Results 11 to 20 of about 21,216 (107)

Quantifying the Single-Cell Morphological Landscape of Cellular Transdifferentiation through Force Field Reconstruction. [PDF]

Adv Sci (Weinh)
This study reconstructs the driving force field of fibroblast‐to‐neuron transdifferentiation from sparse single‐cell images by decomposing it into flux and time‐dependent potential gradient, extending the landscape‐flux framework to non‐steady‐state systems.
Yu C, Liu C, Wang E, Wang J.
europepmc   +2 more sources

Number of Least Area Planes in Gromov Hyperbolic 3-Spaces

, 2008
We show that for a generic simple closed curve C in the asymptotic boundary of a Gromov hyperbolic 3-space with cocompact metric X, there exist a unique least area plane P in X with asymptotic boundary C.
Coskunuzer, Baris
core   +2 more sources

Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca, Citti Giovanna, Manfredini Maria   +2 more
doaj   +1 more source

K-cowaist of manifolds with boundary

Comptes Rendus. Mathématique
We extend the $K$-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary.
Bär, Christian, Hanke, Bernhard
doaj   +1 more source

The log-open correspondence for two-component Looijenga pairs

Forum of Mathematics, Sigma
A two-component Looijenga pair is a rational smooth projective surface with an anticanonical divisor consisting of two transversally intersecting curves.
Yannik Schuler
doaj   +1 more source

Natural maps between CAT(0) boundaries [PDF]

, 2013
It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective.
Buckley, Stephen M., Falk, Kurt
core   +2 more sources

New topological recursion relations

, 2010
Simple boundary expressions for the k-th power of the cotangent line class on the moduli space of stable 1-pointed genus g curves are found for k >= 2g. The method is by virtual localization on the moduli space of maps to the projective line.
Liu, Xiaobo, Pandharipande, Rahul
core   +1 more source

Synapsids and sensitivity: Broad survey of tetrapod trigeminal canal morphology supports an evolutionary trend of increasing facial tactile specialization in the mammal lineage

The Anatomical Record, Volume 309, Issue 4, Page 864-911, April 2026.
Abstract The trigeminus nerve (cranial nerve V) is a large and significant conduit of sensory information from the face to the brain, with its three branches extending over the head to innervate a wide variety of integumentary sensory receptors, primarily tactile.
Juri A. Miyamae, Julien Benoit, Irina Ruf, Zoleka Sibiya, Bhart‐Anjan S. Bhullar   +4 more
wiley   +1 more source

Variants of a theorem of Macbeath in finite‐dimensional normed spaces

Mathematika, Volume 72, Issue 2, April 2026.
Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
wiley   +1 more source

Ideal boundaries of pseudo-Anosov flows and uniform convergence groups, with connections and applications to large scale geometry

, 2011
Given a general pseudo-Anosov flow in a three manifold, the orbit space of the lifted flow to the universal cover is homeomorphic to an open disk. We compactify this orbit space with an ideal circle boundary.
Barbot, Bestvina, Bowditch, Candel, Casson, Coornaert, Fathi, Fenley, Fenley, Franks, Freden, Gabai, Gabai, Gehring, Gromov, Hempel, Morgan, Mosher, Otal, Otal, Sérgio Fenley, Tukia, Waldhausen, Wilder   +23 more
core   +1 more source