Paper · Oct 25, 2017

Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds

Shyamal Kumar Hui, Joydeb Roy

math.DGarXiv:1710.09080
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Abstract

The present paper deals with the study of Chaki-pseudo parallel and Deszcz-pseudo parallel invariant submanifolds of SQ-Sasakian manifolds with respect to Levi-Civita connection and semisymmetric metric connection and obtain that these two classes are equivalent with a certain condition. Also the invariant and anti-invariant submanifolds of SQ-Sasakian manifolds with respect to Levi-Civita connection as well as semisymmetric metric connection whose metrics are Ricci solitons are studied.

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Submitted
Oct 25, 2017
Subjects
math.DG

Comments: 15 pages. This paper is submitted to a journal on 25th October, 2017 for consideration of publication

Ricci solitonsSasakian & contact geometry

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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 Invariant submanifolds of generalized Sasakian-space-forms (Shyamal Kumar Hui, Siraj Uddin, Ali H. Alkhaldi et al., 2017)1Hui 2017 Ricci Solitons on submanifolds of (LCS)ₙ-Manifolds (Shyamal Kumar Hui, Rajendra Prasad and Tanumoy Pal, 2017)2Hui 2017 Para-Sasakian manifolds and *-Ricci solitons (D. G. Prakasha and Pundikala Veeresha, 2018)7Prakasha 2018 Sasakian Manifold and *-Ricci Tensor (Venkatesha. and Aruna Kumara H, 2018)5Venkatesha. 2018 *-Conformal η-Ricci Soliton on Sasakian manifold (Soumendu Roy, Santu Dey, Arindam Bhattacharyya et al., 2019)3Roy 2019 On the Generalised Ricci Solitons and Sasakian Manifolds (Ahmed Mohammed Cherif, Kaddour Zegga and Gherici Beldjilali, 2022)8Cherif 2022 Sasakian lift of Kaehler manifold and α-Sasakian Ricci solitons (Piotr Dacko, 2023)6Dacko 2023 Generalized η-Ricci solitons on LP-Sasakian manifolds admitting the general connection (Murat Altunbaş and Ayşe Karanlık Akpınar, 2025)4Altunbaş 2025
Closer to the centre: more closely connected. Clockwise from the top: oldest to newest. Ricci flowWider flowsalso connected to each other
  1. Invariant submanifolds of generalized Sasakian-space-forms

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

    Topics Sasakian & contact geometry, Ricci solitons · Same author Shyamal Kumar Hui · Shared terms “invariant submanifolds”, “Civita connection”, “Levi Civita”

  2. Ricci Solitons on submanifolds of -Manifolds

    Shyamal Kumar Hui, Rajendra Prasad and Tanumoy Pal

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

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

    Soumendu Roy, Santu Dey, Arindam Bhattacharyya et al.

    Topics Sasakian & contact geometry, Ricci solitons · Same author Shyamal Kumar Hui

  4. Generalized Ricci solitons on LP-Sasakian manifolds admitting the general connection

    Murat Altunbaş and Ayşe Karanlık Akpınar

    Topics Sasakian & contact geometry, Ricci solitons

  5. Sasakian Manifold and *-Ricci Tensor

    Venkatesha. and Aruna Kumara H

    Topics Sasakian & contact geometry, Ricci solitons

  6. Sasakian lift of Kaehler manifold and -Sasakian Ricci solitons

    Piotr Dacko

    Topics Sasakian & contact geometry, Ricci solitons · Shared terms “Civita connection”, “Levi Civita”

  7. Para-Sasakian manifolds and *-Ricci solitons

    D. G. Prakasha and Pundikala Veeresha

    Topics Sasakian & contact geometry, Ricci solitons

  8. On the Generalised Ricci Solitons and Sasakian Manifolds

    Ahmed Mohammed Cherif, Kaddour Zegga and Gherici Beldjilali

    Topics Sasakian & contact geometry, Ricci solitons

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) Sasakian & contact geometry Sasakian manifolds are odd-dimensional manifolds whose metric cone is Kähler. They carry a transverse Kähler structure, so Kähler–Ricci flow has an… Start with: THE SASAKI–RICCI FLOW (SMOCZYK et al., 2010)

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.