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Arbeitsgruppe Differentialgeometrie

Sekretariat
Kollegiengebäude Mathematik (20.30)
Zimmer 1.003
Ute Peters

Adresse
Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe

Öffnungszeiten:
Mo-Fr 09:00-15:00
Für Studierende:
Mo-Fr 09:15-11:15

Tel.: 0721 608 43943

Fax.: 0721 608 46909

Publications

Preprints (on the arxiv)

Nonconnected Moduli Spaces of Nonnegative Sectional Curvature Metrics on Simply Connected Manifolds (with A. Dessai and S. Klaus) (2016)
Differentiable stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature (with M. Wiemeler) (2014)
Seifert Fiberings and Collapsing of Infrasolv Spaces (with O. Baues) (2012)
A note on nonnegative curvature and (rational) homotopy type (with A. Dessai) (2011)


Monographs

Moduli Spaces of Riemannian Metrics. (with D.J. Wraith) Oberwolfach Seminars Vol. 46, Birkhäuser, Basel 2015.
Endlichkeitssätze und positive Krümmung. Habilitation thesis. MPI MIS Lecture Notes Series 9, Leipzig 2000.
Sofia Kowalewskaja. (with P. Hawig) Scientific biography of the Russian mathematician and author S. W. Kowalewskaja (1850-1891). Birkhäuser, Basel 1993.


Research Articles

Spaces and moduli spaces of Riemannian metrics. Front. Math. China 11, no. 5, 1335–1343 (2016)
Fiber-Bragg Gitter basierte Formsensorik in der Ureterorenoskopie - Konstruktion und Test eines Ausführungskonzeptes. (with H. Pauer, D. Teber und H. Woern) In: Tagungsband der 15. Jahrestagung der Deutschen Gesellschaft für Computer- und Roboterassistierte Chirurgie (CURAC) (2016)
Towards 1-Component Bragg-Grating Based Shape Sensing. (with H. Pauer, M. Rosenberger, M. Girschikofsky, R. Hellmann, H. Woern) In: 19th International Conference on Information Fusion Heidelberg, Germany - July 5-8, 2016 (2016)
Shape Sensing Based on FBG-Technology - Extension of the Application Possibilities Due to Innovative Sensor-Configurations. (with H. Pauer, Chr. Ledermann, J. Raczkowsky, H. Woern) In: Navigation and Actuation of Flexible Instruments in Medical Applications (NAFIMA) Workshop Proceedings - IROS2015 (2015)
Pseudo-Data Generation Software for FBG-Optical Fiber Based Shape Sensing. (with H. Pauer, Chr. Ledermann, H. Woern) In: Proceedings - SENSOR 2015 (AMA Conferences), ISBN 978-3-9813484-8-4 (2015)
Validation of a Pseudo-Data-Generation-Software for FBG-Optical Fiber Based Shape Sensing. (with H. Pauer, Chr. Ledermann, L. Vojkovic, H. Woern) In: Proceedings Innovation Messtechnik 2015, ISBN 978-3-8440-3560-5 (2015)
Non-Linear Compensation of Production Inaccuracies and Material Drift by Adjusting the Sensor Data Fusion Algorithms for Shape Sensing Based on FBG-Optical Fibers. (with H. Pauer, Chr. Ledermann, H. Woern) In: Proceedings of the 2014 IEEE Ninth International Conference on Multisensor Fusion and Information Integration (MFI) (2014)
Consistent Quality Evaluation Method for Shape Sensors based on FBG–Optical Fibers Used in Minimally Invasive Surgery. (with H. Pauer, Chr. Ledermann, H. Woern) In: Proceedings of the 17. ITG / GMA Fachtagung Sensoren und Messsysteme, Editor VDE Verlag Berlin - Offenbach
(2014)
Analyse der Anforderungen an Formsensoren zur Verwendung in der minimal-invasiven Chirurgie. (with H. Pauer, H. Kenngott, Chr. Ledermann, H. Woern) In: Tagungsband der 13. Jahrestagung der Deutschen Gesellschaft für Computer- und Roboterassistierte Chirurgie (CURAC) (2014)
Manifolds with almost nonnegative curvature operator and principal bundles. (with M. Herrmann and D. Sebastian) Annals of Global Analysis and Geometry, DOI10.1007/s10455-013-9372-2 (2013)
Collapsing and Almost Nonnegative Curvature. In: Bär, Lohkamp and Schwarz, Global Differential Geometry, Springer Proceedings in Mathematics 17, 93-106 (2012)
Nilpotency, Almost Nonnegative Curvature, and the Gradient Flow on Alexandrov Spaces. (with V. Kapovitch and A. Petrunin) Annals of Mathematics 171, 343–373 (2010)
Nonnegative Curvature and Cobordism Type. (with A. Dessai) Mathematische Zeitschrift, Z 257, no.1, 7–12 (2007)
Nonnegative Pinching, Homotopy Type and Bundles with infinitely many Souls. (with V. Kapovitch and A. Petrunin) Journal of Differential Geometry 71, 365–383 (2005)
Nonnegatively and Positively Curved Invariant Metrics on Circle Bundles. (with K. Shankar and K. Tapp) Proceedings of the A.M.S. 133, 2449-2459 (2005)
Metrics of Positive Ricci Curvature on Quotient Spaces. (with L. Schwachhöfer) Mathematische Annalen 330, 59–91 (2004)
Duality versus Dual Flatness in Quantum Information Geometry. (with N. Ay) Journal of Mathematical Physics 44, 1512–1518 (2003)
Geometric Diffeomorphism Finiteness in Low Dimensions and Homotopy Group Finiteness. Mathematische Annalen 322, 413–420 (2002)
Smooth Diameter and Eigenvalue Rigidity in Positive Ricci Curvature. Proceedings of the A.M.S. 130, 303–306 (2002)
Dually Flat Manifolds and Global Information Geometry. (with N. Ay) Open Systems and Information Dynamics 9, 195–200 (2002)
Asymptotical Flatness and Cone Structure at Infinity. (with A. Petrunin) Mathematische Annalen 321, 775–788 (2001)
Diffeomorphism Finiteness, Positive Pinching, and Second Homotopy. (with A. Petrunin) Geometric and Functional Analysis (GAFA) 9, 736–774 (1999)
Collapsing versus Positive Pinching. (with A. Petrunin and X. Rong) Geometric and Functional Analysis (GAFA) 9, 699–735 (1999)
Invariant Metrics of Positive Ricci Curvature on Principal Bundles. (with P. Gilkey and J.-H. Park) Mathematische Zeitschrift 227, 455-463 (1998)
Collapsing, Solvmanifolds and Infrahomogeneous Spaces. Differential Geometry and its Applications 7, 251–264 (1997)
On the Structure of Compact Simply Connected Manifolds of Positive Sectional Curvature. Geometriae Dedicata 67, 107–116 (1997)
Hausdorff Convergence and the Fundamental Group. Mathematische Zeitschrift 218, 207–211 (1995)


Mathematical Conference Proceedings

Fundamentals of Geometry. Oberwolfach Reports Volume 8(2), 999, European Mathematical Society Publishing House (2011)
Nilpotency and almost nonnegative curvature. Oberwolfach Reports 3(4), 2718-2721, European Mathematical Society Publishing House (2006)
Manifolds of positive Ricci curvature. Recent advances in geometry and topology, 385–390, Cluj University Press, Cluj-Napoca (2004)
Biquotients, curvature and homotopy Type. Oberwolfach Reports 1(4), 2509–2512, European Mathematical Society Publishing House (2004)
Hausdorff convergence and infrasolvmanifolds. Geometry and global analysis (Sendai, 1993), 387–397, Tohoku University Press, Sendai (1993)


Miscellanea

Albrecht Dürer als Mathematiker (2008)
Almost Nonnegative Curvature and Cohomogeneity One (with L. Schwachhöfer) (2001)
Differentialgeometrie und Schwarze Löcher (1998)