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Čap, Andreas

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Author ID: cap.andreas Recent zbMATH articles by "Čap, Andreas"
Published as: Čap, Andreas; Cap, A.; Čap, A.; Cap, Andreas
External Links: MGP · ORCID · Wikidata · GND · IdRef
Documents Indexed: 89 Publications since 1990, including 2 Books
Reviewing Activity: 137 Reviews

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 853 times in 421 Documents Cited by Year
Parabolic geometries I. Background and general theory. Zbl 1183.53002
Čap, Andreas; Slovák, Jan
145
2009
Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309
Čap, Andreas; Slovák, Jan; Souček, Vladimír
80
2001
On twisted tensor products of algebras. Zbl 0842.16005
Čap, Andreas; Schichl, Hermann; Vanžura, Jiří
72
1995
Tractor calculi for parabolic geometries. Zbl 0997.53016
Cap, Andreas; Gover, A. Rod
65
2002
Parabolic geometries and canonical Cartan connections. Zbl 0996.53023
Čap, Andreas; Schichl, Hermann
56
2000
Standard tractors and the conformal ambient metric construction. Zbl 1039.53021
Čap, Andreas; Gover, A. Rod
41
2003
Prolongations of geometric overdetermined systems. Zbl 1101.35060
Branson, Thomas; Čap, Andreas; Eastwood, Michael; Gover, A. Rod
29
2006
Correspondence spaces and twistor spaces for parabolic geometries. Zbl 1075.53022
Čap, Andreas
26
2005
Holonomy reductions of Cartan geometries and curved orbit decompositions. Zbl 1298.53042
Čap, A.; Gover, A. R.; Hammerl, M.
24
2014
Tractor bundles for irreducible parabolic geometries. Zbl 0996.53012
Čap, Andreas; Gover, A. Rod
22
2000
Weyl structures for parabolic geometries. Zbl 1076.53029
Čap, Andreas; Slovák, Jan
20
2003
Infinitesimal automorphisms and deformations of parabolic geometries. Zbl 1161.32020
Čap, Andreas
19
2008
CR-tractors and the Fefferman space. Zbl 1162.32019
Čap, Andreas; Gover, A. Rod
19
2008
Projective BGG equations, algebraic sets, and compactifications of Einstein geometries. Zbl 1258.53016
Čap, Andreas; Gover, A. R.; Hammerl, Matthias
14
2012
Einstein metrics in projective geometry. Zbl 1295.53011
Čap, A.; Gover, A. R.; Macbeth, H. R.
13
2014
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003
Čap, A.; Slovák, J.; Souček, V.
12
1997
On distinguished curves in parabolic geometries. Zbl 1070.53021
Čap, Andreas; Slovák, Jan; Žádník, Vojtěch
12
2004
A holonomy characterisation of Fefferman spaces. Zbl 1298.53041
Čap, Andreas; Gover, A. Rod
12
2010
Two constructions with parabolic geometries. Zbl 1120.53013
Čap, Andreas
12
2006
Subcomplexes in curved BGG-sequences. Zbl 1318.32044
Čap, Andreas; Souček, Vladimír
10
2012
Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007
Čap, A.; Slovák, J.; Souček, V.
9
1997
Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004
Čap, Andreas; Slovák, Jan; Souček, Vladimír
8
2000
Equivariant quantizations for AHS-structures. Zbl 1193.53034
Čap, Andreas; Šilhan, Josef
8
2010
Projective compactifications and Einstein metrics. Zbl 1352.53017
Čap, Andreas; Gover, A. Rod
8
2016
On automorphism groups of some types of generic distributions. Zbl 1190.58004
Čap, Andreas; Neusser, Katharina
8
2009
Pushing down the Rumin complex to conformally symplectic quotients. Zbl 1319.58019
Čap, Andreas; Salač, Tomáš
7
2014
Parabolic conformally symplectic structures. II: Parabolic contactification. Zbl 1410.53078
Čap, Andreas; Salač, Tomáš
7
2018
Curved Casimir operators and the BGG machinery. Zbl 1142.22008
Čap, Andreas; Souček, Vladimír
7
2007
Normal BGG solutions and polynomials. Zbl 1263.53016
Čap, A.; Gover, A. R.; Hammerl, M.
6
2012
Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022
Čap, Andreas; Souček, Vladimír
6
2017
Essential Killing fields of parabolic geometries. Zbl 1294.53045
Čap, Andreas; Melnick, Karin
6
2013
Parabolic conformally symplectic structures. I: Definition and distinguished connections. Zbl 1405.53042
Čap, Andreas; Salač, Tomáš
6
2018
Projective compactness and conformal boundaries. Zbl 1361.53020
Čap, Andreas; Gover, A. Rod
6
2016
Parabolic geometries, CR-tractors, and the Fefferman construction. Zbl 1041.32022
Čap, Andreas
5
2002
Relative BGG sequence. I: Algebra. Zbl 1380.17009
Čap, Andreas; Souček, Vladimir
5
2016
C-projective compactification; (quasi-)Kähler metrics and CR boundaries. Zbl 1425.53090
Čap, Andreas; Gover, A. Rod
5
2019
The Heisenberg group, \(\mathrm{SL}(3,\mathbb R)\), and rigidity. Zbl 1390.22009
Čap, Andreas; Cowling, Michael G.; de Mari, Filippo; Eastwood, Michael; McCallum, Rupert
4
2007
The Frölicher-Nijenhuis bracket in non-commutative differential geometry. Zbl 0830.58002
Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J.
4
1993
Essential Killing fields of parabolic geometries: projective and conformal structures. Zbl 1286.53017
Čap, Andreas; Melnick, Karin
4
2013
On the geometry of chains. Zbl 1167.32020
Čap, Andreas; Žádník, Vojtěch
4
2009
On Nurowski’s conformal structure associated to a generic rank two distribution in dimension five. Zbl 1172.53014
Čap, Andreas; Sagerschnig, Katja
4
2009
Partially integrable almost CR manifolds of CR dimension and codimension two. Zbl 1041.32023
Čap, Andreas; Schmalz, Gerd
3
2002
Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050
Čap, Andreas; Cover, A. Rod; Souček, Vladimír
3
2010
Scalar curvature and projective compactness. Zbl 1328.53019
Čap, Andreas; Gover, A. Rod
2
2015
Conformal holonomy equals ambient holonomy. Zbl 1353.53057
Čap, Andreas; Gover, A. Rod; Graham, C. Robin; Hammerl, Matthias
2
2016
Automorphism groups of parabolic geometries. Zbl 1102.53013
Čap, Andreas
2
2005
Overdetermined systems, conformal differential geometry, and the BGG complex. Zbl 1182.58008
Čap, Andreas
2
2008
Infinitesimally natural operators are natural. Zbl 0744.53010
Čap, Andreas; Slovák, Jan
1
1992
Some special geometry in dimension six. Zbl 1047.53018
Čap, Andreas; Eastwood, Michael
1
2003
All linear and bilinear natural concomitants of vector valued differential forms. Zbl 0734.53012
Cap, Andreas
1
1990
A quantum-group-like structure on noncommutative 2-tori. Zbl 0849.17012
Cap, Andreas; Michor, Peter W.; Schichl, Hermann
1
1993
Report on \(K\)-theory for convenient algebras. Zbl 0790.19007
Cap, Andreas
1
1993
Report on \(K\)-theory for convenient algebras. II. Zbl 0830.46062
Cap, Andreas
1
1994
On local flatness of manifolds with AHS-structures. Zbl 1067.53501
Čap, Andreas; Slovák, Jan
1
1996
Contact projective structures and chains. Zbl 1204.53013
Čap, Andreas; Žádník, Vojtěch
1
2010
On left invariant CR structures on \(SU(2)\). Zbl 1164.32304
Čap, Andreas
1
2006
C-projective compactification; (quasi-)Kähler metrics and CR boundaries. Zbl 1425.53090
Čap, Andreas; Gover, A. Rod
5
2019
Parabolic conformally symplectic structures. II: Parabolic contactification. Zbl 1410.53078
Čap, Andreas; Salač, Tomáš
7
2018
Parabolic conformally symplectic structures. I: Definition and distinguished connections. Zbl 1405.53042
Čap, Andreas; Salač, Tomáš
6
2018
Relative BGG sequences. II: BGG machinery and invariant operators. Zbl 1418.17022
Čap, Andreas; Souček, Vladimír
6
2017
Projective compactifications and Einstein metrics. Zbl 1352.53017
Čap, Andreas; Gover, A. Rod
8
2016
Projective compactness and conformal boundaries. Zbl 1361.53020
Čap, Andreas; Gover, A. Rod
6
2016
Relative BGG sequence. I: Algebra. Zbl 1380.17009
Čap, Andreas; Souček, Vladimir
5
2016
Conformal holonomy equals ambient holonomy. Zbl 1353.53057
Čap, Andreas; Gover, A. Rod; Graham, C. Robin; Hammerl, Matthias
2
2016
Scalar curvature and projective compactness. Zbl 1328.53019
Čap, Andreas; Gover, A. Rod
2
2015
Holonomy reductions of Cartan geometries and curved orbit decompositions. Zbl 1298.53042
Čap, A.; Gover, A. R.; Hammerl, M.
24
2014
Einstein metrics in projective geometry. Zbl 1295.53011
Čap, A.; Gover, A. R.; Macbeth, H. R.
13
2014
Pushing down the Rumin complex to conformally symplectic quotients. Zbl 1319.58019
Čap, Andreas; Salač, Tomáš
7
2014
Essential Killing fields of parabolic geometries. Zbl 1294.53045
Čap, Andreas; Melnick, Karin
6
2013
Essential Killing fields of parabolic geometries: projective and conformal structures. Zbl 1286.53017
Čap, Andreas; Melnick, Karin
4
2013
Projective BGG equations, algebraic sets, and compactifications of Einstein geometries. Zbl 1258.53016
Čap, Andreas; Gover, A. R.; Hammerl, Matthias
14
2012
Subcomplexes in curved BGG-sequences. Zbl 1318.32044
Čap, Andreas; Souček, Vladimír
10
2012
Normal BGG solutions and polynomials. Zbl 1263.53016
Čap, A.; Gover, A. R.; Hammerl, M.
6
2012
A holonomy characterisation of Fefferman spaces. Zbl 1298.53041
Čap, Andreas; Gover, A. Rod
12
2010
Equivariant quantizations for AHS-structures. Zbl 1193.53034
Čap, Andreas; Šilhan, Josef
8
2010
Conformally invariant operators via curved Casimirs: examples. Zbl 1208.53050
Čap, Andreas; Cover, A. Rod; Souček, Vladimír
3
2010
Contact projective structures and chains. Zbl 1204.53013
Čap, Andreas; Žádník, Vojtěch
1
2010
Parabolic geometries I. Background and general theory. Zbl 1183.53002
Čap, Andreas; Slovák, Jan
145
2009
On automorphism groups of some types of generic distributions. Zbl 1190.58004
Čap, Andreas; Neusser, Katharina
8
2009
On the geometry of chains. Zbl 1167.32020
Čap, Andreas; Žádník, Vojtěch
4
2009
On Nurowski’s conformal structure associated to a generic rank two distribution in dimension five. Zbl 1172.53014
Čap, Andreas; Sagerschnig, Katja
4
2009
Infinitesimal automorphisms and deformations of parabolic geometries. Zbl 1161.32020
Čap, Andreas
19
2008
CR-tractors and the Fefferman space. Zbl 1162.32019
Čap, Andreas; Gover, A. Rod
19
2008
Overdetermined systems, conformal differential geometry, and the BGG complex. Zbl 1182.58008
Čap, Andreas
2
2008
Curved Casimir operators and the BGG machinery. Zbl 1142.22008
Čap, Andreas; Souček, Vladimír
7
2007
The Heisenberg group, \(\mathrm{SL}(3,\mathbb R)\), and rigidity. Zbl 1390.22009
Čap, Andreas; Cowling, Michael G.; de Mari, Filippo; Eastwood, Michael; McCallum, Rupert
4
2007
Prolongations of geometric overdetermined systems. Zbl 1101.35060
Branson, Thomas; Čap, Andreas; Eastwood, Michael; Gover, A. Rod
29
2006
Two constructions with parabolic geometries. Zbl 1120.53013
Čap, Andreas
12
2006
On left invariant CR structures on \(SU(2)\). Zbl 1164.32304
Čap, Andreas
1
2006
Correspondence spaces and twistor spaces for parabolic geometries. Zbl 1075.53022
Čap, Andreas
26
2005
Automorphism groups of parabolic geometries. Zbl 1102.53013
Čap, Andreas
2
2005
On distinguished curves in parabolic geometries. Zbl 1070.53021
Čap, Andreas; Slovák, Jan; Žádník, Vojtěch
12
2004
Standard tractors and the conformal ambient metric construction. Zbl 1039.53021
Čap, Andreas; Gover, A. Rod
41
2003
Weyl structures for parabolic geometries. Zbl 1076.53029
Čap, Andreas; Slovák, Jan
20
2003
Some special geometry in dimension six. Zbl 1047.53018
Čap, Andreas; Eastwood, Michael
1
2003
Tractor calculi for parabolic geometries. Zbl 0997.53016
Cap, Andreas; Gover, A. Rod
65
2002
Parabolic geometries, CR-tractors, and the Fefferman construction. Zbl 1041.32022
Čap, Andreas
5
2002
Partially integrable almost CR manifolds of CR dimension and codimension two. Zbl 1041.32023
Čap, Andreas; Schmalz, Gerd
3
2002
Bernstein-Gelfand-Gelfand sequences. Zbl 1159.58309
Čap, Andreas; Slovák, Jan; Souček, Vladimír
80
2001
Parabolic geometries and canonical Cartan connections. Zbl 0996.53023
Čap, Andreas; Schichl, Hermann
56
2000
Tractor bundles for irreducible parabolic geometries. Zbl 0996.53012
Čap, Andreas; Gover, A. Rod
22
2000
Invariant operators on manifolds with almost Hermitian symmetric structures. III: Standard operators. Zbl 0969.53004
Čap, Andreas; Slovák, Jan; Souček, Vladimír
8
2000
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation. Zbl 0969.53003
Čap, A.; Slovák, J.; Souček, V.
12
1997
Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections. Zbl 1024.53007
Čap, A.; Slovák, J.; Souček, V.
9
1997
On local flatness of manifolds with AHS-structures. Zbl 1067.53501
Čap, Andreas; Slovák, Jan
1
1996
On twisted tensor products of algebras. Zbl 0842.16005
Čap, Andreas; Schichl, Hermann; Vanžura, Jiří
72
1995
Report on \(K\)-theory for convenient algebras. II. Zbl 0830.46062
Cap, Andreas
1
1994
The Frölicher-Nijenhuis bracket in non-commutative differential geometry. Zbl 0830.58002
Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J.
4
1993
A quantum-group-like structure on noncommutative 2-tori. Zbl 0849.17012
Cap, Andreas; Michor, Peter W.; Schichl, Hermann
1
1993
Report on \(K\)-theory for convenient algebras. Zbl 0790.19007
Cap, Andreas
1
1993
Infinitesimally natural operators are natural. Zbl 0744.53010
Čap, Andreas; Slovák, Jan
1
1992
All linear and bilinear natural concomitants of vector valued differential forms. Zbl 0734.53012
Cap, Andreas
1
1990
all top 5

Cited by 336 Authors

42 Gover, Ashwin Rod
26 Čap, Andreas
12 Panaite, Florin
12 Soucek, Vladimir
11 Šilhan, Josef
10 Kruglikov, Boris S.
10 Sun, Jiancai
10 Zalabová, Lenka
9 Leitner, Felipe
9 Salač, Tomáš
9 Slovák, Jan
8 Eastwood, Michael G.
8 Guccione, Jorge Alberto
8 Guccione, Juan José
8 Hammerl, Matthias
8 Leistner, Thomas
7 Alekseevskiĭ, Dmitriĭ Vladimirovich
7 Armstrong, Stuart
7 Branson, Thomas Patrick
7 Calderbank, David M. J.
7 Dunajski, Maciej
7 Matveev, Vladimir S.
7 Nurowski, Paweł
7 Somberg, Petr
7 The, Dennis
7 Waldron, Andrew K.
6 Agore, Ana-Loredana
6 Doubrov, Boris M.
6 Gregorovič, Jan
6 Radoux, Fabian
6 Sagerschnig, Katja
6 Schmalz, Gerd
6 Willse, Travis
6 Zhukova, Nina Ivanovna
5 Alt, Jesse
5 Marugame, Taiji
5 Neusser, Katharina
4 Blaom, Anthony D.
4 Case, Jeffrey S.
4 Frances, Charles
4 Hrdina, Jaroslav
4 Kolář, Ivan
4 Latini, Emanuele
4 Lischewski, Andree
4 López Peña, Javier
4 Matsumoto, Yoshihiko
4 Melnick, Karin
4 Mettler, Thomas
4 Militaru, Gigel
4 Ottazzi, Alessandro
4 Pecastaing, Vincent
4 Robles, Colleen
4 Taghavi-Chabert, Arman
4 Tod, Paul
4 Valqui, Christian
4 Witherspoon, Sarah J.
3 Gutt, Jan
3 Hirachi, Kengo
3 Manno, Gianni
3 McKay, Benjamin
3 Medvedev, Aleksandr Vladislavovich
3 Merker, Joël
3 Michel, Jean-Philippe
3 Moore, W. Frank
3 Ştefan, Dragoş
3 van Oystaeyen, Freddy
3 Žádník, Vojtěch
3 Zaitsev, Dmitri
2 Albuquerque, Helena
2 Anderson, Ian M.
2 Apostolov, Vestislav
2 Arce, Jack
2 Biswas, Indranil
2 Borówka, Aleksandra W.
2 Brzeziński, Tomasz
2 Cheaito, Mohamad H.
2 Cibils, Claude
2 Conner, Andrew
2 Curry, Sean N.
2 Dave, Shantanu
2 David, Liana
2 Diemer, Tammo
2 Ebenfelt, Peter
2 El Kaoutit, Laiachi
2 Fernández Vilaboa, José Manuel
2 Fioresi, Rita
2 Gaddis, Jason
2 Galaev, Anton S.
2 Goetz, Pete
2 González Rodríguez, Ramón
2 Grigoriev, Maxim
2 Haller, Stefan
2 Herzlich, Marc
2 Houri, Tsuyoshi
2 Isaev, Alexander
2 Jara, Pascual
2 Julg, Pierre
2 Kaygun, Atabey
2 Kerr, Matthew
2 Kirkman, Ellen E.
...and 236 more Authors
all top 5

Cited in 107 Serials

48 Differential Geometry and its Applications
30 Journal of Geometry and Physics
24 Advances in Mathematics
17 Journal of Algebra
15 Communications in Algebra
13 Communications in Mathematical Physics
13 Annals of Global Analysis and Geometry
13 The Journal of Geometric Analysis
13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10 Transactions of the American Mathematical Society
10 International Journal of Mathematics
9 Journal of Mathematical Physics
9 Journal of Pure and Applied Algebra
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Transformation Groups
7 Central European Journal of Mathematics
6 Letters in Mathematical Physics
6 Geometriae Dedicata
6 Journal für die Reine und Angewandte Mathematik
6 Mathematische Annalen
6 Proceedings of the American Mathematical Society
6 Advances in Applied Clifford Algebras
6 Journal of High Energy Physics
5 Mathematische Zeitschrift
5 Algebras and Representation Theory
5 Journal of Algebra and its Applications
4 Monatshefte für Mathematik
4 Communications in Contemporary Mathematics
3 Classical and Quantum Gravity
3 Israel Journal of Mathematics
3 Annales de l’Institut Fourier
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Acta Applicandae Mathematicae
3 European Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Duke Mathematical Journal
2 Tohoku Mathematical Journal. Second Series
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Communications in Partial Differential Equations
2 Journal of Lie Theory
2 Documenta Mathematica
2 Conformal Geometry and Dynamics
2 Journal of the European Mathematical Society (JEMS)
2 Lobachevskii Journal of Mathematics
2 Annales Henri Poincaré
2 JP Journal of Geometry and Topology
2 Frontiers of Mathematics in China
2 Journal of Noncommutative Geometry
1 General Relativity and Gravitation
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Archivum Mathematicum
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Dissertationes Mathematicae
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tokyo Journal of Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 \(K\)-Theory
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Potential Analysis
1 Applied Categorical Structures
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Chaos
1 Journal of Dynamical and Control Systems
1 Journal of Nonlinear Mathematical Physics
1 Advances in Geometry
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Complex Variables and Elliptic Equations
1 Complex Analysis and Operator Theory
...and 7 more Serials

Citations by Year

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