Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Differential Geometry

arXiv:2202.02054 (math)
[Submitted on 4 Feb 2022]

Title:Yamabe solitons on conformal Sasaki-like almost contact B-metric manifolds

Authors:Mancho Manev
View PDF
Abstract:A Yamabe soliton is defined on arbitrary almost contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are studied. In this way, manifolds from one of the main classes of the studied manifolds are obtained. The same class contains the conformally equivalent manifolds of cosymplectic manifolds by the usual conformal transformation of the B-metric. An explicit 5-dimensional example of a Lie group is given, which is characterized in relation to the obtained results.
Comments: 12 pages
Subjects: Differential Geometry (math.DG)
MSC classes: Primary 53C25, 53D15, 53C50, Secondary 53C44, 53D35, 70G45
Cite as: arXiv:2202.02054 [math.DG]
  (or arXiv:2202.02054v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.2202.02054
Journal reference: Mathematics, 2022, 10(4):658, 11 pp
Related DOI: https://doi.org/10.3390/math10040658

Submission history

From: Mancho Manev [view email]
[v1] Fri, 4 Feb 2022 09:53:32 UTC (13 KB)
Full-text links:

Access Paper:

license icon view license
Current browse context:
math.DG
< prev   |   next >
new | recent | 2022-02
Change to browse by:
math

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)