Spacelike Hypersurfaces in de Sitter Space
Axioms,
Год журнала:
2025,
Номер
14(3), С. 155 - 155
Опубликована: Фев. 21, 2025
A
closed
conformal
vector
field
in
de
Sitter
space
S1n+1c¯
induces
a
on
spacelike
hypersurface
M
of
S1n+1c¯,
referred
to
as
the
induced
M.
This
article
investigates
characterization
compact
hypersurfaces
without
assuming
constancy
mean
curvature.
Specifically,
we
establish
that
under
certain
conditions,
is
sphere,
is,
totally
umbilical
with
constant
We
also
present
different
spheres
by
using
lower
bound
integral
Ricci
curvature
direction
field.
consider
Robertson–Walker
and
provide
several
characterizations
within
its
hypersurfaces.
Язык: Английский
Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds
Yanlin Li,
M. S. Siddesha,
H. Aruna Kumara
и другие.
Mathematics,
Год журнала:
2024,
Номер
12(19), С. 3130 - 3130
Опубликована: Окт. 7, 2024
In
this
work,
we
aim
to
investigate
the
characteristics
of
Bach
and
Cotton
tensors
on
Lorentzian
manifolds,
particularly
those
admitting
a
semi-symmetric
metric
ω-connection.
First,
prove
that
manifold
ω-connection
with
parallel
tensor
is
quasi-Einstein
flat.
Next,
show
any
Язык: Английский
A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold
Axioms,
Год журнала:
2024,
Номер
13(11), С. 753 - 753
Опубликована: Окт. 31, 2024
This
paper
focuses
on
some
geometrical
and
physical
properties
of
a
conformal
η-Ricci
soliton
(Cη-RS)
four-dimension
Lorentzian
Para-Sasakian
(LP-S)
manifold.
The
first
section
presents
an
introduction
to
Cη-RS
LP-S
manifolds,
followed
by
discussion
preliminary
ideas
about
the
LP-Sasakian
In
subsequent
sections,
we
establish
several
results
pertaining
manifolds
that
exhibit
Cη-RS.
Additionally,
consider
certain
conditions
associated
with
manifolds.
Besides
these
points
view,
this
in
perfect
fluid
spacetime
obtain
interesting
properties.
Finally,
present
case
study
Язык: Английский
Riemannian invariants for warped product submanifolds in Q ε m × R {{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications
Open Mathematics,
Год журнала:
2024,
Номер
22(1)
Опубликована: Янв. 1, 2024
Abstract
This
article
investigates
the
geometric
and
topologic
of
warped
product
submanifolds
in
Riemannian
Q
ε
m
×
mathvariant="double-struck">R
{{\mathbb{Q}}}_{\varepsilon
}^{m}\times
{\mathbb{R}}
.
In
this
respect,
we
obtain
first
Chen
inequality
that
involves
extrinsic
invariants
like
length
warping
functions
mean
curvature.
two
intrinsic
(sectional
curvature
δ
\delta
-invariant).
addition,
an
integral
bound
is
provided
for
Bochner
operator
formula
compact
terms
Ricci
gradient.
We
aim
to
apply
theory
many
structures
Dirichlet
eigenvalues
problem
applications.
Some
new
results
regarding
vanishing
are
presented
as
a
partial
solution,
can
be
considered
well-known
given
by
Chern.
Язык: Английский
Modified Sweeping Surfaces in Euclidean 3-Space
Axioms,
Год журнала:
2024,
Номер
13(11), С. 800 - 800
Опубликована: Ноя. 18, 2024
In
this
study,
we
explore
the
sweeping
surfaces
in
Euclidean
3-space,
utilizing
modified
orthogonal
frames
with
non-zero
curvature
and
torsion,
which
allows
us
to
consider
spine
curves
even
if
their
second
differentiations
vanish.
If
of
curve
a
surface
has
discrete
zero
points,
Frenet
frame
might
undergo
discontinuous
change
orientation.
Therefore,
conventional
parametrization
such
cannot
be
given.
Thus,
introduce
two
types
by
considering
curves;
first
one’s
is
not
identically
torsion
zero.
Then,
determine
criteria
for
classifying
coordinate
these
as
geodesic,
asymptotic,
or
lines.
Additionally,
delve
into
determining
minimal,
developable,
Weingarten.
Through
our
analysis,
aim
clarify
characteristics
defining
surfaces.
We
present
graphical
representations
sample
enhance
understanding
provide
concrete
examples
that
showcase
properties.
Язык: Английский
On Convergence of Toeplitz Quantization of the Sphere
Mathematics,
Год журнала:
2024,
Номер
12(22), С. 3565 - 3565
Опубликована: Ноя. 14, 2024
In
this
paper,
we
give
an
explicit
expression
of
the
Toeplitz
quantization
a
C∞
smooth
function
on
sphere
and
show
that
sequence
spectra
determines
its
decreasing
rearrangement.
We
also
use
to
prove
version
Szegö’s
Theorem.
Язык: Английский
Vector fields on bifurcation diagrams of quasi singularities
AIMS Mathematics,
Год журнала:
2024,
Номер
9(12), С. 36047 - 36068
Опубликована: Янв. 1, 2024
<p>We
describe
the
generators
of
vector
fields
tangent
to
bifurcation
diagrams
and
caustics
simple
quasi
boundary
singularities.
As
an
application,
submersions
on
pair
$
(G,
B)
$,
which
consists
a
cuspidal
edge
G
in
\mathbb{R}^3
that
contains
distinguishing
regular
curve
B
are
classified.
This
classification
was
used
as
means
investigate
contact
general
equipped
with
B\subset
has
planes.
The
singularities
height
functions
discussed
they
related
curvatures
torsions
distinguished
curves
edge.
In
addition
this,
discriminants
versal
deformations
were
accomplished
described
duality
edge.</p>
Язык: Английский