3 papers
math.AP2026
Ground States of One-Dimensional Fermionic Schrödinger Systems Near a Critical Exponent
Bin Chen, Yujin Guo, Yong Luo +1
We study ground states of the fermionic nonlinear Schrödinger system in , where denotes a polynomial exponent of the nonlinear term. It is known that the system…
math.DG2025
Classification of fractional, singular Yamabe metrics on a twice punctured sphere I
João Henrique Andrade, Azahara DelaTorre, João Marcos do Ò +2
The Delaunay metrics form a family of conformally flat, constant fractional Q-curvature metrics on a twice-punctured sphere. They are all (after a Möbius transformation) rotational…
math.DG2025
Nonhomothetic complete periodic metrics with constant scalar curvature
João H. Andrade, Jeffrey S. Case, Paolo Piccione +1
We show that there are infinitely many pairwise nonhomothetic, complete, periodic metrics with constant scalar curvature that are conformal to the round metric on $S^n\setminus S^k…