Curves as measured foliation on noncompact surfaces

1993 ◽  
Vol 42 (2) ◽  
pp. 161-180
Author(s):  
A. Portolano ◽  
I. Maniscalco
Keyword(s):  
Measured Foliation ◽  
Noncompact Surfaces

Relatively Isospectral Noncompact Surfaces

2012 ◽  
pp. 87-89
Author(s):  
Pierre Albin ◽  
Clara Aldana ◽  
Frédéric Rochon
Keyword(s):  
Noncompact Surfaces

scholarly journals On the classification of noncompact surfaces

1963 ◽  
Vol 106 (2) ◽  
pp. 259-259 ◽  
Author(s):  
Ian Richards
Keyword(s):  
Noncompact Surfaces

L 2 -Cohomology of Noncompact Surfaces

1984 ◽  
Vol 284 (2) ◽  
pp. 543
Author(s):  
David R. DeBaun
Keyword(s):  
Noncompact Surfaces

Shorter Notes: Gauss-Bonnet Theorems for Noncompact Surfaces

1982 ◽  
Vol 86 (1) ◽  
pp. 184
Author(s):  
Steven Rosenberg
Keyword(s):  
Noncompact Surfaces

scholarly journals Taut immersions of noncompact surfaces into a Euclidean 3-space

1976 ◽  
Vol 11 (3) ◽  
pp. 451-459 ◽  
Author(s):  
Thomas E. Cecil
Keyword(s):  
Noncompact Surfaces

noncompact surfaces

1993 ◽  
Vol 72 (2) ◽  
pp. 405-430 ◽  
Author(s):  
Morris Kalka ◽  
DaGang Yang
Keyword(s):  
Noncompact Surfaces

scholarly journals Conformal Deformation of Noncompact Surfaces with Negative Curvature

1993 ◽  
Vol 111 (2) ◽  
pp. 449-472
Author(s):  
D. Hulin
Keyword(s):  
Negative Curvature ◽  
Conformal Deformation ◽  
Noncompact Surfaces

scholarly journals MASS GROWTH OF OBJECTS AND CATEGORICAL ENTROPY

2020 ◽  
pp. 1-22
Author(s):  
AKISHI IKEDA
Keyword(s):  
Classical Theory ◽  
Stability Condition ◽  
Triangulated Category ◽  
Categorical Theory ◽  
Mass Growth ◽  
Fundamental Properties ◽  
Measured Foliation ◽  
The Stability ◽  
The Relationship

In the pioneering work by Dimitrov–Haiden–Katzarkov–Kontsevich, they introduced various categorical analogies from the classical theory of dynamical systems. In particular, they defined the entropy of an endofunctor on a triangulated category with a split generator. In the connection between the categorical theory and the classical theory, a stability condition on a triangulated category plays the role of a measured foliation so that one can measure the “volume” of objects, called the mass, via the stability condition. The aim of this paper is to establish fundamental properties of the growth rate of mass of objects under the mapping by the endofunctor and to clarify the relationship between it and the entropy. We also show that they coincide under a certain condition.

scholarly journals HARMONIC DIFFEOMORPHISMS OF NONCOMPACT SURFACES AND TEICHMÜLLER SPACES

2002 ◽  
Vol 65 (01) ◽  
pp. 103-114 ◽  
Author(s):  
VLADIMIR MARKOVIC
Keyword(s):  
Teichmüller Spaces ◽  
Teichmuller Spaces ◽  
Noncompact Surfaces
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