A5100376055- Geometric Analysis and Curvature Flows
- Advanced Differential Geometry Research
- Geometry and complex manifolds
- Mathematics and Applications
- Advanced Numerical Analysis Techniques
- Point processes and geometric inequalities
- Coronary Interventions and Diagnostics
- Cardiac Valve Diseases and Treatments
- Acute Myocardial Infarction Research
- Geometric and Algebraic Topology
- Cancer Immunotherapy and Biomarkers
- Cardiac Imaging and Diagnostics
- Nonlinear Partial Differential Equations
- Lung Cancer Treatments and Mutations
- Mesenchymal stem cell research
- 3D Shape Modeling and Analysis
- Black Holes and Theoretical Physics
- Cosmology and Gravitation Theories
- Antiplatelet Therapy and Cardiovascular Diseases
- Obsessive-Compulsive Spectrum Disorders
- Advanced Neuroimaging Techniques and Applications
- Venous Thromboembolism Diagnosis and Management
- Cardiovascular Function and Risk Factors
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Infective Endocarditis Diagnosis and Management
Hangzhou Normal University
2018-2025
Capital Medical University
2022-2025
Pennsylvania State University
2025
Second Affiliated Hospital of Xi'an Jiaotong University
2024-2025
First Affiliated Hospital of Kunming Medical University
2014-2025
Kunming Medical University
2014-2025
The First People's Hospital of Jiangxia District
2025
Northwest A&F University
2024
Ministry of Agriculture and Rural Affairs
2024
Beijing Children’s Hospital
2022-2024
A closed conformal vector field in de Sitter space S1n+1c¯ induces a on spacelike hypersurface M of S1n+1c¯, referred to as the induced M. This article investigates characterization compact hypersurfaces without assuming constancy mean curvature. Specifically, we establish that under certain conditions, is sphere, is, totally umbilical with constant We also present different spheres by using lower bound integral Ricci curvature direction field. consider Robertson–Walker and provide several...
Conformal maps preserve angles and maintain the local shape of geometric structures. The osculating curve plays an important role in analyzing variations curvature, providing a detailed understanding properties impact conformal transformations on curves surfaces. In this paper, we study regular surfaces under transformations. We obtained conditions required for R R˜ to remain invariant when subjected transformation ψ:R→R˜. results presented paper reveal specific which transformed σ˜=ψ∘σ...
Background— Transcatheter aortic valve implantation is currently being evaluated in patients with severe stenosis who are considered high-risk surgical candidates. This study aimed to detect incidences, causes, and correlates of mortality ineligible participate transcatheter studies. Methods Results— From April 2007 July 2009, a cohort 362 were screened did not meet the inclusion/exclusion criteria necessary trial. These classified into 2 groups: group 1 (medical): 274 (75.7%): 97 (35.4%)...
Abstract Background Coronavirus disease 2019 (COVID-19) is an emerging infectious disease, which has caused numerous deaths and health problems worldwide. This study aims to examine the effects of airborne particulate matter (PM) pollution population mobility on COVID-19 across China. Methods We obtained daily confirmed cases COVID-19, air (PM 2.5 , PM 10 ), weather parameters such as ambient temperature (AT) absolute humidity (AH), scale index (MSI) in 63 cities China a basis (excluding...
<abstract><p>The present paper is to deliberate the class of $ \epsilon $-Kenmotsu manifolds which admits conformal \eta $-Ricci soliton. Here, we study some special types Ricci tensor in connection with soliton manifolds. Moving further, investigate curvature conditions admitting solitons on Next, consider gradient and a characterization potential function. Finally, develop an illustrative example for existence manifold.</p></abstract>
<abstract><p>In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent surfaces, focal and rectifying singular points considered. Then conditions for these to be obtained separately. In order form a basis first, basic concepts related Ftfb surface recalled. Later, necessary sufficient found map. Finally, examples each type given, their graphics...
In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage singularity theory, give classification generic these surfaces. Furthermore, an example application is given to illustrate applications results.
<abstract><p>In this paper, we study the singularities on a non-developable ruled surface according to Blaschke's frame in Euclidean 3-space. Additionally, prove that singular points occur kind of and use singularity theory technique examine these singularities. Finally, construct an example confirm demonstrate our primary finding.</p></abstract>
The approach of the paper is on spacelike circular surfaces in Minkowski 3-space. A surface a one-parameter family Lorentzian circles with fixed radius regarding non-null curve, which acts as spine and it has symmetrical properties. In study, we have parametrized provided their geometric singularity properties such Gaussian mean curvatures, comparing them those ruled classification singularities. Furthermore, conditions for roller coaster to be flat or minimal are obtained. Meanwhile,...
In this paper, we mainly investigate (contra)pedals and (anti)orthotomics of frontals in the de Sitter 2‐space from viewpoint singularity theory differential geometry. We utilize Legendrian Frenet frames to provide parametric representations (contra)pedal curves spacelike timelike geometric properties these curves. then introduce orthotomics explain as wavefronts theory. Furthermore, generalize methods study antiorthotomics 2‐space.
In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between gradient and Laplacian of warping function second fundamental form. We necessary conditions submanifolds Ka¨hler manifold to be Einstein impact Ricci soliton. Some classification by using Euler–Lagrange equation, Dirichlet energy Hamiltonian is given. also derive some characterizations warped manifolds under Curvature Divergence Hessian tensor.
<abstract><p>In the realm of four-dimensional Minkowski space $ \mathbb{L}^{4} $, focus is on hypersurfaces classified as right conoids and defined by light-like axes. Matrices associated with fundamental form, Gauss map, shape operator, all specifically tailored for these hypersurfaces, are currently undergoing computation. The intrinsic curvatures determined using Cayley-Hamilton theorem. conditions minimality addressed analysis. Laplace-Beltrami operator such computed,...
In this paper, using the classical methods of differential geometry, wedefine invariants timelike circular surfaces in Lorentz-Minkowski space R3 1, called curvature functions, and show kinematic meaning these invariants. Then we discuss properties give a kind classification with theories Besides, to demonstrate our theoretical results some computational examples are given plotted.
In this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, establish the Chen–Ricci inequality for such and determine conditions under which becomes equality. Additionally, explore minimality of Lagrangian forms, apply result to create a classification theorem whose mean curvature is constant. More specifically, have demonstrated that are either two Einstein manifolds with constants, or they isometric totally geodesic submanifold. To support our...
<abstract><p>In this research paper, we discussed some geometric axioms of a relativistic string cloud spacetime attached with strange quark matter. We determined the conformal $ \eta $-Ricci soliton on matter \varphi(\mathcal{R}ic) $-vector field. In addition, illustrated physical significance pressure P in terms same vector Besides this, deduced generalized Liouville equation from soliton. Furthermore, examine harmonic relevance potential function \psi $. Finally, turned up...
In this work, we aim to investigate the characteristics of Bach and Cotton tensors on Lorentzian manifolds, particularly those admitting a semi-symmetric metric ω-connection. First, prove that manifold ω-connection with parallel tensor is quasi-Einstein flat. Next, show any
This study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce Ricci solitons’ classification (Nil4,g). These are expansive non-gradient solitons. examine existence of harmonic maps into (Nil4,g) from compact manifold. Additionally, we provide characterization class vector fields
Abstract We prove that if an <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>η</m:mi> </m:math> \eta -Einstein para-Kenmotsu manifold admits a conformal -Ricci soliton then it is Einstein. Next, we proved metric as Einstein its potential vector field <m:mi>V</m:mi> V infinitesimal paracontact transformation or collinear with the Reeb field. Furthermore, gradient almost and leaves scalar curvature invariant also construct example of satisfy our results. have studied in...
A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a smooth metric space. This paper generalizes integral inequalities of the Hardy type setting non-compact space without any geometric constraint on function. The adopted approach highlights criteria for admit related Witten p-Laplace operators. results in this complement several aspect those obtained recently setting.