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Henry C. Wente

January 01, 1970

Henry Christian Wente (August 18, 1936 – January 20, 2020)[1] was an American mathematician, known for his 1986 discovery of the Wente torus, an immersed constant-mean-curvature surface whose existence disproved a conjecture of Heinz Hopf.[2][3]

Wente obtained both his bachelor's degree and his Ph.D. from Harvard University.[1] He completed his doctorate in 1966, under the supervision of Garrett Birkhoff.[4] He was a distinguished professor emeritus of mathematics at the University of Toledo, which he joined in 1971.[1] In 1986 he was an Invited Speaker at the International Congress of Mathematicians (ICM) in Berkeley, California.[5] In 2012 he became a fellow of the American Mathematical Society.[6]

Selected publications edit

Articles edit

  • —— (1971). "An existence theorem for surfaces of constant mean curvature". Bulletin of the American Mathematical Society. 77 (2): 200–203. doi:10.1090/S0002-9904-1971-12679-4. MR 0268743.
  • —— (1971). "A general existence theorem for surfaces of constant mean curvature". Mathematische Zeitschrift. 120 (3): 277–288. doi:10.1007/BF01117500.
  • Hildebrandt, S.; —— (1973). "Variational problems with obstacles and a volume constraint". Mathematische Zeitschrift. 135: 55–68. doi:10.1007/BF01214305.
  • —— (1974). "The Dirichlet problem with a volume constraint". Manuscripta Mathematica. 11 (2): 141–157. doi:10.1007/BF01184954.
  • —— (1975). "The differential equation  x=2H(xu   xv) with vanishing boundary values". Proceedings of the American Mathematical Society. 50 (1): 131–137. doi:10.2307/2040528. MR 0374673.
  • Steffen, Klaus; —— (1978). "The non-existence of branch points in solutions to certain classes of plateau type variational problems". Mathematische Zeitschrift. 163 (3): 211–238. doi:10.1007/BF01174896.
  • —— (1980). "Large solutions to the volume constrained plateau problem". Archive for Rational Mechanics and Analysis. 75 (1): 59–77. Bibcode:1980ArRMA..75...59W. doi:10.1007/BF00284621.
  • —— (1982). "The symmetry of rotating fluid bodies". Manuscripta Mathematica. 39 (2–3): 287–296. doi:10.1007/BF01165793.
  • —— (1985). "A counterexample in 3-space to a conjecture of H. Hopf". Arbeitstagung Bonn 1984. Lecture Notes in Mathematics. Vol. 1111. pp. 421–429. doi:10.1007/BFb0084601. ISBN 978-3-540-15195-1.
  • —— (1987). "Immersed Tori of Constant Mean Curvature in  ". Variational Methods for Free Surface Interfaces. pp. 13–26. doi:10.1007/978-1-4612-4656-5_2. ISBN 978-1-4612-9101-5.
  • —— (1987). "Twisted Tori of Constant Mean Curvature in  ". Seminar on New Results in Nonlinear Partial Differential Equations. pp. 1–36. doi:10.1007/978-3-322-85049-2_1. ISBN 978-3-322-85051-5.
  • Sterling, I.; —— (1993). "Existence and Classification of Constant Mean Curvature Multibubbletons of Finite and Infinite Type". Indiana University Mathematics Journal. 42 (4): 1239–1266. doi:10.1512/iumj.1993.42.42057. JSTOR 24897145.
  • —— (1995). "The capillary problem for an infinite trough". Calculus of Variations and Partial Differential Equations. 3 (2): 155–192. doi:10.1007/BF01205004.
  • —— (1999). "A surprising bubble catastrophe". Pacific Journal of Mathematics. 189 (2): 339–375. doi:10.2140/pjm.1999.189.339.
  • —— (2002). "Constant mean curvature surfaces of annular type". Calculus of Variations and Partial Differential Equations. 14 (2): 193–211. doi:10.1007/s005260100097.
  • —— (2008). "The Floating Ball Paradox". Journal of Mathematical Fluid Mechanics. 10 (4): 569–582. Bibcode:2008JMFM...10..569W. doi:10.1007/s00021-007-0251-0.
  • —— (2011). "Exotic Capillary Tubes". Journal of Mathematical Fluid Mechanics. 13 (3): 355–370. Bibcode:2011JMFM...13..355W. doi:10.1007/s00021-010-0027-9.

Books edit

  • —— (1992). Constant Mean Curvature Immersions of Enneper Type. American Mathematical Soc. ISBN 978-0-8218-2536-5.

References edit

  1. ^ a b c Zaborney, Mark (January 24, 2020), "Henry C. Wente (1936-2020): UT professor known in mathematics for soap bubble curvature research", Toledo Blade
  2. ^ Wente, Henry C. (1986), "Counterexample to a conjecture of H. Hopf.", Pacific Journal of Mathematics, 121: 193–243, doi:10.2140/pjm.1986.121.193
  3. ^ The Wente torus, University of Toledo Mathematics Department, retrieved 2013-09-01.
  4. ^ Henry C. Wente at the Mathematics Genealogy Project
  5. ^ "Wente, H. C." ICM Plenary and Invited Speakers.
  6. ^ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.


    

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January 01, 1970
henry, wente, henry, christian, wente, august, 1936, january, 2020, american, mathematician, known, 1986, discovery, wente, torus, immersed, constant, mean, curvature, surface, whose, existence, disproved, conjecture, heinz, hopf, wente, obtained, both, bachel. Henry Christian Wente August 18 1936 January 20 2020 1 was an American mathematician known for his 1986 discovery of the Wente torus an immersed constant mean curvature surface whose existence disproved a conjecture of Heinz Hopf 2 3 Wente obtained both his bachelor s degree and his Ph D from Harvard University 1 He completed his doctorate in 1966 under the supervision of Garrett Birkhoff 4 He was a distinguished professor emeritus of mathematics at the University of Toledo which he joined in 1971 1 In 1986 he was an Invited Speaker at the International Congress of Mathematicians ICM in Berkeley California 5 In 2012 he became a fellow of the American Mathematical Society 6 Contents 1 Selected publications 1 1 Articles 1 2 Books 2 ReferencesSelected publications editArticles edit 1971 An existence theorem for surfaces of constant mean curvature Bulletin of the American Mathematical Society 77 2 200 203 doi 10 1090 S0002 9904 1971 12679 4 MR 0268743 1971 A general existence theorem for surfaces of constant mean curvature Mathematische Zeitschrift 120 3 277 288 doi 10 1007 BF01117500 Hildebrandt S 1973 Variational problems with obstacles and a volume constraint Mathematische Zeitschrift 135 55 68 doi 10 1007 BF01214305 1974 The Dirichlet problem with a volume constraint Manuscripta Mathematica 11 2 141 157 doi 10 1007 BF01184954 1975 The differential equation D displaystyle Delta nbsp x 2H xu displaystyle wedge nbsp xv with vanishing boundary values Proceedings of the American Mathematical Society 50 1 131 137 doi 10 2307 2040528 MR 0374673 Steffen Klaus 1978 The non existence of branch points in solutions to certain classes of plateau type variational problems Mathematische Zeitschrift 163 3 211 238 doi 10 1007 BF01174896 1980 Large solutions to the volume constrained plateau problem Archive for Rational Mechanics and Analysis 75 1 59 77 Bibcode 1980ArRMA 75 59W doi 10 1007 BF00284621 1982 The symmetry of rotating fluid bodies Manuscripta Mathematica 39 2 3 287 296 doi 10 1007 BF01165793 1985 A counterexample in 3 space to a conjecture of H Hopf Arbeitstagung Bonn 1984 Lecture Notes in Mathematics Vol 1111 pp 421 429 doi 10 1007 BFb0084601 ISBN 978 3 540 15195 1 1987 Immersed Tori of Constant Mean Curvature in R 3 displaystyle mathbb R 3 nbsp Variational Methods for Free Surface Interfaces pp 13 26 doi 10 1007 978 1 4612 4656 5 2 ISBN 978 1 4612 9101 5 1987 Twisted Tori of Constant Mean Curvature in R 3 displaystyle mathbb R 3 nbsp Seminar on New Results in Nonlinear Partial Differential Equations pp 1 36 doi 10 1007 978 3 322 85049 2 1 ISBN 978 3 322 85051 5 Sterling I 1993 Existence and Classification of Constant Mean Curvature Multibubbletons of Finite and Infinite Type Indiana University Mathematics Journal 42 4 1239 1266 doi 10 1512 iumj 1993 42 42057 JSTOR 24897145 1995 The capillary problem for an infinite trough Calculus of Variations and Partial Differential Equations 3 2 155 192 doi 10 1007 BF01205004 1999 A surprising bubble catastrophe Pacific Journal of Mathematics 189 2 339 375 doi 10 2140 pjm 1999 189 339 2002 Constant mean curvature surfaces of annular type Calculus of Variations and Partial Differential Equations 14 2 193 211 doi 10 1007 s005260100097 2008 The Floating Ball Paradox Journal of Mathematical Fluid Mechanics 10 4 569 582 Bibcode 2008JMFM 10 569W doi 10 1007 s00021 007 0251 0 2011 Exotic Capillary Tubes Journal of Mathematical Fluid Mechanics 13 3 355 370 Bibcode 2011JMFM 13 355W doi 10 1007 s00021 010 0027 9 Books edit 1992 Constant Mean Curvature Immersions of Enneper Type American Mathematical Soc ISBN 978 0 8218 2536 5 References edit a b c Zaborney Mark January 24 2020 Henry C Wente 1936 2020 UT professor known in mathematics for soap bubble curvature research Toledo Blade Wente Henry C 1986 Counterexample to a conjecture of H Hopf Pacific Journal of Mathematics 121 193 243 doi 10 2140 pjm 1986 121 193 The Wente torus University of Toledo Mathematics Department retrieved 2013 09 01 Henry C Wente at the Mathematics Genealogy Project Wente H C ICM Plenary and Invited Speakers List of Fellows of the American Mathematical Society retrieved 2013 09 01 nbsp nbsp nbsp This article about an American mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Henry C Wente amp oldid 1217785935, wikipedia, wiki, book, books, library,

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