Dirac Operators in Riemannian Geometry
By T. Friedrich. 2000
609 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics, Political Science and International Relations
View Paper: https://www.semanticscholar.org/paper/b24728402642ceaa7f1b6fa36a3c7b320e673acc
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In Applied Mathematics
- T. Dumitrescu
- G. Festuccia
- V. Guillemin
- R. O. Buachalla
- Yael Karshon
- Bernd Ammann
- V. Ginzburg
- Marc Rieffel
In Mathematical Physics
- T. Dumitrescu
- G. Festuccia
- V. Guillemin
- R. O. Buachalla
- Yael Karshon
- Bernd Ammann
- V. Ginzburg
- Marc Rieffel
In Political Science and International Relations
Citations in the corpus
- Noncommutative K\"ahler Structures on Quantum Homogeneous Spaces (2011, background): “ian and symplectic, and so, it is K¨ahler. It now follows from Corollary 7.15 that dim|H(k,k| ≥ 1, for all k. Hence, it has dimension of at least classical value. Motivated by the classical situation [12] we define the Dirac operator associated to a K¨ahler structure to be D/ := ∂ +∂∗ 38 restricted t”
- The smallest Dirac eigenvalue in a spin-conformal class and cmc-immersions (2003, methodology): “For details we refer to textbooks as for example [16, 28, 35] or to the beautifully written self-contained introduction [19].”
- Moment Maps, Cobordisms, and Hamiltonian Group Actions (2002, methodology): “We refer the reader to [FF] or [Fr] for the proof.”
- Parallel spinors and connections with skew-symmetric torsion in string theory (2001, neutral): “In case of a Riemannian manifold the well-known Schrödinger-Lichnerowicz-formula expresses the square of the Dirac operator with respect to the Levi-Civita connection by the spinorial Laplace operator and some curvature term (see [45, 14]).”
- Exploring curved superspace (2012, background): “It has been studied extensively in the mathematical literature; see for instance [4,5] and references therein.”
- Vector bundles and Gromov-Hausdorff distance (2006, methodology): “For this it is convenient to use an explicit description of the projective module of smooth cross-sections of the tangent bundle of G/H , along the lines given in [59, 16, 4, 50].”