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Discrete differential geometry of fluvial landscapes [PDF]

Earth Surface Dynamics
Geomorphology as a discipline is defined by the use of topographic form to understand surface processes on Earth and other planets. In practice this requires drawing connections between quantitative metrics of surface geometry and rates of erosion and ...
N. Klema, N. Klema, L. Karlstrom, J. Roering   +3 more
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Heat Kernel Embeddings, Differential Geometry and Graph Structure

Axioms, 2015
In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
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Intrinsic Curvatures of Atomic Orbitals for Hydrogen-Like Atoms [PDF]

INCAS Bulletin
Within the quantum model for the hydrogen-like atom and taking into account the concepts of differential geometry, we calculate the intrinsic curvature of several types of atomic orbitals. Based on this concept of intrinsic curvature, a classification of
Diana Rodica RADNEF-CONSTANTIN, Sorin Stefan RADNEF   +1 more
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Mem3DG: Modeling membrane mechanochemical dynamics in 3D using discrete differential geometry. [PDF]

Biophys Rep (N Y), 2022
Zhu C, Lee CT, Rangamani P.
europepmc   +1 more source

Computing the Riemannian curvature of image patch and single-cell RNA sequencing data manifolds using extrinsic differential geometry. [PDF]

Proc Natl Acad Sci U S A, 2021
Sritharan D, Wang S, Hormoz S.
europepmc   +1 more source

Differential Cohomology and Gerbes: An Introduction to Higher Differential Geometry

Axioms
Differential cohomology is a topic that has been attracting considerable interest. Many interesting applications in mathematics and physics have been known, including the description of WZW terms, string structures, the study of conformal immersions, and
Byungdo Park
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Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference

Symmetry, Integrability and Geometry: Methods and Applications, 2007
The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference.
Lawrence J. Peterson
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A Unified Superelliptic Framework for the Differential Geometry of Gielis Transformations

Axioms
The Gielis superformula is a powerful parametric tool that generates an infinite variety of natural and organic curves and surfaces through a compact set of parameters. However, classical differential geometry has lacked a unified framework for analyzing
Zehra Özdemir, Esra Parlak, Johan Gielis   +2 more
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Solving p-Laplacian equations on complete manifolds

Electronic Journal of Differential Equations, 2006
Using a reduced version of the sub and super-solutions method, we prove that the equation $Delta _{p}u+ku^{p-1}-Ku^{p^{ast }-1}=0$ has a positive solution on a complete Riemannian manifold for appropriate functions $k,K:Mo mathbb{R}$.
Mohammed Benalili, Youssef Maliki
doaj  

Ordinary differential equations in affine geometry

Le Matematiche, 1996
The method of qualitative analysis is used, as applied to a class of fourth order, nonlinear ordinary differential equations, in order to classify, both locally and globally, two classes of hypersurfaces of decomposable type in affine geometry: those ...
Salvador Gigena
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