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Journal articles on the topic 'Differentialgeometrie'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

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1

Biquard, Olivier, Simon Brendle, and Bernhard Leeb. "Differentialgeometrie im Großen." Oberwolfach Reports 10, no. 3 (2013): 1929–74. http://dx.doi.org/10.4171/owr/2013/33.

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2

Besson, Gérard, Ursula Hamenstädt, and Michael Kapovich. "Differentialgeometrie im Großen." Oberwolfach Reports 12, no. 3 (2015): 1759–807. http://dx.doi.org/10.4171/owr/2015/31.

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3

Besson, Gérard, Ursula Hamenstädt, Michael Kapovich, and Ben Weinkove. "Differentialgeometrie im Großen." Oberwolfach Reports 14, no. 2 (April 27, 2018): 1917–71. http://dx.doi.org/10.4171/owr/2017/31.

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4

Besson, Gérard, Ursula Hamenstädt, Michael Kapovich, and Ben Weinkove. "Differentialgeometrie im Großen." Oberwolfach Reports 16, no. 2 (June 3, 2020): 1791–839. http://dx.doi.org/10.4171/owr/2019/30.

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5

Bamler, Richard, Ursula Hamenstädt, Urs Lang, and Ben Weinkove. "Differentialgeometrie im Grossen." Oberwolfach Reports 18, no. 3 (November 25, 2022): 1685–734. http://dx.doi.org/10.4171/owr/2021/32.

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6

Burghardt, R. "Gruppenwirkung und Differentialgeometrie." Annalen der Physik 502, no. 5 (1990): 383–90. http://dx.doi.org/10.1002/andp.19905020503.

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7

Bamler, Richard, Otis Chodosh, Urs Lang, and Ben Weinkove. "Differentialgeometrie im Grossen." Oberwolfach Reports 20, no. 3 (April 18, 2024): 1617–70. http://dx.doi.org/10.4171/owr/2023/29.

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8

Vincze, Stefan. "Bemerkungen zur Differentialgeometrie der Raumkurven." Publicationes Mathematicae Debrecen 4, no. 1-2 (July 1, 2022): 61–69. http://dx.doi.org/10.5486/pmd.1955.4.1-2.07.

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9

Jankovský, Zdeněk. "Laguerre's differential geometry and kinematics." Mathematica Bohemica 120, no. 1 (1995): 29–40. http://dx.doi.org/10.21136/mb.1995.125894.

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10

Voss, Konrad. "Einige Eindeutigkeitssätze in der Affinen Differentialgeometrie." Results in Mathematics 13, no. 3-4 (May 1988): 379–85. http://dx.doi.org/10.1007/bf03323253.

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11

Pabel, Helmut. "Translationsfl�chen in der �quiaffinen Differentialgeometrie." Journal of Geometry 40, no. 1-2 (April 1991): 148–64. http://dx.doi.org/10.1007/bf01225881.

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12

Brecher, Christian, Marcel Fey, and Maria Hildebrand. "Methode zur Bestimmung von Hauptkrümmungen in Wälzkontakten/Method for Calculating Main Curvatures in Rolling Contacts." Konstruktion 68, no. 11-12 (2016): 74–82. http://dx.doi.org/10.37544/0720-5953-2016-11-12-74.

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Inhalt: Die Lebensdauer von Maschinenkomponenten mit Wälzkontakten hängt im Wesentlichen von den Belastungen in den Kontaktpunkten ab, welche in den meisten Fällen mit der Hertzschen Theorie berechnet werden. Zur Anwendung der Hertzschen Theorie müssen unter anderem die Hauptkrümmungen im Kontaktpunkt bekannt sein. Für komplexere oder vermessene Komponentengeometrien können diese nicht direkt bestimmt werden, so dass in der Praxis die Hauptkrümmungen ausgehend von der Körpergeometrie angenähert werden. Mit dem vorgestellten Ansatz aus der Differentialgeometrie ist es möglich, für jede Komponentenoberfläche die realen Hauptkrümmungsradien in einem beliebigen Punkt zu bestimmen.

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13

Gackstatter, Fritz. "Methoden der Differentialgeometrie in Himmelsmechanik und Astronomie." Complex Variables, Theory and Application: An International Journal 47, no. 8 (August 2002): 663–66. http://dx.doi.org/10.1080/02781070290016313.

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14

Rapcsák, A. "Über die Begründung der lokalen metrischen Differentialgeometrie." Publicationes Mathematicae Debrecen 7, no. 1-4 (July 1, 2022): 382–93. http://dx.doi.org/10.5486/pmd.1960.7.1-4.35.

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15

Laugwitz, Detlef. "Eine Beziehung zwischen affiner und Minkowskischer Differentialgeometrie." Publicationes Mathematicae Debrecen 5, no. 1-2 (July 1, 2022): 72–76. http://dx.doi.org/10.5486/pmd.1957.5.1-2.08.

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16

Dudley Sylla, Edith. "Die Werke von Jakob Bernoulli. Vol. 5, Differentialgeometrie." Historia Mathematica 30, no. 3 (August 2003): 378–80. http://dx.doi.org/10.1016/s0315-0860(03)00045-4.

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17

Reich, Karin. "Das Eindringen des Vektorkalk�ls in die Differentialgeometrie." Archive for History of Exact Sciences 40, no. 3 (1989): 275–303. http://dx.doi.org/10.1007/bf00363552.

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18

Vančura, Zdeněk. "On the differential geometry of sphere and line manifolds in three-dimensional Euclidean space." Časopis pro pěstování matematiky 111, no. 3 (1986): 235–41. http://dx.doi.org/10.21136/cpm.1986.108158.

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19

Fraser, Craig. "Die Werke von Jakob Bernoulli: Die Differentialgeometrie. Jakob Bernoulli , André Weil , Martin Mattmüller." Isis 92, no. 1 (March 2001): 167–68. http://dx.doi.org/10.1086/385090.

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20

Vančura, Zdeněk. "The differential geometry of manifolds of $n$-dimensional balls and manifolds of straight lines in $n+1$-dimensional Euclidean space." Časopis pro pěstování matematiky 114, no. 1 (1989): 45–52. http://dx.doi.org/10.21136/cpm.1989.118366.

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21

Vančura, Zdeněk. "On the differential geometry of the $n$-dimensional sphere and line manifolds in the $(n+1)$-dimensional Euclidean space." Mathematica Bohemica 116, no. 1 (1991): 12–19. http://dx.doi.org/10.21136/mb.1991.126194.

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22

Dizioğlu, Bekir. "Erweiterung des Vierscheitelsatzes der Differentialgeometrie mit Anwendung in der Theorie der Koppelkurven der ebenen Getriebe." Forschung im Ingenieurwesen 54, no. 1 (January 1988): 9–15. http://dx.doi.org/10.1007/bf02574554.

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23

Shimada, Ichiro. "Zariski Hyperplane Section Theorem for Grassmannian Varieties." Canadian Journal of Mathematics 55, no. 1 (February 1, 2003): 157–80. http://dx.doi.org/10.4153/cjm-2003-007-9.

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AbstractLet ϕ: X → M be a morphism from a smooth irreducible complex quasi-projective variety X to a Grassmannian variety M such that the image is of dimension ≥ 2. Let D be a reduced hypersurface in M, and γ a general linear automorphism of M. We show that, under a certain differentialgeometric condition on ϕ(X) and D, the fundamental group π1((γ ○ ϕ)−1 (M \ D)) is isomorphic to a central extension of π1(M \ D) × π1(X) by the cokernel of π2(ϕ) : π2(X) → π2(M).

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24

Rummler, Hansklaus. "Bernoulli: Die gesammelten Werke der Mathematiker und Physiker der Familie Bernoulli. Hrsg. von der Naturforschenden Gesellschaft in Basel; Die Werke von Jakob Bernoulli, Band 5: Differentialgeometrie. Bearbeitet und kommentiert von André Weil (t) und Martin Mattmüller. Basel etc., Birkhäuser, 1999. XXV, 445 S. III. SFr. 298.-; DM 358.-. ISBN 3-7643-5779-7." Gesnerus 57, no. 1-2 (November 27, 2000): 106–7. http://dx.doi.org/10.1163/22977953-0570102016.

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25

Leeb, Bernhard, Paul Seidel, and Gang Tian. "Differentialgeometrie im Grossen." Oberwolfach Reports, 2005, 1983–2042. http://dx.doi.org/10.4171/owr/2005/35.

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26

Biquard, Olivier, Bruce Kleiner, Bernhard Leeb, and Gang Tian. "Differentialgeometrie im Grossen." Oberwolfach Reports, 2007, 1865–912. http://dx.doi.org/10.4171/owr/2007/32.

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27

Biquard, Olivier, Xiuxiong Chen, Bernhard Leeb, and Gang Tian. "Differentialgeometrie im Großen." Oberwolfach Reports, 2011, 1857–912. http://dx.doi.org/10.4171/owr/2011/33.

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28

Piechottka, U. "Anwendung der Differentialgeometrie am Beispiel der Steuerbarkeit streng bilinearer Systeme." at - Automatisierungstechnik 36, no. 1-12 (January 1988). http://dx.doi.org/10.1524/auto.1988.36.112.150.

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29

Clelland, Jeanne N., Taylor J. Klotz, and Peter J. Vassiliou. "Dynamic Feedback Linearization of Control Systems with Symmetry." Symmetry, Integrability and Geometry: Methods and Applications, July 1, 2024. http://dx.doi.org/10.3842/sigma.2024.058.

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Control systems of interest are often invariant under Lie groups of transformations. For such control systems, a geometric framework based on Lie symmetry is formulated, and from this a sufficient condition for dynamic feedback linearizability obtained. Additionally, a systematic procedure for obtaining all the smooth, generic system trajectories is shown to follow from the theory. Besides smoothness and the existence of symmetry, no further assumption is made on the local form of a control system, which is therefore permitted to be fully nonlinear and time varying. Likewise, no constraints are imposed on the local form of the dynamic compensator. Particular attention is given to the consideration of geometric (coordinate independent) structures associated to control systems with symmetry. To show how the theory is applied in practice we work through illustrative examples of control systems, including the vertical take-off and landing system, demonstrating the significant role that Lie symmetry plays in dynamic feedback linearization. Besides these, a number of more elementary pedagogical examples are discussed as an aid to reading the paper. The constructions have been automated in the Maple package DifferentialGeometry.

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30

Ibbini∗, M. S. "NONLINEAR DIFFERENTIALGEOMETRIC TECHNIQUE FOR THE CONTROL OF DC-MACHINES WITH ONLINE PARAMETERS ESTIMATION." International Journal of Modelling and Simulation 27, no. 1 (2007). http://dx.doi.org/10.2316/journal.205.2007.1.205-4423.

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