Paper · Jul 21, 2017

Ricci Solitons on submanifolds of -Manifolds

Shyamal Kumar Hui, Rajendra Prasad, Tanumoy Pal

math.DGarXiv:1707.06815
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Abstract

The present paper deals with the study of Ricci solitons on invariant and anti-invariant submanifolds of -manifolds with respect to Riemannian connection as well as quarter symmetric metric connection.

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Submitted
Jul 21, 2017
Subjects
math.DG

Comments: 10 pages. The paper have been already submitted to a journal on 18th July, 2017. arXiv admin note: substantial text overlap with arXiv:1706.09159, arXiv:1707.04985, arXiv:1707.03618

Ricci solitons

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Connected papers

The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2016, plus the canon.

Connected papers This paper in the centre and the 8 papers closest to it around it, in date order clockwise from the top. The closer a paper sits to the centre, the stronger the connection. This paper Ricci solitons on Ricci pseudosymmetric (LCS)ₙ-manifolds (Shyamal Kumar Hui, Richard S. Lemence and Debabrata Chakraborty, 2017)7Hui 2017 Invariant submanifolds of generalized Sasakian-space-forms (Shyamal Kumar Hui, Siraj Uddin, Ali H. Alkhaldi et al., 2017)2Hui 2017 Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds (Shyamal Kumar Hui and Joydeb Roy, 2017)1Hui 2017 η- Ricci Solitons on Kenmotsu manifold with Generalized Symmetric Metric Connection (Mohd. Danish Siddiqi and Oğuzhan Bahadır, 2018)3Siddiqi 2018 Certain results on (LCS)n-manifolds (Vishnuvardhana. S. V., Venkatesha and S. K. Hui, 2019)8V. 2019 *-Conformal η-Ricci Soliton on Sasakian manifold (Soumendu Roy, Santu Dey, Arindam Bhattacharyya et al., 2019)6Roy 2019 Investigations on a Riemannian manifold with a semi-symmetric non-metric connection and gradient solitons (Krishnendu De, Uday Chand De and Aydin Gezer, 2024)5De 2024 Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection (Uday Chand De, Krishnendu De and Sinem Güler, 2024)4De 2024
Closer to the centre: more closely connected. Clockwise from the top: oldest to newest. Ricci flowWider flowsalso connected to each other
  1. Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds

    Shyamal Kumar Hui and Joydeb Roy

    Topics Ricci solitons · Same author Shyamal Kumar Hui · Shared terms “invariant submanifolds”, “anti invariant”, “metric connection”

  2. Invariant submanifolds of generalized Sasakian-space-forms

    Shyamal Kumar Hui, Siraj Uddin, Ali H. Alkhaldi et al.

    Topics Ricci solitons · Same author Shyamal Kumar Hui · Shared terms “invariant submanifolds”, “symmetric metric”, “metric connection”

  3. - Ricci Solitons on Kenmotsu manifold with Generalized Symmetric Metric Connection

    Mohd. Danish Siddiqi and Oğuzhan Bahadır

    Topics Ricci solitons · Shared terms “symmetric metric”, “metric connection”

  4. Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection

    Uday Chand De, Krishnendu De and Sinem Güler

    Topics Ricci solitons · Shared terms “symmetric metric”, “metric connection”

  5. Investigations on a Riemannian manifold with a semi-symmetric non-metric connection and gradient solitons

    Krishnendu De, Uday Chand De and Aydin Gezer

    Topics Ricci solitons · Shared terms “metric connection”

  6. *-Conformal η-Ricci Soliton on Sasakian manifold

    Soumendu Roy, Santu Dey, Arindam Bhattacharyya et al.

    Topics Ricci solitons · Same author Shyamal Kumar Hui

  7. Ricci solitons on Ricci pseudosymmetric -manifolds

    Shyamal Kumar Hui, Richard S. Lemence and Debabrata Chakraborty

    Topics Ricci solitons · Same author Shyamal Kumar Hui

  8. Certain results on (LCS)n-manifolds

    Vishnuvardhana. S. V., Venkatesha and S. K. Hui

    Topics Ricci solitons · Same author Shyamal Kumar Hui

Read around it

Background reading

The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.

Ricci solitons Metrics that change under Ricci flow only by scaling and diffeomorphisms: shrinking, steady or expanding solitons. Start with: The Ricci flow on surfaces (Hamilton, 1988)

In the guidebook

  1. 11B.1
    Ricci SolitonsBook 11B · Solitons, Compactness and Singularities

    Self-similar solutions: the Gaussian, cylinders, the cigar and the Bryant soliton.

  2. 12B.2
    The Asymptotic Soliton and Three-Dimensional ShrinkersBook 12B · κ-Solutions and Surgery

    Perelman's Proposition 11.2 proved with Morgan and Tian: the reduced-length bounds on κ-solutions, the limit of rescalings, the equality case, and the classification of shrinking solitons in dimensions two and three.