 5

Cited in 49 Fields

93 Differential geometry (53-XX)
64 Numerical analysis (65-XX)
58 Convex and discrete geometry (52-XX)
26 Geometry (51-XX)
23 Computer science (68-XX)
20 Partial differential equations (35-XX)
18 Ordinary differential equations (34-XX)
16 Global analysis, analysis on manifolds (58-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
12 Functions of a complex variable (30-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 History and biography (01-XX)
11 Functional analysis (46-XX)
9 Approximations and expansions (41-XX)
8 Real functions (26-XX)
6 Topological groups, Lie groups (22-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Field theory and polynomials (12-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Manifolds and cell complexes (57-XX)
5 Statistics (62-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Integral transforms, operational calculus (44-XX)
4 Mechanics of particles and systems (70-XX)
4 Fluid mechanics (76-XX)
4 Biology and other natural sciences (92-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Special functions (33-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Probability theory and stochastic processes (60-XX)
1 Optics, electromagnetic theory (78-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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