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Agricola, Ilka

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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
Documents Indexed: 48 Publications since 1998, including 8 Books
Reviewing Activity: 38 Reviews

Publications by Year

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
63
2006
On the holonomy of connections with skew-symmetric torsion. Zbl 1055.53031
Agricola, Ilka; Friedrich, Thomas
47
2004
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Zbl 1032.53041
Agricola, Ilka
25
2003
3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures. Zbl 1188.53041
Agricola, Ilka; Friedrich, Thomas
21
2010
The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\). Zbl 1435.53040
Agricola, Ilka; Ferreira, Ana Cristina; Friedrich, Thomas
18
2015
Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds. Zbl 1333.53037
Agricola, Ilka; Chiossi, Simon G.; Friedrich, Thomas; Höll, Jos
18
2015
Einstein manifolds with skew torsion. Zbl 1368.53034
Agricola, Ilka; Ferreira, Ana Cristina
17
2014
Old and new on the exceptional group \(G_2\). Zbl 1194.22023
Agricola, Ilka
14
2008
Twistorial eigenvalue estimates for generalized Dirac operators with torsion. Zbl 1287.58015
Agricola, Ilka; Becker-Bender, Julia; Kim, Hwajeong
11
2013
A note on flat metric connections with antisymmetric torsion. Zbl 1201.53052
Agricola, Ilka; Friedrich, Thomas
9
2010
Geometric structures of vectorial type. Zbl 1106.53033
Agricola, Ilka; Friedrich, Thomas
8
2006
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
The Casimir operator of a metric connection with skew-symmetric torsion. Zbl 1080.53043
Agricola, Ilka; Friedrich, Thomas
8
2004
On the topology and the geometry of SO(3)-manifolds. Zbl 1218.53047
Agricola, Ilka; Becker-Bender, Julia; Friedrich, Thomas
7
2011
Upper bounds for the first eigenvalue of the Dirac operator on surfaces. Zbl 0941.58018
Agricola, Ilka; Friedrich, Thomas
7
1999
The geodesics of metric connections with vectorial torsion. Zbl 1130.53029
Agricola, Ilka; Thier, Christian
7
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
7
2005
Non-integrable geometries, torsion, and holonomy. Zbl 1220.53003
Agricola, Ilka
6
2010
Killing spinors in supergravity with 4-fluxes. Zbl 1045.83045
Agricola, Ilka; Friedrich, Thomas
5
2003
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
Solvmanifolds with integrable and non-integrable \(G_{2}\) structures. Zbl 1146.53017
Agricola, Ilka; Chiossi, Simon G.; Fino, Anna
4
2007
Cones of \(G\) manifolds and Killing spinors with skew torsion. Zbl 1319.53043
Agricola, Ilka; Höll, Jos
4
2015
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
4
2016
Sp(3) structures on 14-dimensional manifolds. Zbl 1291.53036
Agricola, Ilka; Friedrich, Thomas; Höll, Jos
4
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
3
1999
\(S^6\) and the geometry of nearly Kähler 6-manifolds. Zbl 1381.53004
Agricola, Ilka; Borówka, Aleksandra; Friedrich, Thomas
3
2018
Generalizations of 3-Sasakian manifolds and skew torsion. Zbl 1448.53052
Agricola, Ilka; Dileo, Giulia
3
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
2
2009
Elementary geometry. Transl. from the German by Philip G. Spain. Zbl 1134.51011
Agricola, Ilka; Friedrich, Thomas
2
2008
On the history of the Hopf problem. Zbl 1381.53003
Agricola, Ilka; Bazzoni, Giovanni; Goertsches, Oliver; Konstantis, Panagiotis; Rollenske, Sönke
2
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
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
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
A note on generalized Dirac eigenvalues for split holonomy and torsion. Zbl 1317.53068
Agricola, Ilka; Kim, Hwajeong
1
2014
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
Generalizations of 3-Sasakian manifolds and skew torsion. Zbl 1448.53052
Agricola, Ilka; Dileo, Giulia
3
2020
\(S^6\) and the geometry of nearly Kähler 6-manifolds. Zbl 1381.53004
Agricola, Ilka; Borówka, Aleksandra; Friedrich, Thomas
3
2018
On the history of the Hopf problem. Zbl 1381.53003
Agricola, Ilka; Bazzoni, Giovanni; Goertsches, Oliver; Konstantis, Panagiotis; Rollenske, Sönke
2
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
4
2016
The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\). Zbl 1435.53040
Agricola, Ilka; Ferreira, Ana Cristina; Friedrich, Thomas
18
2015
Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds. Zbl 1333.53037
Agricola, Ilka; Chiossi, Simon G.; Friedrich, Thomas; Höll, Jos
18
2015
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces. Zbl 1333.53069
Agricola, Ilka; Ferreira, Ana Cristina; Storm, Reinier
5
2015
Cones of \(G\) manifolds and Killing spinors with skew torsion. Zbl 1319.53043
Agricola, Ilka; Höll, Jos
4
2015
Einstein manifolds with skew torsion. Zbl 1368.53034
Agricola, Ilka; Ferreira, Ana Cristina
17
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
11
2013
Sp(3) structures on 14-dimensional manifolds. Zbl 1291.53036
Agricola, Ilka; Friedrich, Thomas; Höll, Jos
4
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
21
2010
A note on flat metric connections with antisymmetric torsion. Zbl 1201.53052
Agricola, Ilka; Friedrich, Thomas
9
2010
Non-integrable geometries, torsion, and holonomy. Zbl 1220.53003
Agricola, Ilka
6
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
14
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
63
2006
Geometric structures of vectorial type. Zbl 1106.53033
Agricola, Ilka; Friedrich, Thomas
8
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
7
2005
On the holonomy of connections with skew-symmetric torsion. Zbl 1055.53031
Agricola, Ilka; Friedrich, Thomas
47
2004
The Casimir operator of a metric connection with skew-symmetric torsion. Zbl 1080.53043
Agricola, Ilka; Friedrich, Thomas
8
2004
The geodesics of metric connections with vectorial torsion. Zbl 1130.53029
Agricola, Ilka; Thier, Christian
7
2004
Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory. Zbl 1032.53041
Agricola, Ilka
25
2003
Killing spinors in supergravity with 4-fluxes. Zbl 1045.83045
Agricola, Ilka; Friedrich, Thomas
5
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
7
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 248 Authors

20 Agricola, Ilka
17 Friedrich, Thomas
8 Albuquerque, Rui P.
5 Dileo, Giulia
5 Ferreira, Ana Cristina
5 Reggiani, Silvio
4 Chrysikos, Ioannis
4 Draper, Cristina
4 Lotta, Antonio
4 Parton, Maurizio
4 Pfäffle, Frank Jochen
4 Piccinni, Paolo
4 Stephan, Christoph A.
4 Storm, Reinier
3 Băbălîc, Elena-Mirela
3 Branding, Volker
3 Chiossi, Simon G.
3 Gilkey, Peter B.
3 Höll, Jos
3 Ivanov, Stefan P.
3 Kraus, Margarita
3 Lazaroiu, Calin Iuliu
3 Mikeš, Josef
3 Moroianu, Andrei
3 Palomo, Francisco J.
3 Puhle, Christof
3 Semmelmann, Uwe
3 Stepanov, Sergeĭ Evgen’evich
3 Vincze, Csaba
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Bazzoni, Giovanni
2 Becker-Bender, Julia
2 Benameur, Moulay-Tahar
2 Crâşmăreanu, Mircea
2 Djorić, Miloš
2 Djorić, Mirjana
2 Fino, Anna
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 Kim, Eui Chul
2 Konstantis, Panagiotis
2 Krasnov, Kirill V.
2 Lechtenfeld, Olaf
2 Mathai, Varghese
2 Moruz, Marilena
2 Niedziałomski, Kamil
2 Nikonorov, Yurii Gennadyevich
2 Olmos, Carlos Enrique
2 Podestà, Fabio
2 Popov, Alexander D.
2 Raffero, Alberto
2 Rovenskiĭ, Vladimir Yuzefovich
2 Schoemann, Nils
2 Spiro, Andrea F.
2 Szabo, Richard J.
2 Tralle, Aleksy E.
2 Ugarte, Luis
2 Vezzoni, Luigi
2 Willse, Travis
1 Abuaf, Roland
1 Adamec, Ladislav
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 Angus, Stephen
1 Arvanitoyeorgos, Andreas
1 Azad, Hassan
1 Baez, John C.
1 Bagaglini, Leonardo
1 Barberis, María Laura
1 Bedulli, Lucio
1 Berceanu, Stefan
1 Bernig, Andreas
1 Bidabad, Behroz
1 Biswas, Indranil
1 Bocheński, Maciej Franciszek
1 Bögelein, Verena
1 Borówka, Aleksandra W.
1 Bruneau, Vincent
1 Čadek, Martin
1 Calvo-Andrade, Omegar
1 Cappelletti Montano, Beniamino
1 Charbonneau, Benoit
1 Cleyton, Richard
1 Cogliati, Alberto
1 Coman, Ioana Alexandra
...and 148 more Authors
all top 5

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
all top 5

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)

Citations by Year

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