Results 61 to 70 of about 1,828 (149)

Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
wiley   +1 more source

SOME RESULTS ON A GENERALIZED SASAKIAN-SPACE-FORM ADMITTING TRANS-SASAKIAN STRUCTURE WITH RESPECT TO A GENERALIZED TANAKA WEBSTER OKUMURA CONNECTION [PDF]

Romanian Journal of Mathematics and Computer Science, 2015
The object of the present paper is to study generalized Sasakian-spaceforms admitting trans-Sasakian structure with respect to a generalized Tanaka Webster Okumura connection. Locally \phi-symmetric as well as \eta- recurrent generalized Sasakian space-
ALI AKBAR, AVIJIT SARKAR
doaj  

A short survey on biharmonic maps between Riemannian manifolds [PDF]

, 2005
In this short survey we report on the theory of biharmonic maps between Riemannian manifolds.Comment: 20 ...
C. Oniciuc, Revista De La, S. Montaldo
core   +1 more source

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +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

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

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

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  

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

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