Results 51 to 60 of about 6,006 (168)

The GJMS operators in geometry, analysis and physics

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
wiley   +1 more source

Convergence rate of the weighted conformal mean curvature flow

Analysis and Geometry in Metric Spaces
In this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
doaj   +1 more source

Gap Theorems for Locally Conformally Flat Manifolds [PDF]

, 2015
In this paper, we prove a gap result for a locally conformally flat complete non-compact Riemannian manifold with bounded non-negative Ricci curvature and a scalar curvature average condition.
Ma, Li
core  

Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Murat Altunbaş   +3 more
wiley   +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

Successful Combination Therapy With Lenvatinib Plus Pembrolizumab for Rare Case of Advanced Renal Cell Carcinoma With Ocular Adnexal Metastasis

Cancer Reports, Volume 8, Issue 12, December 2025.
ABSTRACT Background Ocular adnexal (OA) metastasis from renal cell carcinoma (RCC) is a very rare end‐stage entity with a poor prognosis. Reported here is a case of metastatic RCC for which combination therapy with lenvatinib plus pembrolizumab was given for OA metastasis and achieved an excellent response.
Yozo Mitsui, Masato Uetani, Fumito Yamabe, Hideyuki Kobayashi, Aki Mitsuda, Naobumi Tochigi, Koichi Nakajima   +6 more
wiley   +1 more source

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source

A Longitudinal Case Study of Renal Cyst Progression and Regression in Trisomy 13

Clinical Case Reports, Volume 13, Issue 9, September 2025.
Multiple T2‐weighted high‐signal‐intensity structures were observed in both kidneys accompanied by bilateral renal enlargement in a male neonate with trisomy 13. ABSTRACT Trisomy 13 is a chromosomal disorder frequently associated with congenital anomalies, including polycystic kidney disease (PKD).
Fumiko Yamabe, Takahiro Shindo, Kentaro Haneda, Yoshiyuki Namai, Yutaka Harita   +4 more
wiley   +1 more source

Contrast‐Enhanced Computed Tomography/Magnetic Resonance Imaging Is Useful for Surveying Gastroesophageal Varices in Patients After Fontan Surgery

Hepatology Research, Volume 55, Issue 9, Page 1320-1326, September 2025.
The presence of gastroesophageal varices (GEVs) following Fontan surgery (FS) could not be predicted by blood biochemical indices and other clinical factors, and contrast‐enhanced CT or MRI can be useful for surveying GEVs in patients following FS. ABSTRACT Objectives Liver cirrhosis (LC) is a common complication of Fontan surgery (FS) because of the ...
Takanori Suzuki, Kentaro Matsuura, Sayuri Yamabe, Kiyomi Kayama, Tsutomu Shinohara, Keiichi Itatani, Yoshiki Okamoto, Hayato Kawamura, Kei Fujiwara, Yoshihiro Seo, Hiromi Kataoka   +10 more
wiley   +1 more source

COMBINATORIAL YAMABE FLOW ON HYPERBOLIC SURFACES WITH BOUNDARY [PDF]

Communications in Contemporary Mathematics, 2011
This paper studies the combinatorial Yamabe flow on hyperbolic surfaces with boundary. It is proved by applying a variational principle that the length of boundary components is uniquely determined by the combinatorial conformal factor. The combinatorial Yamabe flow is a gradient flow of a concave function.
openaire   +3 more sources