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## Agricola, Ilka

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 Author ID: agricola.ilka Published as: Agricola, Ilka Homepage: http://www.mathematik.uni-marburg.de/~agricola/ External Links: MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 48 Publications since 1998, including 8 Books Reviewing Activity: 38 Reviews
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#### Co-Authors

 9 single-authored 24 Friedrich, Thomas 4 Ferreira, Ana Cristina 3 Höll, Jos 2 Becker-Bender, Julia 2 Chiossi, Simon G. 2 Dileo, Giulia 2 Kim, Hwajeong 1 Ammann, Bernd Eberhard 1 Bazzoni, Giovanni 1 Bögelein, Verena 1 Borówka, Aleksandra W. 1 Duzaar, Frank 1 Fino, Anna 1 Goertsches, Oliver 1 Goodman, Roe W. 1 Kassuba, Mario 1 Konstantis, Panagiotis 1 Kraus, Margarita 1 Nagy, Paul-Andi 1 Puhle, Christof 1 Pukelsheim, Friedrich 1 Rollenske, Sönke 1 Stecker, Leander 1 Storm, Reinier 1 Thier, Christian
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#### Serials

 7 Differential Geometry and its Applications 6 Journal of Geometry and Physics 4 Annals of Global Analysis and Geometry 2 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Semesterberichte 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Nuclear Physics. B 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 Fundamenta Mathematicae 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Notices of the American Mathematical Society 1 Advances in Applied Clifford Algebras 1 Journal of Lie Theory 1 The Quarterly Journal of Mathematics 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Geometric Methods in Modern Physics 1 Graduate Studies in Mathematics 1 Student Mathematical Library
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#### Fields

 32 Differential geometry (53-XX) 10 Quantum theory (81-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Topological groups, Lie groups (22-XX) 5 Geometry (51-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mathematics education (97-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 357 times in 210 Documents Cited by Year
The Srní lectures on non-integrable geometries with torsion. Zbl 1164.53300
Agricola, Ilka
2006
On the holonomy of connections with skew-symmetric torsion. Zbl 1055.53031
Agricola, Ilka; Friedrich, Thomas
2004
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Zbl 1032.53041
Agricola, Ilka
2003
3-Sasakian manifolds in dimension seven, their spinors and G$$_2$$-structures. Zbl 1188.53041
Agricola, Ilka; Friedrich, Thomas
2010
The classification of naturally reductive homogeneous spaces in dimensions $$n\leq 6$$. Zbl 1435.53040
Agricola, Ilka; Ferreira, Ana Cristina; Friedrich, Thomas
2015
Spinorial description of $$\mathrm{SU}(3)$$- and $$\mathrm{G}_2$$-manifolds. Zbl 1333.53037
Agricola, Ilka; Chiossi, Simon G.; Friedrich, Thomas; Höll, Jos
2015
Einstein manifolds with skew torsion. Zbl 1368.53034
Agricola, Ilka; Ferreira, Ana Cristina
2014
Old and new on the exceptional group $$G_2$$. Zbl 1194.22023
Agricola, Ilka
2008
Twistorial eigenvalue estimates for generalized Dirac operators with torsion. Zbl 1287.58015
Agricola, Ilka; Becker-Bender, Julia; Kim, Hwajeong
2013
A note on flat metric connections with antisymmetric torsion. Zbl 1201.53052
Agricola, Ilka; Friedrich, Thomas
2010
Geometric structures of vectorial type. Zbl 1106.53033
Agricola, Ilka; Friedrich, Thomas
2006
Global analysis. Differential forms in analysis, geometry and physics. Transl. from the German by Andreas Nestke. Zbl 1005.58001
Agricola, Ilka; Friedrich, Thomas
2002
The Casimir operator of a metric connection with skew-symmetric torsion. Zbl 1080.53043
Agricola, Ilka; Friedrich, Thomas
2004
On the topology and the geometry of SO(3)-manifolds. Zbl 1218.53047
Agricola, Ilka; Becker-Bender, Julia; Friedrich, Thomas
2011
Upper bounds for the first eigenvalue of the Dirac operator on surfaces. Zbl 0941.58018
Agricola, Ilka; Friedrich, Thomas
1999
The geodesics of metric connections with vectorial torsion. Zbl 1130.53029
Agricola, Ilka; Thier, Christian
2004
On the Ricci tensor in the common sector of type II string theory. Zbl 1074.81056
Agricola, Ilka; Friedrich, Thomas; Nagy, Paul-Andi; Puhle, Christof
2005
Non-integrable geometries, torsion, and holonomy. Zbl 1220.53003
Agricola, Ilka
2010
Killing spinors in supergravity with 4-fluxes. Zbl 1045.83045
Agricola, Ilka; Friedrich, Thomas
2003
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces. Zbl 1333.53069
Agricola, Ilka; Ferreira, Ana Cristina; Storm, Reinier
2015
Eigenvalue estimates for Dirac operators with parallel characteristic torsion. Zbl 1161.53031
Agricola, Ilka; Friedrich, Thomas; Kassuba, Mario
2008
Solvmanifolds with integrable and non-integrable $$G_{2}$$ structures. Zbl 1146.53017
Agricola, Ilka; Chiossi, Simon G.; Fino, Anna
2007
Cones of $$G$$ manifolds and Killing spinors with skew torsion. Zbl 1319.53043
Agricola, Ilka; Höll, Jos
2015
Tangent Lie groups are Riemannian naturally reductive spaces. Zbl 1378.53063
Agricola, Ilka; Ferreira, Ana Cristina
2017
Manifolds with vectorial torsion. Zbl 1339.53046
Agricola, Ilka; Kraus, Margarita
2016
Sp(3) structures on 14-dimensional manifolds. Zbl 1291.53036
Agricola, Ilka; Friedrich, Thomas; Höll, Jos
2013
A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus. Zbl 0944.58022
Agricola, Ilka; Ammann, Bernd; Friedrich, Thomas
1999
$$S^6$$ and the geometry of nearly Kähler 6-manifolds. Zbl 1381.53004
Agricola, Ilka; Borówka, Aleksandra; Friedrich, Thomas
2018
Generalizations of 3-Sasakian manifolds and skew torsion. Zbl 1448.53052
Agricola, Ilka; Dileo, Giulia
2020
Elementary geometry. Specialised knowledge for study and mathematics education. 2nd revised and enlarged ed. (Elementargeometrie. Fachwissen für Studium und Mathematikunterricht.) Zbl 1153.51007
Agricola, Ilka; Friedrich, Thomas
2009
Elementary geometry. Transl. from the German by Philip G. Spain. Zbl 1134.51011
Agricola, Ilka; Friedrich, Thomas
2008
On the history of the Hopf problem. Zbl 1381.53003
Agricola, Ilka; Bazzoni, Giovanni; Goertsches, Oliver; Konstantis, Panagiotis; Rollenske, Sönke
2018
Elementary geometry. Specialised knowledge for study and mathematics education. 3rd revised ed. (Elementargeometrie. Fachwissen für Studium und Mathematikunterricht.) Zbl 1203.51004
Agricola, Ilka; Friedrich, Thomas
2011
Vector analysis. Differential forms in analysis, geometry and physics. 2nd revised and enlarged ed. (Vektoranalysis. Differentialformen in Analysis, Geometrie und Physik.) Zbl 1195.58001
Agricola, Ilka; Friedrich, Thomas
2010
Global analysis. Differential forms in analysis, geometry and physics. (Globale Analysis. Differentialformen in Analysis, Geometrie und Physik.) Zbl 0969.58001
Agricola, Ilka; Friedrich, Thomas
2001
Invariant differential operators and Frobenius decomposition of a $$G$$-variety. (Invariante Differentialoperatoren und die Frobenius-Zerlegung einer $$G$$-Varietät.) Zbl 0976.14029
Agricola, Ilka
2001
A note on generalized Dirac eigenvalues for split holonomy and torsion. Zbl 1317.53068
Agricola, Ilka; Kim, Hwajeong
2014
On the history of the exceptional Lie group $$G_2$$. (Zur Geschichte der Ausnahme-Lie-Gruppe $$G_2$$.) Zbl 1246.22002
Agricola, Ilka
2007
Generalizations of 3-Sasakian manifolds and skew torsion. Zbl 1448.53052
Agricola, Ilka; Dileo, Giulia
2020
$$S^6$$ and the geometry of nearly Kähler 6-manifolds. Zbl 1381.53004
Agricola, Ilka; Borówka, Aleksandra; Friedrich, Thomas
2018
On the history of the Hopf problem. Zbl 1381.53003
Agricola, Ilka; Bazzoni, Giovanni; Goertsches, Oliver; Konstantis, Panagiotis; Rollenske, Sönke
2018
Tangent Lie groups are Riemannian naturally reductive spaces. Zbl 1378.53063
Agricola, Ilka; Ferreira, Ana Cristina
2017
Manifolds with vectorial torsion. Zbl 1339.53046
Agricola, Ilka; Kraus, Margarita
2016
The classification of naturally reductive homogeneous spaces in dimensions $$n\leq 6$$. Zbl 1435.53040
Agricola, Ilka; Ferreira, Ana Cristina; Friedrich, Thomas
2015
Spinorial description of $$\mathrm{SU}(3)$$- and $$\mathrm{G}_2$$-manifolds. Zbl 1333.53037
Agricola, Ilka; Chiossi, Simon G.; Friedrich, Thomas; Höll, Jos
2015
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces. Zbl 1333.53069
Agricola, Ilka; Ferreira, Ana Cristina; Storm, Reinier
2015
Cones of $$G$$ manifolds and Killing spinors with skew torsion. Zbl 1319.53043
Agricola, Ilka; Höll, Jos
2015
Einstein manifolds with skew torsion. Zbl 1368.53034
Agricola, Ilka; Ferreira, Ana Cristina
2014
A note on generalized Dirac eigenvalues for split holonomy and torsion. Zbl 1317.53068
Agricola, Ilka; Kim, Hwajeong
2014
Twistorial eigenvalue estimates for generalized Dirac operators with torsion. Zbl 1287.58015
Agricola, Ilka; Becker-Bender, Julia; Kim, Hwajeong
2013
Sp(3) structures on 14-dimensional manifolds. Zbl 1291.53036
Agricola, Ilka; Friedrich, Thomas; Höll, Jos
2013
On the topology and the geometry of SO(3)-manifolds. Zbl 1218.53047
Agricola, Ilka; Becker-Bender, Julia; Friedrich, Thomas
2011
Elementary geometry. Specialised knowledge for study and mathematics education. 3rd revised ed. (Elementargeometrie. Fachwissen für Studium und Mathematikunterricht.) Zbl 1203.51004
Agricola, Ilka; Friedrich, Thomas
2011
3-Sasakian manifolds in dimension seven, their spinors and G$$_2$$-structures. Zbl 1188.53041
Agricola, Ilka; Friedrich, Thomas
2010
A note on flat metric connections with antisymmetric torsion. Zbl 1201.53052
Agricola, Ilka; Friedrich, Thomas
2010
Non-integrable geometries, torsion, and holonomy. Zbl 1220.53003
Agricola, Ilka
2010
Vector analysis. Differential forms in analysis, geometry and physics. 2nd revised and enlarged ed. (Vektoranalysis. Differentialformen in Analysis, Geometrie und Physik.) Zbl 1195.58001
Agricola, Ilka; Friedrich, Thomas
2010
Elementary geometry. Specialised knowledge for study and mathematics education. 2nd revised and enlarged ed. (Elementargeometrie. Fachwissen für Studium und Mathematikunterricht.) Zbl 1153.51007
Agricola, Ilka; Friedrich, Thomas
2009
Old and new on the exceptional group $$G_2$$. Zbl 1194.22023
Agricola, Ilka
2008
Eigenvalue estimates for Dirac operators with parallel characteristic torsion. Zbl 1161.53031
Agricola, Ilka; Friedrich, Thomas; Kassuba, Mario
2008
Elementary geometry. Transl. from the German by Philip G. Spain. Zbl 1134.51011
Agricola, Ilka; Friedrich, Thomas
2008
Solvmanifolds with integrable and non-integrable $$G_{2}$$ structures. Zbl 1146.53017
Agricola, Ilka; Chiossi, Simon G.; Fino, Anna
2007
On the history of the exceptional Lie group $$G_2$$. (Zur Geschichte der Ausnahme-Lie-Gruppe $$G_2$$.) Zbl 1246.22002
Agricola, Ilka
2007
The Srní lectures on non-integrable geometries with torsion. Zbl 1164.53300
Agricola, Ilka
2006
Geometric structures of vectorial type. Zbl 1106.53033
Agricola, Ilka; Friedrich, Thomas
2006
On the Ricci tensor in the common sector of type II string theory. Zbl 1074.81056
Agricola, Ilka; Friedrich, Thomas; Nagy, Paul-Andi; Puhle, Christof
2005
On the holonomy of connections with skew-symmetric torsion. Zbl 1055.53031
Agricola, Ilka; Friedrich, Thomas
2004
The Casimir operator of a metric connection with skew-symmetric torsion. Zbl 1080.53043
Agricola, Ilka; Friedrich, Thomas
2004
The geodesics of metric connections with vectorial torsion. Zbl 1130.53029
Agricola, Ilka; Thier, Christian
2004
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Zbl 1032.53041
Agricola, Ilka
2003
Killing spinors in supergravity with 4-fluxes. Zbl 1045.83045
Agricola, Ilka; Friedrich, Thomas
2003
Global analysis. Differential forms in analysis, geometry and physics. Transl. from the German by Andreas Nestke. Zbl 1005.58001
Agricola, Ilka; Friedrich, Thomas
2002
Global analysis. Differential forms in analysis, geometry and physics. (Globale Analysis. Differentialformen in Analysis, Geometrie und Physik.) Zbl 0969.58001
Agricola, Ilka; Friedrich, Thomas
2001
Invariant differential operators and Frobenius decomposition of a $$G$$-variety. (Invariante Differentialoperatoren und die Frobenius-Zerlegung einer $$G$$-Varietät.) Zbl 0976.14029
Agricola, Ilka
2001
Upper bounds for the first eigenvalue of the Dirac operator on surfaces. Zbl 0941.58018
Agricola, Ilka; Friedrich, Thomas
1999
A comparison of the eigenvalues of the Dirac and Laplace operators on a two-dimensional torus. Zbl 0944.58022
Agricola, Ilka; Ammann, Bernd; Friedrich, Thomas
1999
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#### Cited in 85 Serials

 27 Journal of Geometry and Physics 24 Annals of Global Analysis and Geometry 17 Differential Geometry and its Applications 10 Communications in Mathematical Physics 6 Advances in Mathematics 5 Transactions of the American Mathematical Society 4 Journal of Geometry 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 The Journal of Geometric Analysis 4 Journal of High Energy Physics 3 Mathematische Semesterberichte 3 Geometriae Dedicata 3 Advances in Applied Clifford Algebras 3 Transformation Groups 3 Complex Manifolds 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Physics, Analysis and Geometry 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Geometric Methods in Modern Physics 2 Science China. Mathematics 2 European Journal of Mathematics 1 Classical and Quantum Gravity 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Beiträge zur Algebra und Geometrie 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Dissertationes Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 Applications of Mathematics 1 Historia Mathematica 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Representation Theory 1 Advances in Geometry 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 International Electronic Journal of Geometry 1 Advances in High Energy Physics 1 Advances in Mathematical Physics 1 Journal of Geometric Mechanics 1 Analysis and Mathematical Physics 1 Communications in Mathematics 1 Axioms 1 EMS Surveys in Mathematical Sciences 1 Complex Analysis and its Synergies
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#### Cited in 41 Fields

 172 Differential geometry (53-XX) 40 Global analysis, analysis on manifolds (58-XX) 27 Quantum theory (81-XX) 19 Partial differential equations (35-XX) 16 Relativity and gravitational theory (83-XX) 14 Manifolds and cell complexes (57-XX) 13 Nonassociative rings and algebras (17-XX) 13 Topological groups, Lie groups (22-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 4 History and biography (01-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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