Riemannian Geometry
The study of Manifolds having a complete Riemannian Metric. Riemannian geometry is a general space based on the Line Element
with
for 
a function on the Tangent Bundle 
. Inaddition, 
is homogeneous of degree 1 in 
and of the form
(Chern 1996). If this restriction is dropped, the resulting geometry is called Finsler Geometry.
References
Besson, G.; Lohkamp, J.; Pansu, P.; and Petersen, P. Riemannian Geometry. Providence, RI: Amer. Math. Soc., 1996. Buser, P. Geometry and Spectra of Compact Riemann Surfaces. Boston, MA: Birkhäuser, 1992. Chavel, I. Eigenvalues in Riemannian Geometry. New York: Academic Press, 1984. Chavel, I. Riemannian Geometry: A Modern Introduction. New York: Cambridge University Press, 1994. Chern, S.-S. ``Finsler Geometry is Just Riemannian Geometry without the Quadratic Restriction.'' Not. Amer. Math. Soc. 43, 959-963, 1996. do Carmo, M. P. Riemannian Geometry. Boston, MA: Birkhäuser, 1992.
- Lemniscate
- Lemniscate Case
- Lemniscate Constant
- Lemniscate Function
- Lemniscate Inverse Curve
- Lemniscate (Mandelbrot Set)
- Lemniscate of Bernoulli
- Lemniscate of Gerono
- Lemoine Axis
- Lemoine Circle
- Lemoine Line
- Lemoine Point
- Lemoine's Problem
- Lemon
- Length (Curve)
- Length Distribution Function
- Length (Number)
- Length (Partial Order)
- Length (Size)
- Lengyel's Constant
- Lens
- Lens Space
- Lenstra Elliptic Curve Method
- Leonardo's Paradox
- Leptokurtic