[Logo] Dr. habil. Ilka Agricola

Articles

Old and New on the exceptional Lie group $G_2$
Ilka Agricola [pdf-file]
Notices of the AMS 55 (2008), 922-929; September 2008.
See also the pictures of our mathematical excursion to Niesky.

Zur Geschichte der Ausnahme-Lie-Gruppe $G_2$
Ilka Agricola [pdf-file]
Mitteilungen der DMV 15 (2007), 242-248.

Eigenvalue estimates for Dirac operators with parallel characteristic torsion
I. Agricola, Th. Friedrich, and M. Kassuba [Abstract] [pdf-file]
math.DG/0612304, to appear in Diff. Geom. Appl.

The Srní lectures on non-integrable geometries with torsion
I. Agricola [Abstract] [pdf-file]; with an appendix by Mario Kassuba [pdf-file].
math.DG/0606705, Arch. Math. 42 (2006), 5-84.

Solvmanifolds with integrable and non-integrable G_2 structures
I. Agricola, S. G. Chiossi and A. Fino [ps-file]
math.DG/0510300, Diff. Geom. Appl. 25 (2006), 125-135.

Geometric structures of vectorial type
I. Agricola and Th. Friedrich [ps-file]
math.DG/0509147, J. Geom. Phys. 56 (2006), 2403-2414. ZBL pre05080364

On the Ricci tensor in the common sector of type II string theory
I. Agricola, T. Friedrich, P.-A. Nagy, C. Puhle [Abstract] [ps-file]
hep-th/0412127, Class. Quant. Grav. 22 (2005) 2569-2577. ZBL 1074.81056, MR 2153698

The geodesics of metric connections with vectorial torsion
Ilka Agricola and Christian Thier [Abstract] [g-zipped ps-file]
math.DG/0309087, Ann. Global Anal. Geom. 26 (2004), 321-332. ZBL pre02158447, MR 2103403

Killing spinors in Supergravity with 4-fluxes
Ilka Agricola and Thomas Friedrich [Abstract] [g-zipped ps-file]
math.DG/0307360, Class. Quant. Grav. 20 (2003), 4707-4717. ZBL 1045.83045

The Casimir operator of a metric connection with skew-symmetric torsion
Ilka Agricola and Thomas Friedrich [Abstract] [g-zipped ps-file]
math.DG/0305233, Journ. Geom. Phys. 50 (2004), 188-204. ZBL 1080.53043, MR 2078225

On the holonomy of connections with skew-symmetric torsion
Ilka Agricola and Thomas Friedrich [Abstract] [g-zipped ps-file]
math.DG/0305069, Math. Ann. 328 (2004), 711-748. ZBL 1055.53031, MR 2047649

The algebra of K-invariant vector fields on a symmetric space G/K
Ilka Agricola and Roe Goodman [Abstract] [g-zipped ps-file]
math.RT/0207161, Michigan Journ. Math. 51 (2003), 607-630. ZBL 1043.22005, MR 2021011

Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
Ilka Agricola [Abstract] [g-zipped ps-file] [Journal link]
math.DG/0202094, Comm. Math. Phys. 232 (2003) 3, 535-563. ZBL 1032.53041, MR 1952476

Connexions sur les espaces homogènes naturellement réductifs et leurs opérateurs de Dirac
Ilka Agricola [g-zipped ps-file]
C. R. Acad. Sci. Paris, Ser. I 335 (2002), 43-46. ZBL 1010.53024, MR 1920993

A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
Ilka Agricola, Bernd Ammann and Thomas Friedrich [Abstract] [g-zipped ps-file] [Journal link]
math.DG/9812044, manuscripta math. 100 (1999) 2, 231-258. MR 1721635

Upper bounds for the first eigenvalue of the Dirac operator on surfaces
Ilka Agricola and Thomas Friedrich [Abstract] [g-zipped ps-file]
math.DG/9806081, Journ. Geom. Phys. (30) 1 (1999), 1-22. MR 1683995

The Gaussian Measure on Algebraic Varieties
Ilka Agricola and Thomas Friedrich [Abstract] [g-zipped ps-file]
math.DG/9804116, Fund. Math. 159 (1999), 91-98. MR 1669706

Covering groups of the gauge group for the standard elementary particle model
Ilka Agricola [Abstract] [g-zipped ps-file]
hep-th/9801011, MPI-PhT/97-44, Nucl. Phys. B 518, Issue 3 (1998), 729-744. MR 1624582

Please note: According to general copyright rules, only preliminary versions are made available here. For a final version of these papers, please consult the corresponding journal issue or contact me to get a reprint.

Questions and comments concerning this page should be addressed per e-mail to
agricola@mathematik.hu-berlin.de

Ilka Agricola / 07.04.2008