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Title of Journal: Adv Appl Clifford Algebras

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Abbravation: Advances in Applied Clifford Algebras

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Springer Basel

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DOI

10.1016/0378-7753(85)88027-7

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1661-4909

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11Forms Acting on Spinors on Kähler Surfaces

Authors: Rafael de Freitas Leão
Publish Date: 2014/12/31
Volume: 25, Issue: 3, Pages: 569-575
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Abstract

It is known that for Dirac operators on Riemann surfaces twisted by line bundles with HermitianEinstein connections it is possible to obtain estimates for the first eigenvalue in terms of the topology of the twisting bundle 8 Attempts to generalize topological estimates for higher rank bundles or higher dimensional manifolds have been so far unsuccessful In this work we construct a class of examples making explicit one problem that must be addressed in attempts to generalize such topological estimates

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  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
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  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
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  10. Operator Identities in q -Deformed Clifford Analysis
  11. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  12. Multiplicative Representation of a Hyperbolic non Distributive Algebra
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  14. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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