From Dual Connections to Almost Contact Structures

A dualistic structure on a smooth Riemaniann manifold <i<M</i< is a triple <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mo<(</mo<<mi<M</mi<<mo<,</mo<<...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Emmanuel Gnandi [verfasserIn] Stéphane Puechmorel [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	dual connections autodual connections torsionless dual connections autodual torsionless connection (Levi-Civita connection) gauge equation of dual connections almost cosymplectic structure

Übergeordnetes Werk:	In: Mathematics - MDPI AG, 2013, 10(2022), 20, p 3822
Übergeordnetes Werk:	volume:10 ; year:2022 ; number:20, p 3822

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/math10203822

Katalog-ID:	DOAJ084116463

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language	English
source	In Mathematics 10(2022), 20, p 3822 volume:10 year:2022 number:20, p 3822
sourceStr	In Mathematics 10(2022), 20, p 3822 volume:10 year:2022 number:20, p 3822
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	dual connections autodual connections torsionless dual connections autodual torsionless connection (Levi-Civita connection) gauge equation of dual connections almost cosymplectic structure Mathematics
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container_title	Mathematics
authorswithroles_txt_mv	Emmanuel Gnandi @@aut@@ Stéphane Puechmorel @@aut@@
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callnumber-first	Q - Science
author	Emmanuel Gnandi
spellingShingle	Emmanuel Gnandi misc QA1-939 misc dual connections misc autodual connections misc torsionless dual connections misc autodual torsionless connection (Levi-Civita connection) misc gauge equation of dual connections misc almost cosymplectic structure misc Mathematics From Dual Connections to Almost Contact Structures
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topic_title	QA1-939 From Dual Connections to Almost Contact Structures dual connections autodual connections torsionless dual connections autodual torsionless connection (Levi-Civita connection) gauge equation of dual connections almost cosymplectic structure
topic	misc QA1-939 misc dual connections misc autodual connections misc torsionless dual connections misc autodual torsionless connection (Levi-Civita connection) misc gauge equation of dual connections misc almost cosymplectic structure misc Mathematics
topic_unstemmed	misc QA1-939 misc dual connections misc autodual connections misc torsionless dual connections misc autodual torsionless connection (Levi-Civita connection) misc gauge equation of dual connections misc almost cosymplectic structure misc Mathematics
topic_browse	misc QA1-939 misc dual connections misc autodual connections misc torsionless dual connections misc autodual torsionless connection (Levi-Civita connection) misc gauge equation of dual connections misc almost cosymplectic structure misc Mathematics
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title	From Dual Connections to Almost Contact Structures
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title_full	From Dual Connections to Almost Contact Structures
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title_auth	From Dual Connections to Almost Contact Structures
abstract	A dualistic structure on a smooth Riemaniann manifold <i<M</i< is a triple <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mo<(</mo<<mi<M</mi<<mo<,</mo<<mi<g</mi<<mo<,</mo<<mo<∇</mo<<mo<)</mo<</mrow<</semantics<</math<</inline-formula< with <i<g</i< a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From <i<g</i< and ∇, dual connection <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<msup<<mo<∇</mo<<mo<*</mo<</msup<</semantics<</math<</inline-formula< can be defined. In this work, we give conditions on the basis of this notion for a manifold to admit an almost contact structure and some related structures: almost contact metric, contact, contact metric, cosymplectic, and co-Kähler in the three-dimensional case.
abstractGer	A dualistic structure on a smooth Riemaniann manifold <i<M</i< is a triple <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mo<(</mo<<mi<M</mi<<mo<,</mo<<mi<g</mi<<mo<,</mo<<mo<∇</mo<<mo<)</mo<</mrow<</semantics<</math<</inline-formula< with <i<g</i< a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From <i<g</i< and ∇, dual connection <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<msup<<mo<∇</mo<<mo<*</mo<</msup<</semantics<</math<</inline-formula< can be defined. In this work, we give conditions on the basis of this notion for a manifold to admit an almost contact structure and some related structures: almost contact metric, contact, contact metric, cosymplectic, and co-Kähler in the three-dimensional case.
abstract_unstemmed	A dualistic structure on a smooth Riemaniann manifold <i<M</i< is a triple <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mrow<<mo<(</mo<<mi<M</mi<<mo<,</mo<<mi<g</mi<<mo<,</mo<<mo<∇</mo<<mo<)</mo<</mrow<</semantics<</math<</inline-formula< with <i<g</i< a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From <i<g</i< and ∇, dual connection <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<msup<<mo<∇</mo<<mo<*</mo<</msup<</semantics<</math<</inline-formula< can be defined. In this work, we give conditions on the basis of this notion for a manifold to admit an almost contact structure and some related structures: almost contact metric, contact, contact metric, cosymplectic, and co-Kähler in the three-dimensional case.
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title_short	From Dual Connections to Almost Contact Structures
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