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Titlebook: Extrinsic Geometry of Foliations; Vladimir Rovenski,Pawe? Walczak Book 2021 Springer Nature Switzerland AG 2021 foliations.extrinsic geome

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21#
發(fā)表于 2025-3-25 06:51:39 | 只看該作者
An action research role for teachers, existence and characterization of foliations, whose leaves have a given geometric property, such as being totally geodesic, totally umbilical or minimal; (ii) prescribing the higher mean curvatures of the leaves of a foliation; (iii) minimizing functionals like volume and energy defined for tensor fields on a foliated manifold.
22#
發(fā)表于 2025-3-25 10:39:25 | 只看該作者
Rosa Mu?oz-Luna,Lidia Tailleferribed separately. In the codimension-one case, the only obstructions for a scalar function to be the mean curvature of a foliation arise from Stokes’ Theorem and a well known formula by H. Rummler relating mean curvature with the exterior derivative of the leaf volume form.
23#
發(fā)表于 2025-3-25 15:39:40 | 只看該作者
https://doi.org/10.1007/978-94-009-2177-1fold for different types of variations. Apart from varying among all metrics, we also deal with the case when the varying metric remains fixed along the distribution, and the complementary case when metric varies only along the distribution—preserving its orthogonal complement and the metric on it.
24#
發(fā)表于 2025-3-25 19:23:25 | 只看該作者
25#
發(fā)表于 2025-3-25 22:31:30 | 只看該作者
26#
發(fā)表于 2025-3-26 00:15:31 | 只看該作者
27#
發(fā)表于 2025-3-26 05:47:58 | 只看該作者
Variational Formulae,ntal question (similar to the question on existence of canonical metrics on a manifold) reads as: .? Our goal here is to examine the actions on a manifold for different types of variations. Apart from varying among all metrics, we also deal with the case when the varying metric remains fixed along t
28#
發(fā)表于 2025-3-26 11:56:38 | 只看該作者
29#
發(fā)表于 2025-3-26 14:43:23 | 只看該作者
Confounding of Effects in Rank-Based Conjoint-Analysis,cause of the scale requirements of new methods, such as hybrid models (e.g., Green 1984) or the standardized software package ACA (Green et al. 1991). Accordingly, this paper is intended for those who either (still) apply rank-based Conjoint-analyses or who want to compare their findings with those from past rank-based conjoint studies.
30#
發(fā)表于 2025-3-26 16:49:20 | 只看該作者
Integration of the Whole-Body Controller into a Higher-Level Framework,rm the tasks. A non-deterministic, AI-based planner can provide these data while not necessarily being hard-real-time-capable itself. In case of local minima on the control level, the planner is able to reschedule to find feasible, global solutions. Other modules such as the vision system or the speech recognition may also be triggered.
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