Results 301 to 310 of about 1,717,424 (325)

Role of Symmetry, Geometry, and Termination Chemistry on Misfit Dislocation Patterns at Semicoherent Heterointerfaces

, 2020
G. Pilania, P. Dholabhai, B. Uberuaga
semanticscholar   +1 more source

The geometry of broken symmetries

Il Nuovo Cimento B Series 10, 1970
A consideration of the fundamental requirements of relativistic invariance for the global observables of relativistic quantum systems leads to the postulate that these observables should be treated as geometric objects on the manifold of spacelike hyperplanes in Minkowski space.
openaire   +2 more sources

Differential geometry and internal symmetry

Journal of Mathematical Physics, 1975
It is shown using a generalized Lyra space that the concept of internal symmetry can be expressed in the language of differential geometry. By this method invariant and noninvariant interactions are generated by a gauge formalism.
openaire   +1 more source

Intelligent infrared sensing enabled by tunable moiré quantum geometry

Nature, 2022
Chao Ma, Shaofan Yuan, Patrick Cheung, Kenji Watanabe, T. Taniguchi, Fan Zhang, F. Xia   +6 more
semanticscholar   +1 more source

Symmetries of almost Grassmannian geometries

Differential Geometry and Its Applications, 2008
We study symmetries of almost Grassmannian and almost quaternionic structures. We generalize the classical definition for locally symmetric spaces and we discuss the existence of symmetries on the homogeneous models. We proves the local flatness of the symmetric geometries for most cases of almost Grassmannian geometries.
openaire   +1 more source

Geometry and Symmetry.

The American Mathematical Monthly, 1969
Seymour Schuster, Paul B. Yale
openaire   +1 more source

Homological Geometry and Mirror Symmetry

1995
A homogeneous polynomial equation in five variables determines a quintic 3-fp;d in ℂP4. Hodge numbers of a nonsingular quintic are know to be: h p, p = 1, p = 0, 1, 2, 3 (Kahler form and its powers), h3, 0 = h0,3 = 1 (a quintic happens to bear a holomorphic volume form), h2,1 = h1, 2 = 101 = 126 - 25 (it is the dimension of the space of all quintics ...
openaire   +1 more source

Quantum Geometry from Categorical Symmetry

This paper explores the emerging paradigm that quantum geometry, the structure of spacetime at the Planck scale, arises from the principles of categorical symmetry. Traditional notions of symmetry, based on group theory, are insufficient to capture the rich structure of quantum gravity.
openaire   +1 more source

Young children reasoning about symmetry in a dynamic geometry environment

, 2015
Oi-lam Ng, N. Sinclair
semanticscholar   +1 more source

GEOMETRY AND SYMMETRY

1990
openaire   +1 more source