Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds

We prove the rigidity and vanishing of several indices of ''geometrically natural'' twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2017
Hauptverfasser: Garcia-Pulido, A.L., Herrera, R.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/148567
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds / A.L. Garcia-Pulido, R. Herrera // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Garcia-Pulido, A.L.
Herrera, R.
author_facet Garcia-Pulido, A.L.
Herrera, R.
citation_txt Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds / A.L. Garcia-Pulido, R. Herrera // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We prove the rigidity and vanishing of several indices of ''geometrically natural'' twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.
first_indexed 2025-11-28T11:06:08Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-28T11:06:08Z
publishDate 2017
publisher Інститут математики НАН України
record_format dspace
spelling Garcia-Pulido, A.L.
Herrera, R.
2019-02-18T15:57:52Z
2019-02-18T15:57:52Z
2017
Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds / A.L. Garcia-Pulido, R. Herrera // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53C10; 53C15; 53C25; 58J20; 57S15
DOI:10.3842/SIGMA.2017.027
https://nasplib.isofts.kiev.ua/handle/123456789/148567
We prove the rigidity and vanishing of several indices of ''geometrically natural'' twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.
The first named author was supported by CONACyT. The second named author was partially
 supported by a CONACyT grant. The second named author wishes to thank the International
 Centre for Theoretical Physics and the Institut des Hautes Etudes Scientifiques for their hospi- ´
 tality and support. We would like to express our gratitude to the anonymous referees for their
 careful reading of this manuscript and their helpful comments.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
Article
published earlier
spellingShingle Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
Garcia-Pulido, A.L.
Herrera, R.
title Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
title_full Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
title_fullStr Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
title_full_unstemmed Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
title_short Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
title_sort rigidity and vanishing theorems for almost even-clifford hermitian manifolds
url https://nasplib.isofts.kiev.ua/handle/123456789/148567
work_keys_str_mv AT garciapulidoal rigidityandvanishingtheoremsforalmostevencliffordhermitianmanifolds
AT herrerar rigidityandvanishingtheoremsforalmostevencliffordhermitianmanifolds