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Author ID: agricola.ilka Recent zbMATH articles by "Agricola, Ilka"
Published as: Agricola, Ilka
Homepage: http://www.mathematik.uni-marburg.de/~agricola/
External Links: MGP · Wikidata · ResearchGate · GND · IdRef
Documents Indexed: 48 Publications since 1998, including 8 Books
1 Further Contribution
Reviewing Activity: 38 Reviews
Co-Authors: 25 Co-Authors with 39 Joint Publications
254 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 404 times in 237 Documents Cited by Year
The Srní lectures on non-integrable geometries with torsion. Zbl 1164.53300
Agricola, Ilka
67
2006
On the holonomy of connections with skew-symmetric torsion. Zbl 1055.53031
Agricola, Ilka; Friedrich, Thomas
51
2004
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Zbl 1032.53041
Agricola, Ilka
27
2003
The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\). Zbl 1435.53040
Agricola, Ilka; Ferreira, Ana Cristina; Friedrich, Thomas
24
2015
3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures. Zbl 1188.53041
Agricola, Ilka; Friedrich, Thomas
22
2010
Einstein manifolds with skew torsion. Zbl 1368.53034
Agricola, Ilka; Ferreira, Ana Cristina
20
2014
Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds. Zbl 1333.53037
Agricola, Ilka; Chiossi, Simon G.; Friedrich, Thomas; Höll, Jos
19
2015
Old and new on the exceptional group \(G_2\). Zbl 1194.22023
Agricola, Ilka
16
2008
Twistorial eigenvalue estimates for generalized Dirac operators with torsion. Zbl 1287.58015
Agricola, Ilka; Becker-Bender, Julia; Kim, Hwajeong
13
2013
A note on flat metric connections with antisymmetric torsion. Zbl 1201.53052
Agricola, Ilka; Friedrich, Thomas
10
2010
Geometric structures of vectorial type. Zbl 1106.53033
Agricola, Ilka; Friedrich, Thomas
9
2006
The Casimir operator of a metric connection with skew-symmetric torsion. Zbl 1080.53043
Agricola, Ilka; Friedrich, Thomas
9
2004
Manifolds with vectorial torsion. Zbl 1339.53046
Agricola, Ilka; Kraus, Margarita
8
2016
Upper bounds for the first eigenvalue of the Dirac operator on surfaces. Zbl 0941.58018
Agricola, Ilka; Friedrich, Thomas
8
1999
The geodesics of metric connections with vectorial torsion. Zbl 1130.53029
Agricola, Ilka; Thier, Christian
8
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
8
2005
Global analysis. Differential forms in analysis, geometry and physics. Transl. from the German by Andreas Nestke. Zbl 1005.58001
Agricola, Ilka; Friedrich, Thomas
8
2002
On the topology and the geometry of SO(3)-manifolds. Zbl 1218.53047
Agricola, Ilka; Becker-Bender, Julia; Friedrich, Thomas
7
2011
Non-integrable geometries, torsion, and holonomy. Zbl 1220.53003
Agricola, Ilka
7
2010
Killing spinors in supergravity with 4-fluxes. Zbl 1045.83045
Agricola, Ilka; Friedrich, Thomas
7
2003
Cones of \(G\) manifolds and Killing spinors with skew torsion. Zbl 1319.53043
Agricola, Ilka; Höll, Jos
6
2015
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces. Zbl 1333.53069
Agricola, Ilka; Ferreira, Ana Cristina; Storm, Reinier
5
2015
Eigenvalue estimates for Dirac operators with parallel characteristic torsion. Zbl 1161.53031
Agricola, Ilka; Friedrich, Thomas; Kassuba, Mario
5
2008
Sp(3) structures on 14-dimensional manifolds. Zbl 1291.53036
Agricola, Ilka; Friedrich, Thomas; Höll, Jos
5
2013
Generalizations of 3-Sasakian manifolds and skew torsion. Zbl 1448.53052
Agricola, Ilka; Dileo, Giulia
5
2020
\(S^6\) and the geometry of nearly Kähler 6-manifolds. Zbl 1381.53004
Agricola, Ilka; Borówka, Aleksandra; Friedrich, Thomas
5
2018
Tangent Lie groups are Riemannian naturally reductive spaces. Zbl 1378.53063
Agricola, Ilka; Ferreira, Ana Cristina
4
2017
Solvmanifolds with integrable and non-integrable \(G_{2}\) structures. Zbl 1146.53017
Agricola, Ilka; Chiossi, Simon G.; Fino, Anna
4
2007
On the history of the Hopf problem. Zbl 1381.53003
Agricola, Ilka; Bazzoni, Giovanni; Goertsches, Oliver; Konstantis, Panagiotis; Rollenske, Sönke
4
2018
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
3
1999
Elementary geometry. Transl. from the German by Philip G. Spain. Zbl 1134.51011
Agricola, Ilka; Friedrich, Thomas
2
2008
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
2
2009
On the history of the exceptional Lie group \(G_2\). (Zur Geschichte der Ausnahme-Lie-Gruppe \(G_2\).) Zbl 1246.22002
Agricola, Ilka
1
2007
Global analysis. Differential forms in analysis, geometry and physics. (Globale Analysis. Differentialformen in Analysis, Geometrie und Physik.) Zbl 0969.58001
Agricola, Ilka; Friedrich, Thomas
1
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
1
2001
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
1
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
1
2010
A note on generalized Dirac eigenvalues for split holonomy and torsion. Zbl 1317.53068
Agricola, Ilka; Kim, Hwajeong
1
2014
Generalizations of 3-Sasakian manifolds and skew torsion. Zbl 1448.53052
Agricola, Ilka; Dileo, Giulia
5
2020
\(S^6\) and the geometry of nearly Kähler 6-manifolds. Zbl 1381.53004
Agricola, Ilka; Borówka, Aleksandra; Friedrich, Thomas
5
2018
On the history of the Hopf problem. Zbl 1381.53003
Agricola, Ilka; Bazzoni, Giovanni; Goertsches, Oliver; Konstantis, Panagiotis; Rollenske, Sönke
4
2018
Tangent Lie groups are Riemannian naturally reductive spaces. Zbl 1378.53063
Agricola, Ilka; Ferreira, Ana Cristina
4
2017
Manifolds with vectorial torsion. Zbl 1339.53046
Agricola, Ilka; Kraus, Margarita
8
2016
The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\). Zbl 1435.53040
Agricola, Ilka; Ferreira, Ana Cristina; Friedrich, Thomas
24
2015
Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds. Zbl 1333.53037
Agricola, Ilka; Chiossi, Simon G.; Friedrich, Thomas; Höll, Jos
19
2015
Cones of \(G\) manifolds and Killing spinors with skew torsion. Zbl 1319.53043
Agricola, Ilka; Höll, Jos
6
2015
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces. Zbl 1333.53069
Agricola, Ilka; Ferreira, Ana Cristina; Storm, Reinier
5
2015
Einstein manifolds with skew torsion. Zbl 1368.53034
Agricola, Ilka; Ferreira, Ana Cristina
20
2014
A note on generalized Dirac eigenvalues for split holonomy and torsion. Zbl 1317.53068
Agricola, Ilka; Kim, Hwajeong
1
2014
Twistorial eigenvalue estimates for generalized Dirac operators with torsion. Zbl 1287.58015
Agricola, Ilka; Becker-Bender, Julia; Kim, Hwajeong
13
2013
Sp(3) structures on 14-dimensional manifolds. Zbl 1291.53036
Agricola, Ilka; Friedrich, Thomas; Höll, Jos
5
2013
On the topology and the geometry of SO(3)-manifolds. Zbl 1218.53047
Agricola, Ilka; Becker-Bender, Julia; Friedrich, Thomas
7
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
1
2011
3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures. Zbl 1188.53041
Agricola, Ilka; Friedrich, Thomas
22
2010
A note on flat metric connections with antisymmetric torsion. Zbl 1201.53052
Agricola, Ilka; Friedrich, Thomas
10
2010
Non-integrable geometries, torsion, and holonomy. Zbl 1220.53003
Agricola, Ilka
7
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
1
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
2
2009
Old and new on the exceptional group \(G_2\). Zbl 1194.22023
Agricola, Ilka
16
2008
Eigenvalue estimates for Dirac operators with parallel characteristic torsion. Zbl 1161.53031
Agricola, Ilka; Friedrich, Thomas; Kassuba, Mario
5
2008
Elementary geometry. Transl. from the German by Philip G. Spain. Zbl 1134.51011
Agricola, Ilka; Friedrich, Thomas
2
2008
Solvmanifolds with integrable and non-integrable \(G_{2}\) structures. Zbl 1146.53017
Agricola, Ilka; Chiossi, Simon G.; Fino, Anna
4
2007
On the history of the exceptional Lie group \(G_2\). (Zur Geschichte der Ausnahme-Lie-Gruppe \(G_2\).) Zbl 1246.22002
Agricola, Ilka
1
2007
The Srní lectures on non-integrable geometries with torsion. Zbl 1164.53300
Agricola, Ilka
67
2006
Geometric structures of vectorial type. Zbl 1106.53033
Agricola, Ilka; Friedrich, Thomas
9
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
8
2005
On the holonomy of connections with skew-symmetric torsion. Zbl 1055.53031
Agricola, Ilka; Friedrich, Thomas
51
2004
The Casimir operator of a metric connection with skew-symmetric torsion. Zbl 1080.53043
Agricola, Ilka; Friedrich, Thomas
9
2004
The geodesics of metric connections with vectorial torsion. Zbl 1130.53029
Agricola, Ilka; Thier, Christian
8
2004
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Zbl 1032.53041
Agricola, Ilka
27
2003
Killing spinors in supergravity with 4-fluxes. Zbl 1045.83045
Agricola, Ilka; Friedrich, Thomas
7
2003
Global analysis. Differential forms in analysis, geometry and physics. Transl. from the German by Andreas Nestke. Zbl 1005.58001
Agricola, Ilka; Friedrich, Thomas
8
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
1
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
1
2001
Upper bounds for the first eigenvalue of the Dirac operator on surfaces. Zbl 0941.58018
Agricola, Ilka; Friedrich, Thomas
8
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
3
1999
all top 5

Cited by 283 Authors

20 Agricola, Ilka
17 Friedrich, Thomas
8 Albuquerque, Rui P.
6 Chrysikos, Ioannis
5 Dileo, Giulia
5 Ferreira, Ana Cristina
5 Reggiani, Silvio
4 Draper, Cristina
4 Lazaroiu, Calin Iuliu
4 Lotta, Antonio
4 Moroianu, Andrei
4 Parton, Maurizio
4 Pfäffle, Frank Jochen
4 Piccinni, Paolo
4 Souris, Nikolaos Panagiotis
4 Stephan, Christoph A.
4 Storm, Reinier
3 Alekseevskiĭ, Dmitriĭ Vladimirovich
3 Arvanitoyeorgos, Andreas
3 Băbălîc, Elena-Mirela
3 Branding, Volker
3 Chiossi, Simon G.
3 Fino, Anna
3 Gilkey, Peter B.
3 Höll, Jos
3 Ivanov, Stefan P.
3 Kraus, Margarita
3 Mikeš, Josef
3 Niedziałomski, Kamil
3 Palomo, Francisco J.
3 Puhle, Christof
3 Semmelmann, Uwe
3 Stepanov, Sergeĭ Evgen’evich
3 Vincze, Csaba
2 Abdelmalek, Mohammed
2 Bazzoni, Giovanni
2 Becker-Bender, Julia
2 Benameur, Moulay-Tahar
2 Crâşmăreanu, Mircea
2 Djorić, Miloš
2 Djorić, Mirjana
2 Garcia-Fernandez, Mario
2 Garvín, Antonio
2 Geipel, Jakob C.
2 Götz, Stefan
2 Grigorian, Sergey
2 Große, Nadine
2 Habib, Georges
2 Hofbauer, Franz
2 Kassuba, Mario
2 Kawamura, Masaya
2 Khromova, O. P.
2 Kim, Eui Chul
2 Klepikov, Pavel’ Nikolaevich
2 Konstantis, Panagiotis
2 Krasnov, Kirill V.
2 Lechtenfeld, Olaf
2 Lotoreichik, Vladimir
2 Mathai, Varghese
2 Moruz, Marilena
2 Nikonorov, Yurii Gennadyevich
2 Olmos, Carlos Enrique
2 Ourmiéres-Bonafos, Thomas
2 Podestà, Fabio
2 Popov, Alexander D.
2 Raffero, Alberto
2 Rodionov, Evgeniĭ Dmitrievich
2 Rovenskiĭ, Vladimir Yuzefovich
2 Schoemann, Nils
2 Spiro, Andrea F.
2 Statha, Marina
2 Szabo, Richard J.
2 Tralle, Aleksy E.
2 Ugarte, Luis
2 Vezzoni, Luigi
2 Willse, Travis
1 Abuaf, Roland
1 Adamec, Ladislav
1 Afentoulidis-Almpanis, Spyridon
1 Affleck, Ian
1 Afriat, Alexander
1 Aktay, Şirin
1 Al-Solamy, Falleh Rijaullah
1 Albanese, Michael
1 Alexandrov, Bogdan
1 Ali, Sajid
1 Alt, Jesse
1 Ammann, Bernd Eberhard
1 Anderson, Dave Edward
1 Andrada, Adrián
1 Angella, Daniele
1 Angus, Stephen
1 Antunes, Pedro Ricardo Simão
1 Azad, Hassan
1 Baez, John C.
1 Bagaglini, Leonardo
1 Barberis, María Laura
1 Bärligea, Christoph Mark
1 Bedulli, Lucio
1 Benalili, Mohammed
...and 183 more Authors
all top 5

Cited in 93 Serials

28 Journal of Geometry and Physics
26 Annals of Global Analysis and Geometry
17 Differential Geometry and its Applications
11 Communications in Mathematical Physics
6 Advances in Mathematics
5 Geometriae Dedicata
5 Journal of Geometry
5 Manuscripta Mathematica
5 Mathematische Zeitschrift
5 Transactions of the American Mathematical Society
5 Transformation Groups
4 The Journal of Geometric Analysis
4 Journal of High Energy Physics
3 Mathematische Semesterberichte
3 Monatshefte für Mathematik
3 Results in Mathematics
3 International Journal of Mathematics
3 Advances in Applied Clifford Algebras
3 Complex Manifolds
2 Classical and Quantum Gravity
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 Russian Mathematics
2 Potential Analysis
2 Calculus of Variations and Partial Differential Equations
2 Balkan Journal of Geometry and its Applications (BJGA)
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 Communications in Mathematics
2 European Journal of Mathematics
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 Physica A
1 Physics Letters. B
1 Physics Reports
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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 Applications of Mathematics
1 Historia Mathematica
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Filomat
1 Journal of Lie Theory
1 Annales Academiae Scientiarum Fennicae. Mathematica
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 Oberwolfach Reports
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 Asian-European Journal of Mathematics
1 Advances in Mathematical Physics
1 Journal of Geometric Mechanics
1 Analysis and Mathematical Physics
1 Arabian Journal of Mathematics
1 Axioms
1 EMS Surveys in Mathematical Sciences
1 Complex Analysis and its Synergies
all top 5

Cited in 43 Fields

193 Differential geometry (53-XX)
42 Global analysis, analysis on manifolds (58-XX)
31 Quantum theory (81-XX)
21 Partial differential equations (35-XX)
19 Manifolds and cell complexes (57-XX)
17 Relativity and gravitational theory (83-XX)
16 Nonassociative rings and algebras (17-XX)
15 Topological groups, Lie groups (22-XX)
11 Algebraic geometry (14-XX)
11 Several complex variables and analytic spaces (32-XX)
6 Group theory and generalizations (20-XX)
5 Geometry (51-XX)
4 History and biography (01-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Convex and discrete geometry (52-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Associative rings and algebras (16-XX)
2 Functions of a complex variable (30-XX)
2 Operator theory (47-XX)
2 Probability theory and stochastic processes (60-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-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 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-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)

Citations by Year

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