Results 71 to 80 of about 275 (150)

Geodesic spheres and Jacobi vector fields on Sasakian space forms [PDF]

, 1987
SynopsisUsing explicit equations for Jacobi vector fields on a Sasakian space form, we characterise such spaces by means of the shape operator of small geodesic spheres.
Lieven Vanhecke, David E. Blair
core   +1 more source

A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an example of a length PI space (without the deformation property) where an isoperimetric set does not have any representative whose topological interior is nonempty ...
Enrico Pasqualetto, Tapio Rajala
wiley   +1 more source

Generalized Sasakian-space-forms with a contact conformal curvature tensor [PDF]

Surveys in Mathematics and its Applications
The present paper deals with the study of generalized Sasakian-space-forms. We show that the Ricci operator commutes with φ. The necessary and sufficient conditions for the Ricci and φ-contact conformally flat generalized Sasakian-space-forms are proved.
Sudhakar Kumar Chaubey, Sunil Yadav, Mehmet Akif Akyol   +2 more
doaj  

Global eigenfamilies on closed manifolds

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We study globally defined (λ,μ)$(\lambda,\mu)$‐eigenfamilies on closed Riemannian manifolds. Among others, we provide (non‐)existence results for such eigenfamilies, examine topological consequences of the existence of eigenfamilies and classify (λ,μ)$(\lambda,\mu)$‐eigenfamilies on flat tori. It is further shown that for f=f1+if2$f=f_1+i f_2$
Oskar Riedler, Anna Siffert
wiley   +1 more source

On the existence of critical compatible metrics on contact 3‐manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 79-95, January 2025.
Abstract We disprove the generalized Chern–Hamilton conjecture on the existence of critical compatible metrics on contact 3‐manifolds. More precisely, we show that a contact 3‐manifold (M,α)$(M,\alpha)$ admits a critical compatible metric for the Chern–Hamilton energy functional if and only if it is Sasakian or its associated Reeb flow is C∞$C^\infty ...
Y. Mitsumatsu, D. Peralta‐Salas, R. Slobodeanu   +2 more
wiley   +1 more source

Locally ϕ-Symmetric Generalized Sasakian-Space Forms [PDF]

Ukrainian Mathematical Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarkar, A., Sen, M.
openaire   +2 more sources

GEOMETRIC INEQUALITIES FOR DOUBLY WARPED PRODUCTS POINTWISE BI-SLANT SUBMANIFOLDS IN CONFORMAL SASAKIAN SPACE FORM [PDF]

, 2021
In this paper, we have established some geometric inequalities for the squared mean curvature in terms of warping functions of a doubly warped product pointwise bi-slant submanifold of a conformal Sasakian space form with a quarter symmetric metric ...
Iqbal, Mohd, Yadav, Sarvesh Kr., Aslam, Mohd   +2 more
core  

Miao-Tam Equation and Ricci Solitons on Three-Dimensional Trans-Sasakian Generalized Sasakian Space-Forms

Universal Journal of Mathematics and Applications
The aim of the present article is to characterize some properties of the Miao-Tam equation on three-dimensional generalized Sasakian space-forms with trans-Sasakian structures.
Tarak Mandal, Avijit Sarkar, Uday Chand De   +2 more
doaj   +1 more source

On contact CR-submanifolds of sasakian manifolds

International Journal of Mathematics and Mathematical Sciences, 1983
Recently, K.Yano and M.Kon [5] have introduced the notion of a contact CR-submanifold of a Sasakian manifold which is closely similar to the one of a CR-submanifold of a Kaehlerian manifold defined by A. Bejancu [1].
Koji Matsumoto
doaj   +1 more source

Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti, Soumendu Roy, Santu Dey, Fatemah Mofarreh, Akram Ali, Yanlin Li, Francisco J. Garcia-Pacheco   +6 more
wiley   +1 more source