Results 71 to 80 of about 32,499 (242)

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

open access: yesپژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj  

The shift‐homological spectrum and parametrising kernels of rank functions

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird   +2 more
wiley   +1 more source

A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]

open access: yesCzechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately 
Ulrich Derenthal, Florian Wilsch
wiley   +1 more source

Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application

open access: yesJournal of New Theory
In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
doaj   +1 more source

On holomorphic extension of functions on singular real hypersurfaces in ℂn

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
The holomorphic extension of functions defined on a class of real hypersurfaces in ℂn with singularities is investigated. When n=2, we prove the following: every C1 function on Σ that satisfies the tangential Cauchy-Riemann equation on boundary of {(z,w)∈
Tejinder S. Neelon
doaj   +1 more source

Minimal projective varieties satisfying Miyaoka's equality

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai   +2 more
wiley   +1 more source

Derivatives of normal Jacobi operator on real hypersurfaces in the complex quadric [PDF]

open access: green, 2020
Hyun-Jin Lee   +5 more
openalex   +1 more source

Fat equator effect and minimality in immersions and submersions of the sphere

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
wiley   +1 more source

Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates   +2 more
wiley   +1 more source

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