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Willmore, Tom J.

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Author ID: willmore.tom-j Recent zbMATH articles by "Willmore, Tom J."
Published as: Willmore, T. J.; Willmore, T.-J.; Willmore, Tom; Willmore, Tom J.
Documents Indexed: 60 Publications since 1948, including 5 Books

Co-Authors

5 single-authored

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 574 times in 495 Documents Cited by Year
Riemannian geometry. Zbl 0797.53002
Willmore, T. J.
110
1993
An introduction to differential geometry. Zbl 0086.14401
Willmore, T. J.
80
1959
Total curvature in Riemannian geometry. Zbl 0501.53038
Willmore, T. J.
66
1982
Harmonic spaces. Zbl 0134.39202
Ruse, H. S.; Walker, A. G.; Willmore, T. J.
51
1961
Note on embedded surfaces. Zbl 0171.20001
Willmore, T. J.
42
1965
Mean-value theorems for Riemannian manifolds. Zbl 0495.53040
Gray, A.; Willmore, T. J.
26
1982
The curvature of Einstein symmetric spaces. Zbl 0509.53045
Carpenter, P.; Gray, A.; Willmore, T. J.
23
1982
Mean value theorems in harmonic Riemannian spaces. Zbl 0036.23403
Willmore, T. J.
19
1950
Interaction of tubes and spheres. Zbl 0491.53034
Vanhecke, Lieven; Willmore, T. J.
18
1983
Mean curvature of immersed surfaces. Zbl 0163.43002
Willmore, T. J.
14
1968
The total absolute curvature of immersed manifolds. Zbl 0136.42902
Willmore, T. J.; Saleemi, B. A.
12
1966
Surfaces in conformal geometry. Zbl 0978.53025
Willmore, T. J.
11
2000
Conformal geometry. Zbl 0665.53048
Pedit, F. J.; Willmore, T. J.
11
1988
Mean curvature of Riemannian immersions. Zbl 0208.49802
Willmore, T. J.
11
1971
Connexions for systems of parallel distributions. Zbl 0074.38001
Willmore, T. J.
8
1956
Jacobi fields and geodesic spheres. Zbl 0408.53011
Vanhecke, Lieven; Willmore, T. J.
7
1979
The definition of Lie derivative. Zbl 0094.16004
Willmore, T. J.
6
1960
A survey on Willmore immersions. Zbl 0841.53051
Willmore, T. J.
5
1992
The distribution of stress in the neighbourhood of a crack. Zbl 0033.31403
Willmore, T. J.
5
1949
Riemann extensions of d’Atri spaces. Zbl 0505.53016
Vanhecke, Lieven; Willmore, T. J.
4
1982
An extension of a result of Bang-Yen Chen. Zbl 0238.53032
Willmore, T. J.; Jhaveri, Charu S.
4
1972
k-harmonic symmetric manifolds. Zbl 0209.25302
Willmore, T. J.; El Hadi, K.
4
1970
2-point invariant functions and \(k\)-harmonic manifolds. Zbl 0169.53302
Willmore, T. J.
4
1968
Note on the Slebodzinski tensor of an almost-complex structure. Zbl 0155.49804
Willmore, T. J.
4
1968
Parallel distributions on manifolds. Zbl 0070.38804
Willmore, T. J.
4
1956
Riemann extensions and affine differential geometry. Zbl 0647.53008
Willmore, Tom
3
1988
Connexions associated with foliated structures. Zbl 0123.38803
Willmore, T. J.
3
1964
Derivations and vector 1-forms. Zbl 0095.36801
Willmore, T. J.
3
1960
Curves. Zbl 0968.53004
Willmore, Tom
2
2000
Total mean curvature squared of surfaces. Zbl 0978.53027
Willmore, T. J.
2
1996
Global Riemannian geometry. (Proceedings of the Symposium on Global Riemannian Geometry, held at the University of Durham in July 1982 (1983?)). Zbl 0614.00017
Willmore, T. J. (ed.); Hitchin, Nigel J. (ed.)
2
1984
The Poincaré lemma associated with certain derivations. Zbl 0112.38302
Willmore, T. J.
2
1962
The sign of the curvature tensor in Riemannian geometry. Zbl 1117.53017
Willmore, Tom J.
1
2004
Mean curvature of immersed manifolds. Zbl 0339.53005
Willmore, T. J.
1
1976
Minimal conformal immersions. Zbl 0287.53036
Willmore, T. J.
1
1974
Tight immersions and total absolute curvature. Zbl 0217.19001
Willmore, T. J.
1
1971
Curvature of closed surfaces in \(E^ 3\). Zbl 0174.53201
Willmore, T. J.
1
1968
Systems of parallel distributions. Zbl 0091.35201
Willmore, T. J.
1
1957
On compact Riemannian manifolds with zero Ricci curvature. Zbl 0071.15101
Willmore, T. J.
1
1956
Les plans parallèles dans les espaces riemanniens globaux. Zbl 0045.25202
Willmore, T.-J.
1
1951
The sign of the curvature tensor in Riemannian geometry. Zbl 1117.53017
Willmore, Tom J.
1
2004
Surfaces in conformal geometry. Zbl 0978.53025
Willmore, T. J.
11
2000
Curves. Zbl 0968.53004
Willmore, Tom
2
2000
Total mean curvature squared of surfaces. Zbl 0978.53027
Willmore, T. J.
2
1996
Riemannian geometry. Zbl 0797.53002
Willmore, T. J.
110
1993
A survey on Willmore immersions. Zbl 0841.53051
Willmore, T. J.
5
1992
Conformal geometry. Zbl 0665.53048
Pedit, F. J.; Willmore, T. J.
11
1988
Riemann extensions and affine differential geometry. Zbl 0647.53008
Willmore, Tom
3
1988
Global Riemannian geometry. (Proceedings of the Symposium on Global Riemannian Geometry, held at the University of Durham in July 1982 (1983?)). Zbl 0614.00017
Willmore, T. J. (ed.); Hitchin, Nigel J. (ed.)
2
1984
Interaction of tubes and spheres. Zbl 0491.53034
Vanhecke, Lieven; Willmore, T. J.
18
1983
Total curvature in Riemannian geometry. Zbl 0501.53038
Willmore, T. J.
66
1982
Mean-value theorems for Riemannian manifolds. Zbl 0495.53040
Gray, A.; Willmore, T. J.
26
1982
The curvature of Einstein symmetric spaces. Zbl 0509.53045
Carpenter, P.; Gray, A.; Willmore, T. J.
23
1982
Riemann extensions of d’Atri spaces. Zbl 0505.53016
Vanhecke, Lieven; Willmore, T. J.
4
1982
Jacobi fields and geodesic spheres. Zbl 0408.53011
Vanhecke, Lieven; Willmore, T. J.
7
1979
Mean curvature of immersed manifolds. Zbl 0339.53005
Willmore, T. J.
1
1976
Minimal conformal immersions. Zbl 0287.53036
Willmore, T. J.
1
1974
An extension of a result of Bang-Yen Chen. Zbl 0238.53032
Willmore, T. J.; Jhaveri, Charu S.
4
1972
Mean curvature of Riemannian immersions. Zbl 0208.49802
Willmore, T. J.
11
1971
Tight immersions and total absolute curvature. Zbl 0217.19001
Willmore, T. J.
1
1971
k-harmonic symmetric manifolds. Zbl 0209.25302
Willmore, T. J.; El Hadi, K.
4
1970
Mean curvature of immersed surfaces. Zbl 0163.43002
Willmore, T. J.
14
1968
2-point invariant functions and \(k\)-harmonic manifolds. Zbl 0169.53302
Willmore, T. J.
4
1968
Note on the Slebodzinski tensor of an almost-complex structure. Zbl 0155.49804
Willmore, T. J.
4
1968
Curvature of closed surfaces in \(E^ 3\). Zbl 0174.53201
Willmore, T. J.
1
1968
The total absolute curvature of immersed manifolds. Zbl 0136.42902
Willmore, T. J.; Saleemi, B. A.
12
1966
Note on embedded surfaces. Zbl 0171.20001
Willmore, T. J.
42
1965
Connexions associated with foliated structures. Zbl 0123.38803
Willmore, T. J.
3
1964
The Poincaré lemma associated with certain derivations. Zbl 0112.38302
Willmore, T. J.
2
1962
Harmonic spaces. Zbl 0134.39202
Ruse, H. S.; Walker, A. G.; Willmore, T. J.
51
1961
The definition of Lie derivative. Zbl 0094.16004
Willmore, T. J.
6
1960
Derivations and vector 1-forms. Zbl 0095.36801
Willmore, T. J.
3
1960
An introduction to differential geometry. Zbl 0086.14401
Willmore, T. J.
80
1959
Systems of parallel distributions. Zbl 0091.35201
Willmore, T. J.
1
1957
Connexions for systems of parallel distributions. Zbl 0074.38001
Willmore, T. J.
8
1956
Parallel distributions on manifolds. Zbl 0070.38804
Willmore, T. J.
4
1956
On compact Riemannian manifolds with zero Ricci curvature. Zbl 0071.15101
Willmore, T. J.
1
1956
Les plans parallèles dans les espaces riemanniens globaux. Zbl 0045.25202
Willmore, T.-J.
1
1951
Mean value theorems in harmonic Riemannian spaces. Zbl 0036.23403
Willmore, T. J.
19
1950
The distribution of stress in the neighbourhood of a crack. Zbl 0033.31403
Willmore, T. J.
5
1949
all top 5

Cited by 656 Authors

24 Vanhecke, Lieven
12 Kowalski, Oldřich
8 Mondino, Andrea
8 Xu, Guoliang
7 Barros, Manuel
7 Chen, Bang-Yen
7 Guo, Zhen
7 Watanabe, Yoshiyuki
6 Schatzle, Reiner
5 Abdel-All, Nassar Hassan
5 Bejan, Cornelia-Livia
5 Düldül, Mustafa
5 García-Río, Eduardo
5 Park, Jeonghyeong
5 Wei, Guowei
4 Mazzieri, Lorenzo
4 Prüfer, Friedbert
4 Sekigawa, Kouei
4 Teufel, Eberhard
4 Wang, Changping
4 Wheeler, Glen E.
3 Agostiniani, Virginia
3 Aléssio, Osmar
3 Arroja Neves, André
3 Badr, Sayed Abdel-Naeim
3 Barrett, John W.
3 Blair, David E.
3 Chen, Zhan
3 Csikós, Balázs
3 Dall’Acqua, Anna
3 Du, Qiang
3 Düldül, Bahar Uyar
3 Elliott, Charles M.
3 Garay, Oscar Jesus
3 Garcke, Harald
3 Grunau, Hans-Christoph
3 Günther, Paul
3 Horváth, Márton
3 Koike, Naoyuki
3 Li, Haizhong
3 Li, Tongzhu
3 Marques, Fernando Codá
3 Moser, Roger
3 Nürnberg, Robert
3 Pinkall, Ulrich
3 Rizza, Giovanni Battista
3 Schygulla, Johannes
3 Sicbaldi, Pieralberto
3 Tang, Zizhou
3 Tricerri, Franco
3 Vázquez Abal, María Elena
3 Wang, Xiaoqiang
3 Yan, Wenjiao
3 Yano, Kentaro
3 Zhang, Qin
2 Abd-Ellah, Hambdy N.
2 Abdel-Baky, Rashad A.
2 Arroyo, Josu J.
2 Bartels, Sören
2 Bayram, Ergin
2 Belger, Martin
2 Bergner, Matthias
2 Berndt, Jürgen
2 Bohle, Christoph
2 Bonito, Andrea
2 Bracken, Paul Francis
2 Caballero, Magdalena
2 Caelli, Terry M.
2 Casey, James
2 Cattaneo Gasparini, Ida
2 Chun, Sun Hyang
2 Ćirić, Marija S.
2 Davidov, Johann T.
2 Deckelnick, Klaus
2 Druetta, Maria J.
2 Efrati, Efi
2 Eichmann, Sascha
2 Farouki, Rida T.
2 Ferone, Vincenzo
2 Fogagnolo, Mattia
2 Gezer, Aydin
2 Gover, Ashwin Rod
2 Gürses, Metin
2 Guven, Jemal
2 Haji-Badali, Ali
2 Hobbs, Graham
2 Izumiya, Shyuichi
2 Jana, Shreyasi
2 Jian, Huai-Yu
2 Kasap, Emin
2 Kawohl, Bernd
2 Knieper, Gerhard
2 Kôzaki, Masanori
2 Kühnel, Wolfgang
2 Kuwert, Ernst Christoph
2 Lachaud, Jacques-Olivier
2 Langevin, Rémi
2 Lin, Chun-Chi
2 Lin, Limiao
2 Liu, Chun
...and 556 more Authors
all top 5

Cited in 162 Serials

22 Computer Aided Geometric Design
19 Journal of Computational Physics
19 Journal of Geometry and Physics
18 Differential Geometry and its Applications
16 Mathematische Zeitschrift
11 Journal of Mathematical Analysis and Applications
11 Czechoslovak Mathematical Journal
11 Mathematische Annalen
10 Transactions of the American Mathematical Society
10 Annals of Global Analysis and Geometry
10 Kodai Mathematical Seminar Reports
9 Communications in Mathematical Physics
9 Tohoku Mathematical Journal. Second Series
9 Calculus of Variations and Partial Differential Equations
8 Archive for Rational Mechanics and Analysis
8 Proceedings of the American Mathematical Society
8 The Journal of Geometric Analysis
7 Results in Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Geometry
6 Kodai Mathematical Journal
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Mathematische Nachrichten
4 Computers & Mathematics with Applications
4 General Relativity and Gravitation
4 Advances in Mathematics
4 Archiv der Mathematik
4 Compositio Mathematica
4 Journal of Computational and Applied Mathematics
4 Manuscripta Mathematica
4 Monatshefte für Mathematik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Journal of Elasticity
4 Acta Mathematica Sinica. English Series
4 Advances in Geometry
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Mediterranean Journal of Mathematics
3 International Journal of Engineering Science
3 Journal of Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Mathematics of Computation
3 Applied Mathematics and Computation
3 Geometriae Dedicata
3 Inventiones Mathematicae
3 Journal of Differential Equations
3 Journal of Functional Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Applied Numerical Mathematics
3 Journal of Mathematical Imaging and Vision
3 Journal of High Energy Physics
3 Journal of the Australian Mathematical Society
3 International Journal of Geometric Methods in Modern Physics
2 International Journal of Mathematical Education in Science and Technology
2 Israel Journal of Mathematics
2 Journal of the Mechanics and Physics of Solids
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Letters. A
2 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Duke Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Numerische Mathematik
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Rendiconti del Seminario Matematico della Università di Padova
2 Acta Mathematica Hungarica
2 Physica D
2 Engineering with Computers
2 Historia Mathematica
2 Journal of Nonlinear Science
2 Potential Analysis
2 Mathematics and Mechanics of Solids
2 Journal of Nonlinear Mathematical Physics
2 Communications on Pure and Applied Analysis
2 International Journal of Fracture
2 Bulletin of the American Mathematical Society
2 Frontiers of Mathematics in China
2 Advances in Calculus of Variations
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
...and 62 more Serials
all top 5

Cited in 46 Fields

327 Differential geometry (53-XX)
69 Partial differential equations (35-XX)
67 Global analysis, analysis on manifolds (58-XX)
58 Calculus of variations and optimal control; optimization (49-XX)
58 Numerical analysis (65-XX)
40 Mechanics of deformable solids (74-XX)
19 Fluid mechanics (76-XX)
19 Biology and other natural sciences (92-XX)
15 Dynamical systems and ergodic theory (37-XX)
12 Quantum theory (81-XX)
12 Relativity and gravitational theory (83-XX)
11 Manifolds and cell complexes (57-XX)
9 Computer science (68-XX)
8 Mechanics of particles and systems (70-XX)
7 Potential theory (31-XX)
7 Ordinary differential equations (34-XX)
7 Approximations and expansions (41-XX)
7 Convex and discrete geometry (52-XX)
7 Probability theory and stochastic processes (60-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Geometry (51-XX)
5 Functions of a complex variable (30-XX)
5 Abstract harmonic analysis (43-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Operations research, mathematical programming (90-XX)
4 Real functions (26-XX)
4 Operator theory (47-XX)
4 Optics, electromagnetic theory (78-XX)
3 Statistics (62-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Functional analysis (46-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

Citations by Year