Results 31 to 40 of about 345 (143)

G2${\mathrm{G}}_2$‐instantons on the 7‐sphere

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3711-3745, December 2022., 2022
Abstract We study the deformation theory of G2${\mathrm{G}}_2$‐instantons on the round 7‐sphere, specifically those obtained from instantons on the 4‐sphere via the quaternionic Hopf fibration. We find that the pullback of the standard ASD instanton lies in a smooth, complete, 15‐dimensional family of G2${\mathrm{G}}_2$‐instantons.
Alex Waldron
wiley   +1 more source

Sasaki structures distinguished by their basic Hodge numbers

Bulletin of the London Mathematical Society, Volume 54, Issue 5, Page 1962-1977, October 2022., 2022
Abstract In all odd dimensions at least 5 we produce examples of manifolds admitting pairs of Sasaki structures with different basic Hodge numbers. In dimension 5 we prove more precise results, for example, we show that on connected sums of copies of S2×S3$S^2\times S^3$ the number of Sasaki structures with different basic Hodge numbers within a fixed ...
D. Kotschick, G. Placini
wiley   +1 more source

Rigidity results for submanifolds in generalized Sasakian space forms [PDF]

, 2023
In this article, generalized Saasakian space forms are discussed and invariant submanifolds of these space forms are examined. The curvature tensor chosen is of great importance when examining the characterization of a manifold.
Mert, Tuğba, Uygun, Pakize, Atçeken, Mehmet   +2 more
core   +2 more sources

A compact non‐formal closed G2 manifold with b1=1$b_1=1$

Mathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022
Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
wiley   +1 more source

ρ‐Einstein Solitons on Warped Product Manifolds and Applications

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica, Antonio Masiello   +5 more
wiley   +1 more source

Some New Results on Trans‐Sasakian Manifolds

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we classify trans‐Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans‐Sasakian manifolds whose Reeb vector fields are harmonic‐Killing. The above results bring some new characterizations for the property of trans‐Sasakian 3‐manifolds.
Lei Wang, Yan Zhao, Antonio Masiello
wiley   +1 more source

Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb, Meraj Ali Khan, Antonio Scarfone   +2 more
wiley   +1 more source

Generalized Sasakian space forms on w0-curvature tensor

, 2023
In this article, generalized Sasakian space forms are investi-gated on W0-curvature tensor. Characterizations of generalized Sasakian space forms are obtained on W0-curvature tensor.
Mert, Tuğba, Atçeken, Mehmet
core   +1 more source

F-biharmonic integral submanifolds in generalized sasakian space forms [PDF]

, 2019
We study f-biharmonic integral submanifolds and integral C-parallel submanifolds in generalized Sasakian space forms. As an application, we find the f-biharmonicity conditions for the integral and integral C-parallel submanifolds in Sasakian, λ-Sasakian,
Karaca, Fatma
core   +1 more source

SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE FORMS

Taiwanese Journal of Mathematics, 2009
Plan Andaluz de Investigación (Junta de Andalucía)
Alegre, Pablo, Carriazo, Alfonso
openaire   +4 more sources