# zbMATH — the first resource for mathematics

## Habermann, Katharina

Compute Distance To:
 Author ID: habermann.katharina Published as: Habermann, K.; Habermann, Katharina; Neitzke, Katharina External Links: MGP · ResearchGate
 Documents Indexed: 22 Publications since 1990, including 4 Books Reviewing Activity: 31 Reviews
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#### Co-Authors

 15 single-authored 4 Habermann, Lutz 1 Brasch, Steffen 1 Fricke, Jan 1 Grenzebach, Gerrit 1 Herbst, Klaus-Dieter 1 Klein, Andreas G. 1 Rosenthal, Paul H.
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#### Serials

 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 3 Journal of Geometry and Physics 2 Manuscripta Mathematica 2 Mathematische Nachrichten 1 Communications in Mathematical Physics 1 Rostocker Mathematisches Kolloquium 1 Annals of Global Analysis and Geometry 1 Differential Geometry and its Applications 1 Calculus of Variations and Partial Differential Equations 1 Lecture Notes in Mathematics
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#### Fields

 15 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

15 Publications have been cited 76 times in 52 Documents Cited by Year
Introduction to symplectic Dirac operators. Zbl 1102.53032
Habermann, Katharina; Habermann, Lutz
2006
The Dirac operator on symplectic spinors. Zbl 0842.58042
Habermann, Katharina
1995
The twistor equation of Riemannian manifolds. Zbl 0732.53030
Habermann, Katharina
1990
Basic properties of symplectic Dirac operators. Zbl 1008.58024
Habermann, K.
1997
The graded algebra and the derivative $$\overline {\mathcal L}$$ of spinor fields related to the twistor equation. Zbl 0867.53033
Habermann, K.
1996
Twistor spinors and their zeroes. Zbl 0807.53037
Habermann, Katharina
1994
Symplectic Yang-Mills theory, Ricci tensor, and connections. Zbl 1125.53065
Habermann, Katharina; Habermann, Lutz; Rosenthal, Paul
2007
On the existence of pseudo-Riemannian metrics on the moduli space of symplectic structures. Zbl 1087.53077
Fricke, Jan; Habermann, Katharina; Habermann, Lutz
2005
Symplectic Dirac operators of Kähler manifolds. Zbl 0965.58025
Habermann, Katharina
2000
Symplectic Dirac operators on Hermitian symmetric spaces. Zbl 1179.32007
Brasch, Steffen; Habermann, Katharina; Habermann, Lutz
2009
The “Electronic Research Archive for Mathematics” (ERAM) at the SUB Göttingen. Zbl 1279.68343
Habermann, Katharina
2006
Lie derivative of symplectic spinor fields, metaplectic representation, and quantization. Zbl 1066.53140
Habermann, Katharina; Klein, Andreas
2003
Harmonic symplectic spinors on Riemann surfaces. Zbl 0892.53016
Habermann, K.
1997
Twistor-spinors on Riemannian manifolds and their zeros. Zbl 0787.53033
Habermann, Katharina
1993
Die Lorentz-Kraft auf pseudo-Riemannschen Mannigfaltigkeiten. (The Lorentz-force on pseudo-Riemannian manifolds). Zbl 0724.53046
Neitzke, Katharina
1990
Symplectic Dirac operators on Hermitian symmetric spaces. Zbl 1179.32007
Brasch, Steffen; Habermann, Katharina; Habermann, Lutz
2009
Symplectic Yang-Mills theory, Ricci tensor, and connections. Zbl 1125.53065
Habermann, Katharina; Habermann, Lutz; Rosenthal, Paul
2007
Introduction to symplectic Dirac operators. Zbl 1102.53032
Habermann, Katharina; Habermann, Lutz
2006
The “Electronic Research Archive for Mathematics” (ERAM) at the SUB Göttingen. Zbl 1279.68343
Habermann, Katharina
2006
On the existence of pseudo-Riemannian metrics on the moduli space of symplectic structures. Zbl 1087.53077
Fricke, Jan; Habermann, Katharina; Habermann, Lutz
2005
Lie derivative of symplectic spinor fields, metaplectic representation, and quantization. Zbl 1066.53140
Habermann, Katharina; Klein, Andreas
2003
Symplectic Dirac operators of Kähler manifolds. Zbl 0965.58025
Habermann, Katharina
2000
Basic properties of symplectic Dirac operators. Zbl 1008.58024
Habermann, K.
1997
Harmonic symplectic spinors on Riemann surfaces. Zbl 0892.53016
Habermann, K.
1997
The graded algebra and the derivative $$\overline {\mathcal L}$$ of spinor fields related to the twistor equation. Zbl 0867.53033
Habermann, K.
1996
The Dirac operator on symplectic spinors. Zbl 0842.58042
Habermann, Katharina
1995
Twistor spinors and their zeroes. Zbl 0807.53037
Habermann, Katharina
1994
Twistor-spinors on Riemannian manifolds and their zeros. Zbl 0787.53033
Habermann, Katharina
1993
The twistor equation of Riemannian manifolds. Zbl 0732.53030
Habermann, Katharina
1990
Die Lorentz-Kraft auf pseudo-Riemannschen Mannigfaltigkeiten. (The Lorentz-force on pseudo-Riemannian manifolds). Zbl 0724.53046
Neitzke, Katharina
1990
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#### Cited by 60 Authors

 6 Krýsl, Svatopluk 5 Habermann, Katharina 5 Somberg, Petr 3 Rawnsley, John H. 2 Cahen, Michel 2 Čap, Andreas 2 De Bie, Hendrik 2 de Medeiros, Paul 2 Ertem, Ümit 2 Gover, Ashwin Rod 2 Gutt, Simone 2 Habermann, Lutz 2 Hammerl, Matthias 2 Klinker, Frank 2 Korman, Eric O. 2 Soucek, Vladimir 1 Agricola, Ilka 1 Albuquerque, Rui P. 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Ammann, Bernd Eberhard 1 Armstrong, Stuart 1 Bach, Samuel 1 Baum, Helga 1 Becker-Bender, Julia 1 Bouche, Thierry 1 Brasch, Steffen 1 Bui Cao Van 1 Cardona, Sergio Andres Holguin 1 Chrysikos, Ioannis 1 Czajko, Jakub 1 Deǧirmenci, Nedim 1 Dostálová, Marie 1 Dymarsky, Anatoly 1 Fulp, Ronald Owen 1 García-Compeán, Hugo 1 Gel’fand, Israil’ Moiseevich 1 Holíková, Marie 1 Karapazar, Şenay 1 Kieu Phuong Chi 1 Kim, Hwajeong 1 Klein, Andreas G. 1 Křižka, Libor 1 La Fuente Gravy, Laurent 1 Lischewski, Andree 1 Melani, Valerio 1 Nguyen Huu Quang 1 Pestun, Vasily 1 Picken, Roger F. 1 Rajeev, Sarada G. 1 Retakh, Vladimir Solomonovich 1 Reuter, Max 1 Rosenthal, Paul H. 1 Shubin, Mikhail Aleksandrovich 1 Šilhan, Josef 1 Solórzano, Pedro 1 Sommen, Franciscus 1 Téllez Téllez, Iván 1 Vassilevich, Dmitri V. 1 Weiss, Hartmut 1 Witt, Frederik
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#### Cited in 26 Serials

 10 Journal of Geometry and Physics 5 Differential Geometry and its Applications 4 Journal of Mathematical Physics 3 Annals of Global Analysis and Geometry 3 Advances in Applied Clifford Algebras 3 Journal of High Energy Physics 2 Communications in Mathematical Physics 2 Advances in Mathematics 2 Manuscripta Mathematica 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 General Relativity and Gravitation 1 Nuclear Physics. B 1 Chaos, Solitons and Fractals 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 International Journal of Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Transformation Groups 1 Mathematical Physics, Analysis and Geometry 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Mathematics in Computer Science 1 Complex Analysis and Operator Theory
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#### Cited in 23 Fields

 41 Differential geometry (53-XX) 21 Global analysis, analysis on manifolds (58-XX) 12 Quantum theory (81-XX) 6 Nonassociative rings and algebras (17-XX) 4 Relativity and gravitational theory (83-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)