Establishing a General Transformation Matrix between Absolute Nodal Coordinate Formulation (ANCF) and Lower-Order Bezier and B-Spline Surfaces
This study establishes a general transformation matrix to efficiently convert between lower-order Bezier/B-spline surfaces and ANCF surface elements, without the need to increase the order of the surfaces.
高次元イノウエ曲面S+の一般化
左不変複素構造を持つリー群を用いて、任意の高次元における新しい複素コンパクト多様体の例を構成する。2次元の場合、イノウエ曲面S+を得る。
Bending Laminations and Affine Representations of Surface Groups in Projective 3-Space
The bending data for a 3-dimensional convex cocompact coaffine representation is an affine measured lamination on a convex projective surface.
평균 곡률 흐름의 일반적인 S1 × R3 특이점 근처의 정확한 점근 해석
평균 곡률 흐름에서 S1 × R3 유형의 일반적인 특이점 근처에서 정확한 점근 해석을 제공한다.
Desingularizing Positive Scalar Curvature 4-Manifolds with Tolerable Singularities
Closed oriented 4-manifolds with tolerable metric singularities along points and embedded circles can be desingularized to obtain smooth closed oriented manifolds with positive scalar curvature.
Precise Asymptotic Behavior Near a Generic S1 × R3 Singularity of Mean Curvature Flow
The authors derive a precise asymptotic profile for the mean curvature flow near a generic singularity modeled on the self-shrinking cylinder S1 × R3.
카라테오도리 추측의 증명
모든 폐곡선 엄밀 볼록 표면은 최소 두 개의 엄밀점을 가진다.
Proof of the Caratheodory Conjecture: Every Closed Strictly Convex Surface in Euclidean 3-Space Has at Least Two Umbilic Points
Every closed strictly convex surface in Euclidean 3-space has at least two umbilic points.
Stepanov Differentiability Theorem for Intrinsic Graphs in Heisenberg Groups
Intrinsic Lipschitz functions defined on complementary subgroups of the Heisenberg group are intrinsically differentiable almost everywhere on the set of points where their pointwise intrinsic Lipschitz constant is finite.
균일하게 비퇴화된 Cantor 집합의 연속 영상과 특정 합의 내부
모든 Cantor 집합 K1에 대해 다른 Cantor 집합 K2를 찾을 수 있으며, 이때 C1 국소 미분동형사상 g에 의한 합 g(K1) + K2는 비어 있지 않은 내부를 가진다. 또한 이러한 내부의 존재는 사상의 작은 섭동에 대해 강건하다.
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