Pinching the Sectional Curvature on Open Manifolds
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (generally incomplete) Riemannian metrics with strictly positive sectional curvature as well as ones with strictly negative curvature by showing that any such M ...
Streil, Manuel
core +1 more source
Attitudes of cancer patients toward ctDNA‐based liquid biopsy for follow‐up
This mixed‐methods study explored cancer patients' experiences, knowledge, and preferences regarding ctDNA‐based liquid biopsy for follow‐up. Awareness of ctDNA was low and recall of previous liquid biopsy was imperfect, yet acceptance was high.
Siddharth Chhajlani +7 more
wiley +1 more source
Simplices modelled on spaces of constant curvature
We give non-degeneracy criteria for Riemannian simplices based on simplices in spaces of constant sectional curvature. It extends previous work (SoCG15) on Riemannian simplices, where we developed Riemannian simplices with respect to Euclidean reference ...
Ramsay Dyer +2 more
doaj +1 more source
On projectivized vector bundles and positive holomorphic sectional curvature [PDF]
We generalize a construction of Hitchin to prove that, given any compact K\"ahler manifold $M$ with positive holomorphic sectional curvature and any holomorphic vector bundle $E$ over $M$, the projectivized vector bundle ${\mathbb P}(E)$ admits a K ...
Heier, Gordon +2 more
core
Guiding AlphaFold to predict how Munc13‐1 opens Syntaxin‐1
The syntaxin‐1 Habc‐domain (orange), linker (pink) and SNARE motif (yellow) form a closed conformation that binds to Munc18‐1 (violet) and is opened by the Munc13‐1 MUN domain (cyan) to form the SNARE complex that triggers neurotransmitter release.
Madhurima Chattopadhyay +2 more
wiley +1 more source
Sectional discrete curvature estimation based on the parabola
The local geometric properties such as curvatures and normal vectors play important roles in analyzing the local shape of objects. The result of the geometric operations such as mesh simplification and mesh smoothing is dependent on how to compute the ...
Hyoungseok, Kim, Hosook, Kim
core
A comprehensive analysis of long bone curvature in Neanderthals and modern humans using 3D morphometrics [PDF]
Since their discovery Neanderthals were described as having a marked degree of anteroposterior curvature of the femoral shaft. Although initially believed to be pathological, subsequent discoveries of Neanderthal remains made femoral curvature as well as
De Groote, Isabelle, de Groote, I.E.P.M.
core
Importin 7 mediates the nuclear import of HIV‐1 integrase via a specific interacting interface
HIV‐1 integrase enables viral DNA integration into the host genome. By binding to the core domain of the host protein Importin 7 via its C‐terminal domain, the integrase is transported across the nuclear membrane into the nucleus, where integration of the viral genome into host DNA takes place. This translocation is a critical step for subsequent viral
Juana Bana +5 more
wiley +1 more source
Fundamental groups of compact Kähler manifolds with semi-positive holomorphic sectional curvature
In this paper, we prove that a compact Kähler manifold X with semi-positive holomorphic sectional curvature admits a locally trivial fibration ϕ:X→Y $\phi \colon X \to Y$ phi colon upper X right arrow upper Y , where the fiber F is a rationally ...
Shin-ichi Matsumura
doaj +1 more source
Totally real submanifolds of the nearly kaehler 6-sphere [PDF]
Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
core

