On the Hodge-type decomposition and cohomology groups of k-Cauchy–Fueter complexes over domains in the quaternionic space-Reference-Cited by-同舟云学术

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On the Hodge-type decomposition and cohomology groups of k-Cauchy–Fueter complexes over domains in the quaternionic space

Published:2016-09 Issue: Volume:107 Page:15-34
ISSN:0393-0440
Container-title:Journal of Geometry and Physics
language:en
Short-container-title:Journal of Geometry and Physics

Author:

Chang Der-Chen,Markina Irina^ORCID,Wang Wei

Funder

NSF

Norwegian Research Council

National Nature Science Foundation in China

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference24 articles.

1. Cohomology and massless fields;Eastwood;Comm. Math. Phys.,1980

2. Complex manifolds and mathematical physics;Wells;Bull. Amer. Math. Soc.,1979

3. The k-Cauchy–Fueter complexes, Penrose transformation and Hartogs’ phenomenon for quaternionic k-regular functions;Wang;J. Geom. Phys.,2010

4. Quaternionic complexes;Baston;J. Geom. Phys.,1992

5. Complexes of invariant differential operators in several quaternionic variables;Bureš;Complex Var. Elliptic Equ.,2006

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1. Hartogs Phenomena for Discrete k-Cauchy–Fueter Operators;The Journal of Geometric Analysis;2023-05-17

2. The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method;Complex Analysis and Operator Theory;2022-03-25

3. On quaternionic complexes over unimodular quaternionic manifolds;Differential Geometry and its Applications;2018-06

4. The Neumann Problem for the k-Cauchy–Fueter Complex over k-Pseudoconvex Domains in $$\mathbb {R}^4$$ R 4 and the $$L^2$$ L 2 Estimate;The Journal of Geometric Analysis;2018-05-18

5. On the weighted L2 estimate for the k-Cauchy–Fueter operator and the weighted k-Bergman kernel;Journal of Mathematical Analysis and Applications;2017-08

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