##  [Conical Singularity](/conical-singularity) 

  ##  [Conical Singularity](https://mathlogic.quantumdictionary.io/conical-singularity-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A point of a manifold or metric space at which the neighborhood is locally isometric (or homeomorphic with compatible metric structure) to a metric cone over some base space; geometrically it appears as a 'tip' where the usual Euclidean structure fails and angular or radial metrics exhibit cone-like behavior.

 

 

 

 

 





 

 



 ##  [Conical Singularity](https://puremath.quantumdictionary.io/conical-singularity-1) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A point-like boundary singularity occurring at a cone tip or vertex where local geometry is modeled by a product of a radial variable and a compact link (the cone cross-section), and where solutions exhibit asymptotics determined by the spectral problem on that link.