Hey Sage Team,
I am Vidit Agarwal, a final year student at IIT BHU pursuing a B.Tech in 
Electrical Engineering. I am interested in Tensor operations in Sage using 
Python libraries as backends.

This mail *aims to clarify my interpretation* of what we are planning to do 
in this project. My interpretation goes as follows:
In this project, we aim to implement existing functions of SageManifold and 
new ones in Numpy, PyTorch and TensorFlow. By setting 
*sage.tensor.backends.set(backend='numpy')*or providing the option for 
choosing the backend in each function call like *S2 = manifolds.Sphere(2, 
backend='numpy')*. While developing the tensor operations for reference, we 
can view the TensorSpace 
<https://github.com/thetensor-space/TensorSpace/blob/master/doc/TensorSpace.pdf>
 
project developed by Magma and the various functionalities they have 
provided.

I am excited to work on Sage! I eagerly look forward to hear back from you.

Thanks,
Vidit Agarwal

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