Academic literature on the topic 'Congruences (Geometry) Geometry, Differential'

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Journal articles on the topic "Congruences (Geometry) Geometry, Differential"

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Иванов, Геннадий, and Gennadiy Ivanov. "Construction of Belonging to Surfaces One-Dimensional Contours by Mapping Them to a Plane." Geometry & Graphics 6, no. 1 (2018): 3–9. http://dx.doi.org/10.12737/article_5ad07ed61bc114.52669586.

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As is known, differential geometry studies the properties of curve lines (tangent, curvature, torsion), surfaces (bending, first and second basic quadratic forms) and their families in small, that is, in the neighborhood of the point by means of differential calculus. Algebraic geometry studies properties of algebraic curves, surfaces, and algebraic varieties in general [1; 17]: order, class, genre, existence of singular points and lines, curves and surfaces family intersections (sheaves, bundles, congruences, complexes and their characteristics). Rational curves and surfaces occupy a special
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Alluhaibi, Nadia, and R. A. Abdel-Baky. "On the one-parameter Lorentzian spatial motions." International Journal of Geometric Methods in Modern Physics 16, no. 12 (2019): 1950197. http://dx.doi.org/10.1142/s0219887819501974.

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In this paper, differential properties of the one-parameter Lorentzian spatial motions are developed with explicit expressions independent of coordinates systems. In term of this, we calculate the Disteli formulae of a spacelike line trajectory and derive the connections with kinematic geometry of the axodes. Lastly, a theoretical expression of a spacelike inflection line congruence are investigated in detail.
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Умбетов, Nurlan Umbetov, Джанабаев, and Zh Dzhanabaev. "On Algorithms of Graphical Plotting of Geodesic Line on a Ruled Surface." Geometry & Graphics 3, no. 4 (2015): 15–18. http://dx.doi.org/10.12737/17346.

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Geodesic lines find interesting applications when solving many tasks of fundamental sciences (mathematicians, physics, etc.) and engineering practice. In differential geometry geodesic lines are characteristic lines for determination of internal properties of surface. However, the construction of geodesic line on a surface presents certain complications, mainly solved by the methods of calculating mathematics and descriptive geometry. In this article the development of a simple and comfortable algorithm of construction of geodesic line is considered on linear surfaces. In general case, the spa
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Willmore, T. J. "DIFFERENTIAL GEOMETRY." Bulletin of the London Mathematical Society 21, no. 1 (1989): 103–4. http://dx.doi.org/10.1112/blms/21.1.103.

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Landsberg, J. M. "differential geometry." Duke Mathematical Journal 85, no. 3 (1996): 605–34. http://dx.doi.org/10.1215/s0012-7094-96-08523-3.

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Trautman, Andrzej, William L. Burke, and Emil Kazes. "Differential Geometry for Physicists and Applied Differential Geometry." Physics Today 39, no. 5 (1986): 88–90. http://dx.doi.org/10.1063/1.2815009.

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Grünberg, Daniel B., Pieter Moree, and Don Zagier. "Sequences of Enumerative Geometry: Congruences and Asymptotics." Experimental Mathematics 17, no. 4 (2008): 409–26. http://dx.doi.org/10.1080/10586458.2008.10128870.

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Bobenko, Alexander, Richard Kenyon, Peter Schröder, and Günter Ziegler. "Discrete Differential Geometry." Oberwolfach Reports 9, no. 3 (2012): 2077–137. http://dx.doi.org/10.4171/owr/2012/34.

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Bobenko, Alexander, Richard Kenyon, and Peter Schröder. "Discrete Differential Geometry." Oberwolfach Reports 12, no. 1 (2015): 661–729. http://dx.doi.org/10.4171/owr/2015/13.

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Giblin, Peter, and Andrew Pressley. "Elementary Differential Geometry." Mathematical Gazette 85, no. 503 (2001): 372. http://dx.doi.org/10.2307/3622071.

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Dissertations / Theses on the topic "Congruences (Geometry) Geometry, Differential"

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Sijbrandij, Klass Rienk. "The Toda equations and congruence in flag manifolds." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4516/.

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This thesis is concerned with the 2-dimensional Toda equations and their geometric interpretation in form of r-adapted maps into flag manifolds, r-adapted maps are not only of interest due to their relation with the Toda equations, but also for their adaption to the m-synametric space structure of flag manifolds. This thesis studies the congruence question for r-adapted maps in flag manifolds. The main theorem of this thesis is a congruence theorem for г-holomorphic maps Ψ : S(^2) → G/T of constant curvature, where G can be any compact simple Lie group. It is supplemented by a congruence theor
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Whiteway, L. "Topics in differential geometry." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379896.

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Ward, Thomas. "K1-congruences between L-values of elliptic curves." Thesis, University of Nottingham, 2009. http://eprints.nottingham.ac.uk/10766/.

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We study the L-values of an elliptic curve twisted by an Artin representation. Specifically, we consider the case in which the representation factors through a false Tate curve extension of Q. First, we consider a semistable elliptic curve E; we construct an integral-valued p-adic measure which interpolates the values the L-values of an Artin twist of E, at a family of finite-order character twists. To do this, we exploit the fact that such an L-value may be written as the Rankin convolution of two Hilbert modular forms, when the representation factors through the false Tate curve extension. R
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Taylor, Thomas E. "Differential geometry of Minkowski spaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq24990.pdf.

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Lenssen, Mark. "A topic in differential geometry." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.314920.

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Guo, Guang-Yuan. "Differential geometry of holomorphic bundles." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239283.

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Hale, Mark. "Developments in noncommutative differential geometry." Thesis, Durham University, 2002. http://etheses.dur.ac.uk/3948/.

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One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced by some sort of algebraic structure. Noncommutative geometry is a possible candidate for the mathematics of this structure. However, physical theories on noncommutative spaces are still essentially classical and need to be quantised. We present a path integral formalism for quantising gravity in the form of the spectral action. Our basic princi
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Bartocci, C. "Foundations of graded differential geometry." Thesis, University of Warwick, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386972.

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Zharkov, Sergei. "Conic structures in differential geometry." Thesis, Connect to e-thesis, 2000. http://theses.gla.ac.uk/1005/.

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Thesis (Ph.D.) -- University of Glasgow, 2000.<br>Includes bibliographical references (p.86-88). Print version also available. Mode of access : World Wide Web. System requirements : Adobe Acrobat reader required to view PDF document.
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Mazenc, Edward A. "Multifield inflation and differential geometry." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/83809.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2013.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 63-67).<br>Cosmic inflation posits that the universe underwent a period of exponential expansion, driven by one or several quantum fields, shortly after the Big Bang. Renormalization requires the fields be non-minimally coupled to gravity. We examine such multifield models and find a rich geometric structure. After a conformal transformation of spacetime, the target field-space acquires non-trivial curvature. We explore two main co
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Books on the topic "Congruences (Geometry) Geometry, Differential"

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Greene, Robert, and Shing-Tung Yau, eds. Differential Geometry: Riemannian Geometry. American Mathematical Society, 1993. http://dx.doi.org/10.1090/pspum/054.3.

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Okubo, Tanjiro. Differential geometry. M. Dekker, 1987.

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Differential geometry. Dover Publications, 2008.

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Differential geometry. Dover Publications, 1991.

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Stoker, J. J. Differential Geometry. John Wiley & Sons, Inc., 1988. http://dx.doi.org/10.1002/9781118165461.

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Epstein, Marcelo. Differential Geometry. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06920-3.

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Berger, Marcel, and Bernard Gostiaux. Differential Geometry. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-1033-7.

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Tu, Loring W. Differential Geometry. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55084-8.

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Carreras, Francisco J., Olga Gil-Medrano, and Antonio M. Naveira, eds. Differential Geometry. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086407.

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Hansen, Vagn Lundsgaard, ed. Differential Geometry. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078607.

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Book chapters on the topic "Congruences (Geometry) Geometry, Differential"

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Stienstra, Jan. "The Generalized De Rham-Witt Complex and Congruence Differential Equations." In Arithmetic Algebraic Geometry. Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0457-2_16.

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Bullo, Francesco, and Andrew D. Lewis. "Differential geometry." In Texts in Applied Mathematics. Springer New York, 2005. http://dx.doi.org/10.1007/978-1-4899-7276-7_3.

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Seiler, Werner M. "Differential Geometry." In Involution. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01287-7_13.

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Stillwell, John. "Differential Geometry." In Undergraduate Texts in Mathematics. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4899-0007-4_16.

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Hassani, Sadri. "Differential Geometry." In Mathematical Physics. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01195-0_36.

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Tamássy, Lajos. "Differential geometry." In Bolyai Society Mathematical Studies. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-30721-1_12.

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Selig, J. M. "Differential Geometry." In Monographs in Computer Science. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2484-4_13.

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Komzsik, Louis. "Differential geometry." In Applied Calculus of Variations for Engineers. CRC Press, 2019. http://dx.doi.org/10.1201/9781003009740-8.

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Wells, Raymond O. "Differential Geometry." In Differential and Complex Geometry: Origins, Abstractions and Embeddings. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58184-2_2.

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Glaeser, Georg, Hellmuth Stachel, and Boris Odehnal. "Differential Geometry." In The Universe of Conics. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-45450-3_3.

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Conference papers on the topic "Congruences (Geometry) Geometry, Differential"

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Gu, C. H., H. S. Hu, and Y. L. Xin. "Differential Geometry." In Symposium in Honor of Professor Su Buchin on His 90th Birthday. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814537148.

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Behrens, Mark, та Gerd Laures. "β–family congruences and the f–invariant". У New topological contexts for Galois theory and algebraic geometry. Mathematical Sciences Publishers, 2009. http://dx.doi.org/10.2140/gtm.2009.16.9.

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Sameer and Pradeep Kumar Pandey. "Copper differential geometry." In ADVANCEMENTS IN MATHEMATICS AND ITS EMERGING AREAS. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0003357.

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Caddeo, R., and F. Tricerri. "DIFFERENTIAL GEOMETRY AND TOPOLOGY." In Proceedings of the Workshop. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814535779.

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LÊ, DŨNG TRÁNG, and BERNARD TEISSIER. "GEOMETRY OF CHARACTERISTIC VARIETIES." In Algebraic Approach to Differential Equations. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814273244_0003.

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Opitz, Felix. "From differential to information geometry." In 2010 2nd International Workshop on Cognitive Information Processing (CIP). IEEE, 2010. http://dx.doi.org/10.1109/cip.2010.5604248.

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SFETSOS, K. "COSET MODELS AND DIFFERENTIAL GEOMETRY." In Proceedings of the Workshop. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 1997. http://dx.doi.org/10.1142/9781848160927_0029.

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Janyska, Josef, and Demeter Krupka. "Differential Geometry and Its Applications." In International Conference. WORLD SCIENTIFIC, 1990. http://dx.doi.org/10.1142/9789814540513.

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Grinspun, Eitan, and Adrian Secord. "Introduction to discrete differential geometry." In ACM SIGGRAPH 2005 Courses. ACM Press, 2005. http://dx.doi.org/10.1145/1198555.1198660.

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Nikolov, Aleksandar, Kunal Talwar, and Li Zhang. "The geometry of differential privacy." In the 45th annual ACM symposium. ACM Press, 2013. http://dx.doi.org/10.1145/2488608.2488652.

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Reports on the topic "Congruences (Geometry) Geometry, Differential"

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Schmidke, W. B. Jr. Differential geometry of groups in string theory. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6422738.

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Zund, Joseph D., and Wayne A. Moore. Conformal Geometry, Hotine's Conjecture, and Differential Geodesy. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada189265.

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Schupp, Peter. Quantum groups, non-commutative differential geometry and applications. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10148553.

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Manes, J. L. Anomalies in quantum field theory and differential geometry. Office of Scientific and Technical Information (OSTI), 1986. http://dx.doi.org/10.2172/6982663.

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Watts, Paul. Differential geometry on Hopf algebras and quantum groups. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/89507.

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Cook, J. M. An application of differential geometry to SSC magnet end winding. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/7050536.

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Ludu, Andrei. Differential Geometry of Moving Surfaces and its Relation to Solitons. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-43-69.

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Bazarov, Ivan, Matthew Andorf, William Bergan, et al. Innovations in optimization and control of accelerators using methods of differential geometry and genetic algorithms. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1530158.

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