Results 41 to 50 of about 5,781 (61)

Submanifold theory: beyond an introduction

, 2019
This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms.
Tojeiro, Ruy, Dajczer, Marcos
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String topology on the space of paths with endpoints in a submanifold [PDF]

, 2023
In this article we consider algebraic structures on the homology of the space of paths in a manifold with endpoints in a submanifold. The product on the homology of this space had already been investigated by Hingston and Oancea for a particular example.
Stegemeyer, Maximilian
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Submanifold bridge processes [PDF]

We introduce and study submanifold bridge processes. Our method involves proving a general formula for the integral over a submanifold of the minimal heat kernel on a complete Riemannian manifold.
Thompson, James
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The Secondary Chern–Euler Class for a General Submanifold

, 2012
We define and study the secondary Chern–Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study the index for a vector field with non-isolated singularities on a submanifold.
Zhaohu Nie
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Submanifold Dirac operators with torsion

, 2004
The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this ar-ticle, we will give a submanifold Dirac operator defined over a surface immersed in E4 with U(1 ...
Shigeki Matsutani
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A complete bounded complex submanifold of 𝐶³

, 1979
We produce an example of a bounded complete complex submanifold of C 3 {{\mathbf {C}}^3} . This is accomplished by using the duality between
Peter W. Jones
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On the intersection of varieties with a totally real submanifold

, 1987
In their work on uniqueness in the Cauchy problem for CR functions, Baouendi and Treves have utilized a condition on a totally real submanifold M M in a neighborhood of one of its points p p : There should exist a ...
Howard Jacobowitz
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Curve jets, submanifold families, and envelopes

, 2017
Synthetic or qualitative methods can provide insight into geometric structures not apparent from the purely analytic point of view. For example, much of the geometry of a classical surface in Euclidean space is coded in the differential topology of its ...
Mathews Jr, James
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The submanifold compatibility equations in magnetic geometry

With the notions of magnetic curvature and magnetic second fundamental form recently introduced by Assenza and Albers–Benedetti–Maier, respectively, we establish analogues of the Gauss, Ricci, and Codazzi–Mainardi compatibility equations from submanifold
Terek, Ivo
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Complex 3-Space Cyclically Constrained Submanifold of Real 6-Space

A Complex 3-Space Cyclically Constrained Submanifold of Real 6 ...
Patrick Hentsch
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