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4 papers · 2 filters
Complete real Kahler submanifolds in codimension two
Luis A. Florit, Fangyang Zheng
Minimal isometric immersions F in codimension two from a complete Kahler manifold into Euclidean space had been classified for dimension greater than or equal to 3. In this note we…
Hyperbolic geometric flow (I): short-time existence and nonlinear stability
Wen-Rong Dai, De-Xing Kong, Kefeng Liu
In this paper we establish the short-time existence and uniqueness theorem for hyperbolic geometric flow, and prove the nonlinear stability of hyperbolic geometric flow defined on…
Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
Yong Wang
In this paper, for an even dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to define a conformal in…
Gravity and the Noncommutative Residue for Manifolds with Boundary
Yong Wang
We prove a Kastler-Kalau-Walze type theorem for the Dirac operator and the signature operator for -dimensional manifolds with boundary. As a corollary, we give two kinds of op…