Results 21 to 30 of about 3,074,734 (136)
The volume entropy of a surface decreases along the Ricci flow [PDF]
, 2004 The volume entropy, h(g), of a compact Riemannian manifold (M,g) measures the growth rate of the volume of a ball of radius R in its universal cover.
Manning, Anthony, ANTHONY MANNING
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Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds
Mathematics, 2019 Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui +2 more
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Recent Developments on the First Chen Inequality in Differential Geometry
, 2023 One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications.
Bang-Yen Chen, Gabriel-Eduard Vîlcu
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AxiomsThis article explores the Ricci tensor of slant submanifolds within locally metallic product space forms equipped with a semi-symmetric metric connection (SSMC).
Yanlin Li +4 more
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The Architecture of Consolidation: Nests of Corporate Control in the Agrochemical Network
Journal of Agrarian Change, EarlyView.ABSTRACT Research on agricultural consolidation tends to equate corporate control with the dominance of a few large firms. We take an alternative approach that examines control through the explosive growth of legally distinct firms that fragment accountability. Using a new global dataset of 6982 entities linked to BASF, Bayer, Corteva, Dow, DuPont, FMC,
Loka Ashwood +5 more
wiley +1 more source
Ricci curvature inequalities for warped product skew CR-submanifolds in Cosymplectic space forms
, 2021 <p>The main objective of this paper is to achieve the Chen-Ricci inequality for skew CR-warped product submanifold isometrically immersed in a Cosymplectic space form in the expressions of the squared norm of mean curvature vector and warping ...
Talal Al-Rashidi, Ayaed Al-Waqmi, Meraj A. Khan, Mugrin Bin Abdullah and Abdul Latif Al-balawi
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Seeing Sustainability: Aesthetic Public Pedagogy and the Formation of Ecological Citizenship
European Journal of Education, Volume 61, Issue 4, December 2026.ABSTRACT Ecological citizenship education has specified responsibility, agency, justice and participation, but it has not fully explained how citizens are formed through visual culture beyond formal education. This conceptual article develops aesthetic public pedagogy as a specific mode of public pedagogy: the contested process through which publicly ...
Yang Zhi, Yi Zhang
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Classification Results of f-Biharmonic Immersion in T-Space Forms
AxiomsWe investigate f-biharmonic submanifolds in T-space form, where we analyze different scenarios and provide necessary and sufficient conditions for f-biharmonicity.
Md Aquib +2 more
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Asia &the Pacific Policy Studies, Volume 13, Issue 3, September 2026.ABSTRACT This article examines the relationship between political ideology and green innovation using an unbalanced panel of 131 countries from 1996 to 2020. Green innovation is proxied by environmental management patents, while political ideology is captured through the orientations of the chief executiveʼs party and the largest government party.
Boying Li
wiley +1 more source
Quaternion Statistical Submanifolds and Submersions
MathematicsThis paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
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