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
core +1 more source
The stability inequality for Ricci-flat cones [PDF]
, 2014 In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest ...
Haslhofer, Robert +2 more
core +1 more source
On Type-I singularities in Ricci flow [PDF]
, 2011 07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, Peter +5 more
core +3 more sources
L-optimal transportation for Ricci flow [PDF]
, 2009 We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy ...
Topping, Peter, Peter Topping
core +1 more source
SHARP INEQUALITIES INVOLVING THE RICCI CURVATURE FOR RIEMANNIAN SUBMERSIONS
, 2017 In this paper, we obtain sharp inequalities on Riemannian manifolds admitting a Riemannian submersion and give some characterizations using these inequalities.
Gülbahar, Mehmet +2 more
core +2 more sources
AN IMPROVED CHEN-RICCI INEQUALITY FOR KAEHLERIAN SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS
Taiwanese Journal of Mathematics, 2012 B. Y. Chen proved in [4] an optimal inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature, well-known as the Chen-Ricci inequality. Recently, the Chen-Ricci inequality was improved in [7, 11] for Lagrangian submanifolds in complex space forms.
Mihai, Adela, Rădulescu, Ioana N.
openaire +2 more sources
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
doaj +1 more source
The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature [PDF]
, 2023 We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volume growth.
Lee, Jihye, Ricci, Fabio
core
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
core +1 more source
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
wiley +1 more source