![Frank Nielsen on Twitter: "Geodesics=“straight lines” wrt affine connection, = locally minimizing length curves when the connection is the metric Levi-Civita connection. Two ways to define geodesics: Initial Values or Boundary Values. Frank Nielsen on Twitter: "Geodesics=“straight lines” wrt affine connection, = locally minimizing length curves when the connection is the metric Levi-Civita connection. Two ways to define geodesics: Initial Values or Boundary Values.](https://pbs.twimg.com/media/Egz3JSjUcAAeYtq.png)
Frank Nielsen on Twitter: "Geodesics=“straight lines” wrt affine connection, = locally minimizing length curves when the connection is the metric Levi-Civita connection. Two ways to define geodesics: Initial Values or Boundary Values.
![Levi-Civita and Nunes transport of a vector v 0 satarting at p through | Download Scientific Diagram Levi-Civita and Nunes transport of a vector v 0 satarting at p through | Download Scientific Diagram](https://www.researchgate.net/profile/Waldyr-Rodrigues/publication/46378976/figure/fig1/AS:277195021930496@1443099851062/Levi-Civita-and-Nunes-transport-of-a-vector-v-0-satarting-at-p-through_Q320.jpg)
Levi-Civita and Nunes transport of a vector v 0 satarting at p through | Download Scientific Diagram
![differential geometry - Proving an identity regarding Levi-civita connections of a metric - Mathematics Stack Exchange differential geometry - Proving an identity regarding Levi-civita connections of a metric - Mathematics Stack Exchange](https://i.stack.imgur.com/MPbsh.jpg)
differential geometry - Proving an identity regarding Levi-civita connections of a metric - Mathematics Stack Exchange
![Twitter 上的 Sam Walters ☕️:"A purely algebraic approach to the geometric construct of a semi-Riemannian manifold. We start with a commutative algebra A, consider the Lie algebra D of derivations on A, Twitter 上的 Sam Walters ☕️:"A purely algebraic approach to the geometric construct of a semi-Riemannian manifold. We start with a commutative algebra A, consider the Lie algebra D of derivations on A,](https://pbs.twimg.com/media/E3AGd9WVkAE3S2n.jpg)
Twitter 上的 Sam Walters ☕️:"A purely algebraic approach to the geometric construct of a semi-Riemannian manifold. We start with a commutative algebra A, consider the Lie algebra D of derivations on A,
![The holonomy of the discrete Levi-Civita connection is the usual angle... | Download Scientific Diagram The holonomy of the discrete Levi-Civita connection is the usual angle... | Download Scientific Diagram](https://www.researchgate.net/publication/301701024/figure/fig22/AS:1182071934464018@1658839319492/The-holonomy-of-the-discrete-Levi-Civita-connection-is-the-usual-angle-defect-d-left.png)