黎曼几何MATLAB代码

Sure! Here's an example of MATLAB code for calculating the Riemannian metric tensor in 2D:

% Define the coordinate variables
syms x y;

% Define the metric coefficients (g_ij)
g11 = x^2 + y^2;
g12 = 0;
g21 = 0;
g22 = 1;

% Create the metric tensor (g_ij) as a symbolic matrix
g = [g11, g12; g21, g22];

% Calculate the inverse of the metric tensor (g^ij)
g_inv = inv(g);

% Display the metric tensor and its inverse
disp("Metric Tensor (g_ij):");
disp(g);
disp("Inverse Metric Tensor (g^ij):");
disp(g_inv);

This code defines the metric coefficients `g_ij` for a 2D Riemannian manifold and calculates the corresponding metric tensor `g` as well as its inverse `g_inv`. You can modify the metric coefficients according to your specific Riemannian manifold.