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Everything about Contact bundle
Bundle of linear subspaces of the tangent bundle
In differential geometry, a contact bundle is a particular type of fiber bundle constructed from a smooth manifold. Like how the tangent bundle is the manifold that describes the local behavior of parameterized curves, a contact bundle is the manifold that describes the local behavior of unparameterized curves. More generally, a contact bundle of order k is the manifold that describes the local behavior of k-dimensional submanifolds. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Contact bundleA 5-minute orientation
- Skim a recent paper: Numerical Simulation of an Indirect Contact Mobilized Thermal Energy Storage Container with Different Tube Bundle Layout and Fin StructureInfluential work since 2022
- Pick up a classic book: Integrability, Quantization, and GeometryThe most-reprinted book on the subject
- Read the landmark paper: Tibiofemoral Joint Contact Area and Pressure After Single‐ and Double‐Bundle Anterior Cruciate Ligament ReconstructionCited 99 times
- Go sideways: Glossary of differential geometry and topologyA closely related topic
- Go sideways: Associated bundleA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Tibiofemoral Joint Contact Area and Pressure After Single‐ and Double‐Bundle Anterior Cruciate Ligament Reconstruction
The visual cortex is a contact bundle
Analysis of actin filament bundle dynamics during contact formation in live epithelial cells
Anatomic Double‐Bundle Anterior Cruciate Ligament Reconstruction Restores Patellofemoral Contact Areas and Pressures More Closely Than Nonanatomic Single‐Bundle Reconstruction
Point-contact current-imaging atomic force microscopy: Measurement of contact resistance between single-walled carbon nanotubes in a bundle
Rodent CNS neuroblasts exhibit both perpendicular and parallel contact guidance on the aligned parallel neurite bundle
Optic fibre bundle contact imaging probe employing a laser scanning confocal microscope
Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold
🆕 Influential since 2022
Numerical Simulation of an Indirect Contact Mobilized Thermal Energy Storage Container with Different Tube Bundle Layout and Fin Structure
Establishing Ohmic Contact of a Radial Compressed CNT Bundle with High Work Function Metal
A non-destructive model for thermal-hydraulics of wire-wrapped rod bundle and wire-rod contact corner microscopic behavior
Investigation on cross flow induced tube bundle vibration and tube-support contact state
Experimental Investigation of Thermal Contact Conductance in a Bundle of Flat Steel Bars
📚 Books worth reading
- 📕Integrability, Quantization, and GeometryI. M. Krichever · 2021
DiffeologyPatrick Iglesias-Zemmour · 2013- 📕Modern GeometryVicente Munoz, Ivan Smith · 2018
- 📕Grassmannians, moduli spaces, and vector bundlesClay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.) · 2011
- 📕String-Math 2012Germany) String-Math (Conference) (2012 Bonn · 2015
Integrability, Quantization, and GeometrySergey Novikov, Igor Krichever · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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