On a Problem of Elementary Differential Geometry and the Number of Its Solutions
نویسنده
چکیده
If M and N are submanifolds of R, and a, b are points in R, we may ask for points x ∈ M and y ∈ N such that the vector −→ ax is orthogonal to y’s tangent space, and vice versa for −→ by and x’s tangent space. If M,N are compact, critical point theory is employed to give lower bounds for the number of such related pairs of points.
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تاریخ انتشار 2003