## Found 241 Documents (Results 1–100)

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### A mixed variational principle in nonlinear elasticity using Cartan’s moving frames and implementation with finite element exterior calculus.(English)Zbl 07526099

MSC:  74-XX 49-XX
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### On mappings of $$p$$-dimensional surfaces in Euclidean spaces $$E_n$$.(English)Zbl 1460.53005

MSC:  53A07 53A60 58A15
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### Two algebraic byways from differential equations: Gröbner bases and quivers.(English)Zbl 1444.14002

Algorithms and Computation in Mathematics 28. Cham: Springer (ISBN 978-3-030-26453-6/hbk; 978-3-030-26454-3/ebook). xi, 371 p. (2020).
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### Finite element exterior calculus.(English)Zbl 07045589

CBMS-NSF Regional Conference Series in Applied Mathematics 93. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-553-6/pbk; 978-1-61197-554-3/ebook). xii, 120 p. (2018).

### About a class of three-dimensional submanifolds in affine space $$A^6$$.(English)Zbl 1415.58001

MSC:  58A05 32B15 58A10

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### Canonical frame of a curve on a conformal plane.(English. Russian original)Zbl 1393.53012

Russ. Math. 61, No. 2, 64-73 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 2, 76-87 (2017).
MSC:  53A30 58A15
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### Inequalities of Babuška-Aziz and Friedrichs-Velte for differential forms.(English)Zbl 1370.35022

Maz’ya, Vladimir (ed.) et al., Recent trends in operator theory and partial differential equations. The Roland Duduchava anniversary volume. Basel: Birkhäuser/Springer (ISBN 978-3-319-47077-1/hbk; 978-3-319-47079-5/ebook). Operator Theory: Advances and Applications 258, 79-88 (2017).
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### Geometric degree of nonconservativity: set of solutions for the linear case and extension to the differentiable non-linear case.(English)Zbl 1465.70059

MSC:  70G45 70H07 70H15
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### Exterior convexity and classical calculus of variations.(English)Zbl 1343.49022

MSC:  49J45 49J99 58A10
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### The inner product on exterior powers of a complex vector space.(English)Zbl 1381.15012

MSC:  15A63 15A75 53B35
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MSC:  74-XX
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### Exterior analysis. Using applications of differential forms.(English)Zbl 1277.53001

Amsterdam: Elsevier (ISBN 978-0-12-415902-0/hbk; 978-0-12-415928-0/ebook). xii, 767 p. (2013).
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### Spaces of finite element differential forms.(English)Zbl 1290.58003

Brezzi, Franco (ed.) et al., Analysis and numerics of partial differential equations. Selected papers based on a meeting in memory of Enrico Magenes, 2011. Milano: Springer (ISBN 978-88-470-2591-2/hbk; 978-88-470-2592-9/ebook). Springer INdAM Series 4, 117-140 (2013).
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### Differential forms in lattice field theories: an overview.(English)Zbl 1262.58001

MSC:  58A10 53C65
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### Fubini-Griffiths-Harris rigidity and Lie algebra cohomology.(English)Zbl 1285.53033

Reviewer: Andreas Cap (Wien)
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### The general theory of relativity. A mathematical exposition.(English)Zbl 1250.83001

New York, NY: Springer (ISBN 978-1-4614-3657-7/hbk; 978-1-4614-3658-4/ebook). xxvi, 678 p. (2012).
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### $$\sqrt{3}$$-based 1-form subdivision.(English)Zbl 1352.65056

Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 7th international conference, Avignon, France, June 24–30, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-27412-1/pbk). Lecture Notes in Computer Science 6920, 351-368 (2012).
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### Discrete differential forms, approximation of eigenvalue problems, and application to the $$p$$ version of edge finite elements.(English)Zbl 1215.65172

Kreiss, Gunilla (ed.) et al., Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Berlin: Springer (ISBN 978-3-642-11794-7/hbk; 978-3-642-11795-4/ebook). 3-14 (2010).
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### The structure Jacobi operator for real hypersurfaces in $${{\mathbb{CP}}^2}$$ and $${{\mathbb{C} \mathbb H}^2}$$.(English)Zbl 1186.53067

MSC:  53C40 53C55 58A15
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### New perspectives on the Kähler calculus and wave functions.(English)Zbl 1183.58002

MSC:  58A15 58D17 58J60
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### On the naturality of the exterior differential.(English)Zbl 1173.58001

MSC:  58A10 49J52 58D05
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### Tensors. The mathematics of relativity theory and continuum mechanics.(English)Zbl 1138.53001

New York, NY: Springer (ISBN 978-0-387-69468-9/hbk; 978-0-387-69469-6/ebook). xii, 289 p. (2007).

### On integral and differential factorization methods.(English. Russian original)Zbl 1131.47015

Dokl. Math. 74, No. 2, 762-766 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 2, 168-172 (2006).
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### Geometry of submanifolds with the structure of a double fiber bundle in pseudo-Euclidean Rashevskii space.(English, Russian)Zbl 1117.53018

Russ. Math. 49, No. 5, 1-10 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 5, 3-13 (2005).
MSC:  53B25 53B30 53B05

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### Multi-dimensional Cartan prolongation and special $$k$$-flags.(English)Zbl 1056.58002

Hironaka, Heisuke (ed.) et al., Geometric singularity theory. Dedicated to the memory of Stanisław Łojasiewicz. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 65, 157-178 (2004).

### The geometry of physics. An introduction. 2nd ed.(English)Zbl 1049.58001

Cambridge: Cambridge University Press (ISBN 0-521-53927-7/pbk; 0-521-83330-2/hbk). xxvi, 694 p. (2004).

### On compact solvability of differentials of an elliptic differential complex.(Russian, English)Zbl 1051.58007

Sib. Mat. Zh. 44, No. 6, 1280-1294 (2003); translation in Sib. Math. J. 44, No. 6, 1003-1014 (2003).
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### Contraforms on pseudo-Riemannian manifolds.(English)Zbl 1037.53052

Anastasiei, M. (ed.) et al., Finsler and Lagrange geometries. Proceedings of a conference, Iaşi, Romania, August 16–31, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1390-6/hbk). 249-258 (2003).

### Linear continuous division for exterior and interior products.(English)Zbl 1075.46023

MSC:  46E10 58A10
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### Riemannian geometry in an orthogonal frame. From lectures delivered by Élie Cartan at the Sorbonne 1926–27. With a preface to the Russian edition by S. P. Finikov. Translated from the 1960 Russian edition by Vladislav V. Goldberg and with a foreword by S. S. Chern.(English)Zbl 1009.53003

Singapore: World Scientific. xviii, 259 p. £39.00 (2001).
Reviewer: T.Okubo (Victoria)
MSC:  53-01 01A75

### Plane waves in premetric electrodynamics.(English)Zbl 1002.78001

Brackx, F. (ed.) et al., Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30-November 3, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 25, 91-102 (2001).
MSC:  78A40 53B50 15A75

### Isometry between two indefinite metrics.(English)Zbl 1020.53014

MSC:  53C10 58A15 53B30

### Riemannian geometry in an orthogonal frame. From lectures delivered by Élie Cartan at the Sorbonne 1926–27. With a preface to the Russian edition by S. P. Finikov. Translated from the 1960 Russian edition by Vladislav V. Goldberg and with a foreword by S. S. Chern.(English)Zbl 1025.53002

Singapore: World Scientific. xviii, 259 p. (2001).
Reviewer: T.Okubo (Victoria)
MSC:  53-01 01A75

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### The geometry of Cauchy’s fluxes.(English)Zbl 0965.58004

MSC:  58A15 74A99
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### The geometry of vector fields. Translated from the Russian by A. Yampol’ski.(English)Zbl 0965.53002

Amsterdam: Gordon and Breach Publishers. xiv, 172 p. (2000).

### fn the foundation of geometry, analysis, and the differentiable structure for manifolds.(English)Zbl 1019.58001

Banyaga, A. (ed.) et al., Topics in low-dimensional topology. In honor of Steve Armentrout. Proceedings of the conference on low dimensional topology, University Park, PA, USA, May 1996. Singapore: World Scientific. 89-92 (1999).

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### On compact solvability of the exterior derivation for $$G$$-invariant boundary conditions.(English. Russian original)Zbl 0933.58001

Sib. Math. J. 40, No. 3, 585-589 (1999); translation from Sib. Mat. Zh. 40, No. 3, 683-688 (1999).
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### Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8.(English)Zbl 0957.58002

MSC:  58A15 34C20
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### Symmetries of completely integrable distributions.(English. Russian original)Zbl 0967.58003

Dokl. Math. 57, No. 3, 355-357 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 2, 151-153 (1998).

### On orthogonal direct sum decomposition of de Rham complexes for warped products of Riemannian manifolds.(English. Russian original)Zbl 0944.58001

Sib. Math. J. 39, No. 2, 311-322 (1998); translation from Sib. Mat. Zh. 39, No. 2, 354-368 (1998).
MSC:  58A10 53C20 46E35
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### Isomorphisms on a quaternionic almost Hermitian manifold. (Isomorphismes sur une variété presque Hermitienne quaternionique.)(French)Zbl 0942.53020

Gentili, G. (ed.) et al., Quaternionic structures in mathematics and physics. Proceedings of the meeting, Trieste, Italy, September 5-9, 1994. Trieste: International School for Advanced Studies (SISSA), Laboratorio Interdisciplinare per le Scienze Naturali ed Umanistiche, 1-6 (1998).
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### Analyse. Fondements, techniques, évolution. (Analysis. Foundations, techniques, evolution).2ème éd. 2ème éd. (Analyse. Fondements, techniques, évolution.)(French)Zbl 0874.26001

Belgium: De Boeck Université. viii, 808 p. (1997).

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### On compact solvability of the operator of exterior derivation.(English. Russian original)Zbl 0870.58003

Sib. Math. J. 38, No. 3, 492-506 (1997); translation from Sib. Mat. Zh. 38, No. 3, 573-590 (1997).
MSC:  58A10 53C20 46E35
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### Remarks on ideals of polynomials and of exterior differential forms. II. (Remarques sur les idéaux de polynômes et de formes différentielles extérieures. II.)(French)Zbl 0873.13016

Ławrynowicz, J. (ed.), Generalizations of complex analysis and their applications in physics. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 37, 71-74 (1996).
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### Remarks on ideals of polynomials and of exterior differential forms. I. (Remarques sur les idéaux de polynômes et de formes différentielles extérieures. I.)(French)Zbl 0873.13015

Ławrynowicz, J. (ed.), Generalizations of complex analysis and their applications in physics. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 37, 67-70 (1996).
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### Cartan calculus: Differential geometry for quantum groups.(English)Zbl 0866.17011

Castellani, L. (ed.) et al., Quantum groups and their applications in physics. Amsterdam: IOS Press. Proc. Int. Sch. Phys. Enrico Fermi. 127, 507-524 (1996).
MSC:  17B37 46L85 46L87
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### Bismut-Nualart-Pardoux cohomology and entire Hochschild cohomology. (Cohomologie de Bismut-Nualart-Pardoux et cohomologie de Hochschild entière.)(French)Zbl 0870.58011

Azéma, J. (ed.) et al., Séminaire de probabilités XXX. Berlin: Springer. Lect. Notes Math. 1626, 68-99 (1996).
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### Higher-order constrained systems on fibered manifolds: An exterior differential systems approach.(English)Zbl 0848.58023

Tamássy, L. (ed.) et al., New developments in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 26-30, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 350, 255-278 (1996).
Reviewer: J.Chrastina (Brno)

### Geometric measure theory. Repr. of the 1969 ed.(English)Zbl 0874.49001

Classics in Mathematics. Berlin: Springer-Verlag. xvi, 680 p. (1996).

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### Singularities of solutions of the Maxwell-Dirac equation.(English)Zbl 0845.35124

Lychagin, V. V. (ed.), The interplay between differential geometry and differential equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 167(24), 261-277 (1995).

### Braided approach to exterior algebra on $$q$$-Euclidean and $$q$$-Minkowski spaces.(English)Zbl 0870.17006

Lukierski, Jerzy (ed.) et al., Quantum groups: formalism and applications. Proceedings of the XXX Karpacz winter school of theoretical physics, Karpacz, Poland, February 14–26, 1994. Warszawa: PWN-Polish Scientific Publishers. 129-148 (1995).
MSC:  17B37 18D10 81R50 46L85 46L87 15A75

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