Paper · Jan 21, 2019

Certain results on (LCS)n-manifolds

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

math.DGarXiv:1901.06873
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Abstract

The purpose of the present paper is to study semi-generalized recurrent, semi-generalized Ricci recurrent and conformal Ricci soliton on (LCS)n-manifold.

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Submitted
Jan 21, 2019
Subjects
math.DG
Ricci solitonsAlmost & η-Ricci solitons

Its neighbourhood

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  1. Conformal Ricci solitons on generalized ()-space forms

    Mehraj Ahmad Lone and Towseef Ali Wani

    Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “conformal Ricci”

  2. Symmetry and pseudosymmetry properties of Vaidya-Bonner-de Sitter spacetime

    Absos Ali Shaikh, Shyamal kumar Hui, Mousumi Sarkar et al.

    Topics Almost & η-Ricci solitons, Ricci solitons · Same author S. K. Hui · Shared terms “recurrent”

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

    Soumendu Roy, Santu Dey, Arindam Bhattacharyya et al.

    Topics Almost & η-Ricci solitons, Ricci solitons · Same author S. K. Hui

  4. On curvature related geometric properties of Hayward black hole spacetime

    Absos Ali Shaikh, Shyamal Kumar Hui, Biswa Ranjan Datta et al.

    Topics Almost & η-Ricci solitons, Ricci solitons · Same author S. K. Hui

  5. -contact metric as -conformal Ricci soliton

    Dibakar Dey and Pradip Majhi

    Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “conformal Ricci”

  6. Characteristics of conformal Ricci soliton on warped product spaces

    Dipen Ganguly, Nirabhra Basu and Arindam Bhattacharyya

    Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “conformal Ricci”

  7. Characteristics of almost conformal Ricci solitons on Sasakian manifold

    Dipen Ganguly, Nirabhra Basu and Arindam Bhattacharyya

    Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “conformal Ricci”

  8. K-contact manifolds admitting some geometric solitons with Semi-Symmetric Non-Metric Connection

    Bidhan Mondal, Nirabhra Basu and Arindam Bhattacharyya

    Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “conformal Ricci”

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) Almost & η-Ricci solitons Variations on the Ricci soliton equation: let the constant λ become a function (almost solitons), add a term along a contact form (η-Ricci… Start with: Ricci almost solitons (Pigola 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.