Classical projective geometry and arithmetic groups

1991 ◽  
Vol 290 (1) ◽  
pp. 441-462 ◽  
Author(s):  
Mark McConnell
Keyword(s):  
Projective Geometry ◽  
Arithmetic Groups

Projective Geometry

1988 ◽  
Author(s):  
Pierre Samuel
Keyword(s):  
Projective Geometry

Arithmetic groups and Salem numbers

1992 ◽  
Vol 75 (1) ◽  
pp. 97-102 ◽  
Author(s):  
B. Sury
Keyword(s):  
Arithmetic Groups ◽  
Salem Numbers

Fuzzy plane projective geometry

1993 ◽  
Vol 54 (2) ◽  
pp. 191-206 ◽  
Author(s):  
K.C. Gupta ◽  
Suryansu Ray
Keyword(s):  
Projective Geometry

scholarly journals Einstein on involutions in projective geometry

2021 ◽  
Author(s):  
Tilman Sauer ◽  
Tobias Schütz
Keyword(s):  
Projective Geometry ◽  
Common Theme ◽  
Infinite Point

AbstractWe discuss Einstein’s knowledge of projective geometry. We show that two pages of Einstein’s Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years. By this correspondence, we show that the sketches are all related to a common theme, the discussion of involution in a projective geometry setting with particular emphasis on the infinite point. We offer a conjecture as to the probable purpose of these geometric considerations.

scholarly journals Counting and equidistribution in quaternionic Heisenberg groups

2021 ◽  
pp. 1-38
Author(s):  
JOUNI PARKKONEN ◽  
FRÉDÉRIC PAULIN
Keyword(s):  
Hyperbolic Geometry ◽  
Quaternion Algebra ◽  
Rational Points ◽  
Hyperbolic Spaces ◽  
Heisenberg Groups ◽  
Arithmetic Groups ◽  
Hermitian Forms ◽  
Dimension 2 ◽  
Counting Formula ◽  
The Relationship

Abstract We develop the relationship between quaternionic hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on quaternionic hyperbolic spaces, especially in dimension 2. We prove a Mertens counting formula for the rational points over a definite quaternion algebra A over ${\mathbb{Q}}$ in the light cone of quaternionic Hermitian forms, as well as a Neville equidistribution theorem of the set of rational points over A in quaternionic Heisenberg groups.

Modern Projective Geometry.

1969 ◽  
Vol 76 (10) ◽  
pp. 1168
Author(s):  
Josephine H. Chanler ◽  
Robert J. Bumcrot
Keyword(s):  
Projective Geometry

Cartesian and Projective Geometry

1953 ◽  
Vol 37 (321) ◽  
pp. 224
Author(s):  
W. J. Hodgetts ◽  
R. Walker
Keyword(s):  
Projective Geometry

scholarly journals Invariant computations for analytic projective geometry

1991 ◽  
Vol 11 (5-6) ◽  
pp. 549-578 ◽  
Author(s):  
Walter Whiteley
Keyword(s):  
Projective Geometry
Sign in / Sign up

Export Citation Format

Share Document