Yazar "Yoldas, Halil Ibrahim" seçeneğine göre listele

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    Öğe
    Certain Curvature Conditions on Kenmotsu Manifolds and *-?-Ricci Solitons
    (Mdpi, 2023) Yoldas, Halil Ibrahim; Haseeb, Abdul; Mofarreh, Fatemah
    The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with ??-?-Ricci solitons. First we find some necessary conditions for such a manifold to be f-Einstein. Then, we study the notion of ??-?-Ricci soliton on this manifold and prove some significant results related to this notion. Finally, we construct a nontrivial example of three-dimensional Kenmotsu manifolds to verify some of our results.
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    Notes on ?-Einstein solitons on para-Kenmotsu manifolds
    (Wiley, 2023) Yoldas, Halil Ibrahim
    The present paper deals with the investigation of Para-Kenmotsu manifolds admitting ?-Einstein solitons. Some necessary conditions for such manifolds to be Einstein are given, and it is proven that if a para-Kenmotsu manifold E admits an ?-Einstein soliton, then the manifold E is Einstein. Then, some noteworthy characterizations that classify para-Kenmotsu manifolds admitting such solitons are obtained.
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    Öğe
    Solitons of ?-Ricci-Bourguignon Type on Submanifolds in (LCS)m Manifolds
    (Mdpi, 2024) Yan, Lixu; Vandana; Siddiqui, Aliya Naaz; Yoldas, Halil Ibrahim; Li, Yanlin
    In this research article, we concentrate on the exploration of submanifolds in an (LCS)m-manifold B. We examine these submanifolds in the context of two distinct vector fields, namely, the characteristic vector field and the concurrent vector field. Initially, we consider some classifications of eta-Ricci-Bourguignon (in short, eta-RB) solitons on both invariant and anti-invariant submanifolds of B employing the characteristic vector field. We establish several significant findings through this process. Furthermore, we investigate additional results by using eta-RB solitons on invariant submanifolds of B with concurrent vector fields, and discuss a supporting example.
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    Some results on N (k)-contact metric manifolds
    (Tbilisi Centre Math Sci, 2022) Altin, Mustafa; Yoldas, Halil Ibrahim; Unal, Inan
    In this study, some geometric properties of N(k)-contact metric manifolds, which are important class of contact manifolds, have been investigated by using a special connection (CY-connection). First, we give some fundamental results on N(k)-contact metric manifolds admitting CY-connection. Then, we obtain curvature properties of such manifolds. We prove that an N(k)-contact metric manifold admitting R* (xi, X).R* = 0 condition is an N (-1/4) metric manifold, where R* is the Riemannian curvature tensor of CY-connection. Also, we examine an N(k)-contact metric manifold admitting CY-connection under W* (xi, X).S* = 0 condition for generalized quasi-conformal curvature tensor W* of CY-connection. Finally, we consider a 3-dimensional N(k)-contact metric manifold admitting CY-connection.