<abstract xmlns="http://www.w3.org/1999/xhtml"><p>After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way. Next, following the classical study of coeffective cohomology, a special attention is paid to the study of some problems concerning coeffective cohomology in the graded algebra of 1– differentiable forms. Also, the case of an almost contact metric (2<italic>n</italic>+1)– dimensional manifold is considered and studied in our context.</p></abstract>

After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way. Next, following the classical study of coeffective cohomology, a special attention is paid to the study of some problems concerning coeffective cohomology in the graded algebra of 1– differentiable forms. Also, the case of an almost contact metric (2n+1)– dimensional manifold is considered and studied in our context.

A Note on Coeffective 1–Differentiable Cohomology

Department of Mathematics and Computer Science, Transilvania University of Brasov, Brasov 500091, Str. Iuliu Maniu 50, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A Note on Coeffective 1\u2013Differentiable Cohomology"}

After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a...

A Note on Coeffective 1–Differentiable Cohomology

Publié en ligne: 10 déc. 2014

Pages: 127 - 139

Reçu: 01 août 2013

Accepté: 01 nov. 2013

DOI: https://doi.org/10.2478/auom-2014-0011

Mots clés
1–differentiable form, coeffective cohomology, almost contact structure

© 2014 Cristian Ida and Sabinşan Mercheşan

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Note on Coeffective 1–Differentiable Cohomology

Publié en ligne: 10 déc. 2014

Pages: 127 - 139

Reçu: 01 août 2013

Accepté: 01 nov. 2013

DOI: https://doi.org/10.2478/auom-2014-0011

Mots clés1–differentiable form, coeffective cohomology, almost contact structure

© 2014 Cristian Ida and Sabinşan Mercheşan

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
1–differentiable form, coeffective cohomology, almost contact structure